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Method for evaluating practical conditions for using orderly alloy in radiation environments (variants)

Method for evaluating practical conditions for using orderly alloy in radiation environments (variants)
IPC classes for russian patent Method for evaluating practical conditions for using orderly alloy in radiation environments (variants) (RU 2293308):
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FIELD: nuclear engineering.

SUBSTANCE: method for estimating practical conditions for usage of orderly alloy in radiation environments includes stages: receipt of irradiated state diagram, which reflects connection of far order power to variable R of irradiated state, connected to speed of damage and irradiation temperature, on basis of estimation formula, related to influence of radiation on far order power of orderly alloy, positioned in radiation environments, during usage as parameters of first threshold value, at which far order power begins to decrease substantially during irradiation, of second threshold value, at which far order power practically reaches balance after decrease, and far order power in balanced state, computation of variable R of irradiated state under conditions of irradiation, at which alloy subject to estimation will be used, and finding of value S of far order power, determining of first threshold value, second threshold value and far order power in balanced state for one and the same value R.

EFFECT: simplification of method, increased reliability.

2 cl, 1 tbl, 2 dwg, 1 ex

 

The technical field to which the invention relates.

The present invention relates to method of assessment practical conditions for use in radiation environments ordered alloy (in this proposal used the term "alloy" refers to the alloy and the intermetallic compound)having an ordered structure. This method is useful to establish a practical basis for the use of items of equipment or structures made of ordered alloys in environments in which the materials are exposed to radiation having a high energy, for example in the field of nuclear technology, for example in reactors and accelerators and in space technology.

The level of technology

When using new materials in radiation environments in which radiated corpuscular rays of high energy and expected to cause serious radiation damage, it is necessary to evaluate the suitability of materials for use in these environments and the absence of defects in a long time. Therefore, in the prior art are primarily plan radiation tests, which simulate ambient conditions, carry out experimental studies on irradiation, in which parametrizing many y the I exposure and obtained after irradiation of systematic survey data analyzed to obtain the practical conditions in which the materials can be used for irradiation.

However, to perform with high accuracy assessment, which you can use to guarantee a high degree of safety and reliability during use of the materials needed for a long period of time and the high cost of carrying out a huge number of tests and performing sufficient analysis. For example, in the development of materials for nuclear fission reactors, in the study of light water reactors and high temperature gas reactors and the development of materials for fusion reactor; in the case when radiation environments using new materials that are not the result of irradiation, the development of new materials type of zircalloy, Hastelloy XP, austenitic stainless steels, fine-flaked isotropic graphite, etc. requires the development time of about 10 years with the inevitable huge development costs.

Therefore, as described in the following articles 1-4 and so on, there are ways in which numerous research institutes in collaboration accumulate a huge amount of data on irradiation by creating a database on the exposed is the materials and use the data analyses. However, under modern conditions such methods has not yet reached the stage at which the data on irradiation could systematically analyze, no decision on the results of the analysis, the evaluation rule or database, from which you can easily get practical conditions for use.

Description of radiation damage of materials is very complicated. Radiation damage begins with the shock of high energy particles and consists of instantaneous processes of heating and cooling, and various reaction processes, such as the displacement of the atoms, the formation, growth and diffusion of defects, aggregation and fusion defects, initiation and crack propagation. Although some of these reactions is expressed by mathematical formulas, such as the diffusion equation, for almost all of these reactions require large volumes of high-speed computer processing on the basis of statistical processing using molecular dynamics, Monte Carlo and dynamics of dislocations. For this reason, because currently there is a limit to the computational capacity of computers, it is difficult to analyze the whole picture of radiation damage and systematically to understand radiation damage, even if you use the supercomputer of the last generation. In addition, lack the t estimated by the formula, which gives the opportunity to describe the radiation damage at the evaluation of the characteristics of the material and, consequently, to the present time it is impossible to instantly receive practical conditions under which the material can be used in the irradiation process (practical conditions for use).

The problem to be solved in the present invention stems from the fact that for applications in radiation environments of new materials, is represented by an ordered alloys, there is no way of estimating within a short period of time and at a low cost practical conditions for the use of materials under irradiation, and for this reason it is difficult to introduce materials that have no results on irradiation.

Article 1: Shuichi Iwata et al., Materials data base for fusion reactors-1, Journal of Nuclear Materials, vol.103 (1982), pp.173-177.

Article 2: Hajime Nakajima et al., Present status of data-free-way - Distributed database for advanced nuclear materials Journal of Nuclear Materials, vol.212/215 (1994), pp.1711-1714.

Article 3: Mitsutane Fujita et al., Application of the distributed database (data-free-way) on the analysis of mechanical properties in neutron irradiated 316 stainless steel, Fusion Engineering and Design, vol.51/52 (2000), pp.769-774.

Article 4: Yoshiyuki Kaji et al., Status of JAERI material performance database (JMPD) and analysis of irradiation assisted stress corrosion cracking (IASCC) data, Journal of Nuclear Science and Technology, vol.37 (2000), pp.949-958.

Disclosure of inventions

According to the present invention a method in which the assumption that the radiation characteristic is due to the formation and annihilation of radiation defects, use the index, which expresses the irradiated condition, on the basis of average receive an evaluation formula that takes into account the effect of radiation environments on record, and on this basis, simply and quickly predict changes in the indicator due to the influence of irradiation and radiation environments.

More specifically, according to the present invention, a method of assessment practical conditions for use of an ordered alloy in radiation environments, comprising the following steps: obtaining charts irradiated condition, which expresses the relationship of the degree of long-range order with variable R irradiated condition that is associated with the rate of damage, which can be obtained on the basis of the flux density, and temperature of exposure, based on the evaluation formula related to the effects of radiation irradiated on the state of the alloy in accordance with the ordered alloy structure, using as parameters the first threshold value, at which the degree of long-range order begins to decrease upon irradiation, the second threshold value, at which the degree of long-range order almost reaches equilibrium after reduction, and the degree of long-range order in the equilibrium state; calculating variable R irradiated state in the conditions of exposure under which with the love, subject to assessment, will be used, and finding the value of S degree of long-range order, the corresponding variable R; and finding and comparing the first threshold value Sth1the second threshold value Sth2and the degree of Seqlong-range order in equilibrium with the same value of R, in order to predict the level of damage and the condition of changes in the level of damage and to evaluate the practical conditions for use.

In addition, according to the present invention, a method of assessment practical conditions for use of an ordered alloy in radiation environments, comprising the following steps: obtaining charts irradiated condition, which expresses the connection speed damage (flux density) with the inverse temperature exposure, based on the evaluation formula related to the effects of radiation irradiated on the state of the alloy in accordance with the ordered alloy structure, by using as parameters the first threshold value, at which the degree of long-range order begins to decrease upon irradiation, the second threshold value, at which the degree of long-range order almost reaches equilibrium after reduction, and the degree of long-range order in the equilibrium state; calculating the reciprocal rate is the atmospheric temperature exposure of the alloy, subject to assessment, the exposure conditions under which the alloy will be used, and finding the value of S degree of long-range order corresponding to reverse the greatness of the irradiation temperature; and finding and comparing the first threshold value Sth1the second threshold value Sth2and the degree of Seqlong-range order in the equilibrium state at one and the inverse value of the irradiation temperature, to thereby predict the level of damage and the condition of changes in the level of damage and to evaluate the practical conditions for use.

In these methods, the evaluation of the comparison carried out respectively between S and value Sth1the value of Sth2and the value of Seqat the same R value or the same to the inverse value of the irradiation temperature (where 0≤Seq<Sth2<Sth1<1) and the quantitative ratio of these values can be estimated as follows:

(1) when Sth1<S: alloy which is subject to assessment, is organized and has a low level of damage (degree of long-range order large);

(2) when Sth2<S<Sth1: alloy which is subject to assessment, is in the process of transition from an ordered state to a disordered state, and the level of damage is strongly fluctuates and has the the tendency toward a rapid rise (degree of long-range order is significantly reduced);

(3) when Seq<S<Sth2: alloy which is subject to assessment, is in the process almost achieve the disordered state, and the level of damage great, but fluctuates weakly (value less long-range order is small and the degree of long-range order is small); and

(4) when S<Seq: alloy which is subject to assessment, is a disordered condition and has a high level of damage (degree of long-range order small).

According to the present invention can greatly simplify a large number of experiments on irradiation, which were hitherto been necessary, and simply and quickly get practical conditions for the use of an ordered alloy (alloy-ordered structure) under irradiation, such as temperature irradiation, the rate of damage (flux density) and flow exposure, without having to create a new database irradiation. For this reason, it is possible to significantly reduce the duration of significant radiation tests, studies after irradiation and evaluation of the results of the analysis, long-term implementation of which has until now been necessary, and can radically reduce the cost of testing before irradiation, the cost of testing during irradiation, the cost of testing after exposure, the cost analysis is etc. In the result, you can quickly and effectively stimulate the development of new materials that are resistant to radiation conditions, such as an ordered alloy.

Brief description of drawings

In the drawings:

figure 1 - chart of comparison of degree of long-range order (degree of short-range order) and the values of R for the ordered alloy type B2; and

figure 2 - comparison chart speed damage and irradiation temperature for an ordered alloy of type B2.

Preferred embodiments of the inventions

The present invention uses the evaluation formula based on the transition of order-disorder during irradiation. Atomic substitution, created by the irradiation, causes local structural change in the ordered alloy and the disordering of ordered alloy under irradiation. On the other hand, depending on the irradiation temperature is stimulated by the introduction of radiation defects and stimulates the ordering of an ordered alloy. Irradiated state of the ordered alloy is a process by which such disordering and ordering occur at the same time, and under conditions in which the disordering and ordering are balanced, it is irradiated state is under the strong influence of temperature changes obleceni is, speed damage (flux density) and flow exposure, which constitute the conditions of the radiation environment.

As a result, taking into account the degree of long-range order of an ordered alloy as an indicator that expresses the irradiated condition, reflecting the effects of irradiation, analyze the effect of irradiation on the degree of long-range order and receive an evaluation formula that takes into account the effect of irradiation on the far right. The "degree of order", as used in this application, is a physical quantity that expresses the views of atomistic values with the order and magnitude of this procedure in the transition of the order-disorder, and is a parameter that characterizes the phase transition. Using this estimated equation to find the relationship between temperature exposure and the rate of damage, the corresponding threshold value of the exposure, and get the chart for the analysis of irradiated condition. In the case when such a chart for each of the ordered alloy is obtained, the conditions relative to the speed of damage and irradiation temperature, which can be used during irradiation, can easily become apparent.

Usually the chart irradiated condition, which expresses the relationship of the degree of long-range order with variable R irradiated with the standing, associated with the rate of damage and temperature of exposure, respectively, received the ordered alloy structure based on the evaluation formula associated with the influence of radiation irradiated on the state of the alloy, by using as parameters the first threshold value, at which the degree of long-range order begins to decrease upon irradiation, the second threshold value, at which the degree of long-range order almost reaches equilibrium after reduction, and the degree of long-range order in the equilibrium state. On the other hand, compute variable R irradiated state in the conditions of exposure under which the alloy is subject to assessment, will be used, and find the value of S degree of long-range order corresponding to the variable R. At the same time find and compare the first threshold value Sth1the second threshold value Sth2and the degree of Seqlong-range order in equilibrium with the same value of R.

At the same R value comparison is carried out respectively between S and value Sth1the value of Sth2and the value of Seq(where 0≤Seq<Sth2<Sth1<1), and on the basis of the quantitative relationship of these values can be made the following estimates:

(1) when Sth1<S: alloy is ordered in the om condition and has low damage (degree of long-range order is large);

(2) when Sth2<S<Sth1: the alloy is in transition from an ordered state to a disordered state, and the level of damage is strongly fluctuates and tends to a rapid increase (degree of long-range order is significantly reduced);

(3) when Seq<S<Sth2: the alloy is in the process almost achieve the disordered state, and the level of damage is great, but fluctuates weakly (value less long-range order is small, and the degree of long-range order is small), and

(4) when S<Seq: the alloy is in a disordered state and has a high level of damage (degree of long-range order small).

Thus predict the level of damage and the condition of changes in the level of damage and assess the practical conditions for use.

Example

Irradiated condition strongly depends on the irradiation temperature, radiation damage, and rate of damage, which constitute the radiation surrounding conditions. Speed damage in the irradiation conditions in the Japanese reactor for testing materials (JMTR) Japanese research Institute of nuclear energy range from 10-7up to 10-8displacements per atom per second, and the rate of damage in the conditions of exposure in the experimental reactor ' is where the neutrons (JOYO) Japanese design Institute of nuclear cycle range from 10 -6up to 10-8displacements per atom per second. The temperature at which eliminates damage to the ordered alloy irradiated in these test reactors, according to the present invention is obtained by the implementation of the comparison between the conditions of radiation environments and the threshold values on the chart irradiated condition according to the present invention, and irradiated condition can be estimated based on the temperature.

Conclusion the evaluation of a formula related to exposure, is as follows. Just for example here illustrates the case of an ordered alloy of type B2, (ordered alloy type CsCl with respect to the composition of the number of atoms And the number of atoms In 1:1, where the atoms a and atoms In the form of a binary alloy), which is typical of an ordered alloy. However, other cases of ordered alloys also can be discussed similarly. The same also applies in the case when the degree of short-range order of the Warren-Cowley or similar is used instead of the degree of long-range order (degree of long-range order of the Bragg-Williams). The degree's long-range order (degree of long-range order of the Bragg-Williams) of an ordered alloy of type B2 under irradiation have been found using S = (the probability that composed sublattice correctly filled constituante atoms) - (ve is aatest, what made sublattice incorrect constituante atoms).

That is,

where α and β denote the sublattice α and the sublattice β respectively, in the ordered alloy, and the subscripts a and b denote the atom a and atom, respectively.

The rate of change over time, this degree of long-range order is:

where the first term in the right-hand side denotes the rate of disordering, and the last term indicates the speed of ordering.

In the present description in formulas the following notation is used:

ε: effectiveness of disordering;

φ: damage;

K: function of temperature;

Zα, Zβ: the coordination number of sublattices α and sublattices β;

CV: concentration of vacancies (assumed to be proportional to the rate 1/2 degree of speed, damage);

ν: factor frequency;

WithAndWithIn: concentration of atoms a and atoms In;

E: activation energy for creating ordering jump vacancies;

κ: Boltzmann's constant; and

T: temperature.

The following equation is obtained from the balance conditions of the ordering process and the process of disordering in radiation environments:

where two roots are relatively α and β have the form:

(dual sign, you should choose the plus sign or a minus, β<α, 0<β<1, 1<α).

The solution is obtained only for S=βwhich satisfies the condition 0≤S<1.

However,

R=κ/εφ=Seq/(1-Seq)2, (0≤R<∞)

where Seqindicates the degree of long-range order in the equilibrium state.

Therefore, when using R as a parameter, we get the following analytical solution:

Due to the irradiation of degree S long-range order smoothly decreases with increasing time of exposure from the value (S=1) before irradiation and reaches its equilibrium value at a certain time of exposure. The first member β in the equation is the degree of Seqlong-range order in the equilibrium state corresponding to the convergent value at this point in time. The last member is a member of the time-dependent, and reflects the time variation of the degree of long-range order, which is gradually approaching the degree of long-range order in equilibrium with increasing time of exposure.

The relationship between the first threshold value Sth1where's degree long-range order begins to decrease in the irradiation process, the second paragraph is Horny value of S th2where the degree of long-range order almost reaches equilibrium after reduction, and the parameter R is given by the following equations, derived from the second differential and the main differential associated with R:

Moreover, the degree of Seqlong-range order in the equilibrium state is given by the following equation:

where: 0≤Seq<Sth2<Sth1<1.

On the other hand, the degree σ short-range order of the Warren-Cowley, corresponding to each of the degrees of long-range order, are as follows. The expression for the number of pairs And atoms formed by atoms in a binary alloy with the nearest neighboring atom has the form:

NAA=(1/2)N·Z·CA·PAA

where PAA: the probability that the atom And the sublattice α and the atoms in sublattice βthat make up the alloy, to form pairs And atoms;

Z: coordination number.

PAAapproximated in the following form:

ratio in which the atoms And fill the seats in the sublattices α and β

However, it is assumed that the nearest neighboring atoms there is no correlation between the pair a-a of atoms, formed by atoms And, within the same sublattice (εAA)=0). The conditions of the calculations related to the summation of members with subscripts of the above equations have the following form:

On the other hand, the relationship with the degree's long-range order is expressed by the following equation:

However, from the relation between the CAndand ν (relative concentration sublattice α) is γ is given by the expression:

γ=CAnd(1-ν)/νwhenAnd≤ν

γ=1-CAndwhenAnd≥ν

From these relations, we get the following equation:

From the condition Zα=Zβ=Z in the case of an ordered alloy of type B2 is obtained the following equation:

By definition, the degree σ1the middle order satisfies the condition:

where

Therefore, from σ1=(RAA-CAnd)/SInwe get the following equation:

According to the present invention, the degree of long-range order (degree of short-range order) is calculated by substituting the values of R found from the irradiation conditions, and the degree daling the order in the equilibrium state, and the state of the exposure can be predicted by the value of the degree of long-range order (degree of short-range order). The dependence between the degree of long-range order (degree of short-range order) and the value of R (figure irradiated state) shown in figure 1. Since the R value is a function of speed and damage values of K (R=K/εφ), and the value of K is a function of the temperature T of irradiation, it follows that the value of R becomes a function of speed φ damage and temperature T of irradiation. On the upper half of figure 1 shows depending on R the first threshold value Sth1where the degree of long-range order in the radiation begins to decrease, found from equation (2), the second threshold value Sth2where the degree of long-range order almost reaches equilibrium after reduction, is found from equation (3), the degree of Seqlong-range order in the equilibrium state, which is found from equation (4). On the bottom half of figure 1 shows the degree of short-range order according to equation (5) on the basis of each of the degrees of long-range order.

Method of assessment using state diagrams irradiation of figure 1 is as follows. Calculate the value of R on the basis of the specific conditions relating to the new material subject to use, and the value S degree far p is the row, found from equation (1), applied to figure 1. The comparison is carried out between the value of S and value Sth1the value of Sth2and the value of Seqaccordingly, when the same value of R (0≤Seq<Sth2<Sth1<1) and on the basis of the quantitative relationship of these values to make a qualitative assessment as follows:

(1) when Sth1<S: brand new material to be used is in an ordered state and has a low level of damage (degree of long-range order large);

(2) when Sth2<S<Sth1new material is in transition from an ordered state to a disordered state, and the level of damage is strongly fluctuates and tends to a rapid increase (degree of long-range order is significantly reduced);

(3) when Seq<S<Sth2new material is in the process almost achieve the disordered state, and the level of damage great, but fluctuates weakly (value less long-range order is small and the degree of long-range order is small); and

(4) when S<Seqnew material is in the disordered state and has a high level of damage (degree of long-range order small).

In addition, the degree of short-range order in figure 1 we can estimate the local is the information, for example, the tendency of pairs of dissimilar atoms (σ: a negative value) or pairs of atoms of the same type (σ: positive value) in relation to the nearest neighboring atoms.

As shown in figure 1, the curves related to the degree of long-range order and to the extent the middle order, are cool in the vertical direction, and it is assumed that the material in which the degree of order is very close to±1, the deterioration of properties in the process of irradiation is small. In figure 1 the different conditions of irradiation converted into values of R that are simple, and the changes predicted on the degree of order is made visible through the values of R (as a function of values of R), whereby is made possible spatial coverage of the nature of these changes. This makes it easy to compare them with various changes of physical properties, and can be easily found based on them.

The table shows the dependencies between the threshold values of the degree of long-range order and the threshold values of the degree of the middle order.

The degree's long-range order of the Bragg-Williams Degree σ1the middle order of the Warren-Cowley (between the nearest neighboring and atoms)
The equilibrium value The threshold value The equilibrium value The threshold value
Seq Sth2 Sth1 σ1-eq σ1-th2 σ1-th1
0,1 0,197 0,351 -0,01 -0,039 -0,123
0,2 0,385 0,598 -0,04 -0,148 -0,358
0,3 0,550 0,757 -0,09 -0,303 -0,573
0,4 0,690 0,857 -0,16 -0,476 -0,734
0,5 0.800 to 0,918 -0,25 -0,64 -0,843
0,6 0,882 0,956 -0,66 -0,778 -0,914
0,7 0,940 0,979 -0,49 -0,884 -0,958
0,8 0,976 0,992 -0,64 -0,953 -0,984
0,9 0,994 is 0.998 -0,81 -0,988 -0,996
0,92 0,997 0,999 -0,846 -0,994 -0,998
0,95 0,999 0,999 -0,998 -0,998 -0,998
0,98 0,999 0,999 -0,998 -0,998 -0,998
0,99 0,999 0,999 -0,998 -0,998 -0,998

The value of R (R=K/εφ=Seq/(1-Seq)2, (0≤R<∞)) is found by determining the values of Seqand, if the value of R is determined, the value of Sth1and the value of Sth2find from equations (2) and (3), since each of the values of Sth1and Sth2is a function of R. on the other hand, the degree of short-range order is found from the obtained degree of long-range order, using equation (5), and a value of σeqthat is σth1and is σth2get the value of Seqthe values of Sth1and the values of Sth2respectively. The table shows the results obtained in this way.

From the table it is evident that in the case when the equilibrium value of the degree of long-range order is approaching, for example, the interval from 0.1 to 0.2 (which corresponds to the condition in which the disordering significantly), the extent to which the degree of order begins the mind is to Tsatsa, Sth1begins to sharply decrease from 0.6, almost coming to equilibrium at 0,39 or approximately it and reaches it at 0.2 (equilibrium value). In addition, when the degree of order begins to decrease from 0.35 or approximate about this, Sth1almost approaching to equilibrium at 0.2 and reaches equilibrium at 0.1. Provided that this degree of order, which starts to decrease, Sth1has large values from 0.9 to 0.8, or approximately so, the decrease in the degree of order can be maintained within the range from 0.8 (equilibrium value: 0.5) to 0.6 (equilibrium value: a little lower than 0.4), even if the degree of order decreases (disordering is not observed). In contrast, if the value of Sth1becomes not more than 0.6 degree of long-range order is sharply reduced, and hence, the disorder becomes visible.

In accordance with these changes, the degree of short-range order is obtained by squaring the degree of long-range order, multiplying this value by a factor of and changes to reverse the sign of the value. Therefore, when the equilibrium value of the degree of long-range order close to the interval from 0.1 to 0.2, it is found equilibrium value of the short-range order from 0.01 to -0,04, and it becomes a value that almost approaches zero (once poryadocinii). On the other hand, in the case when the equilibrium value of the long-range order close to the interval from 0.9 to 0.8, the equilibrium value of the short-range order is between-0.8 and of-0.6, and this suggests that the ordering of the middle order (the ordering of pairs of dissimilar atoms) occurs precisely at the atomic level.

As for the differences between the degree of long-range order and degree of short-range order, the amount by which the degree of order decreases, more if the degree of short-range order than in the case of the degree of long-range order, and this suggests that, even when the reduction of size of order at the level of long-range order is small in the case of the degree of long-range order can be the case when the decrease in the degree of short-range order occurs at a larger value when considered in the framework of changes in the degree of short-range order at the atomic level.

The degree of short-range order is the degree of order within the range of the atomic level of the first neighboring atom, the second neighboring atom and third neighboring atoms, that is, within the nearest atom, a nearest-neighbor atom, the second toward the nearest atom and the nearest neighboring atom, next toward the next adjacent atom (the table shows only the cases between the nearest neighboring atoms). In opposite to the th this degree of long-range order corresponds to the degree of order within a relatively large range, from several to tens of crystal lattices, and not at the atomic level. The dependence shown in equation (5)exists between the two degrees of order. From equation (5) the degree of short-range order obtained by multiplying the square of the degree of long-range order on a constant and changes to reverse the sign of the value. For example only, when the degree of long-range order is close to 1, the degree of short-range order is approaching -1 (a pair of dissimilar atoms).

Between the degree of short-range order and degree of long-range order exists the following relationship. The closer the degree of long-range order to the value 1, the more the value of the order, while the closer it is to 0, the higher the magnitude of the disorder. With regard to the degree of short-range order ordering dissimilar atoms occurs when the value is close to -1, and the ordering of the atoms of the same kind occurs when a value close to+1, whereas the disordering occurs when the value is closer to 0. If we consider the actual process of formation of radiation damage, the first radiation damage occurs to the extent that high energy particles (neutrons, ions, electrons etc) face material, whereby radiation defects formed thin level degree b is inego order), then these radiation defects grow and coalesce, forming large aggregates of defects (the degree of long-range order), and finally, lead to cracks and damage. The degree of short-range order is more than supporting the evaluation material and necessary for carrying out assessments on a subtle level at the initial stage of the process damage. In real cases, after assessment of the condition of the injury of the whole sample using the degree of long-range order check the status of the local damage with the degree of short-range order. In this sense, it is appropriate to assume that the degree of short-range order is used when carrying out evaluations of "advanced"and not "help".

The relationship between the temperature T and velocity damage (the speed at which the injury occurs) φ is given by the following equation:

The dependence between the rate of damage (the speed at which the injury occurs) and the temperature in the case when the degree of long-range order reaches equilibrium has the following form:

where Teqindicates the temperature at which the degree of short-range order reaches equilibrium.

Similarly we obtain the following equations:

where the values of Tth1 and T th2and values φth1and φth2respectively denote the threshold values of the temperature and the threshold values of the velocity injuries related to the degree of long-range order.

Figure 2 shows how to perform assessments directly from the irradiation conditions, and shows the relationship between the logarithmic rate of corruption, which exists in the real irradiation conditions, and the reciprocal of the temperature. Because we use the same equations as for figure 1, the degree's long-range order is the only way, and the method of figure 1 and method 2 are equivalent to each other when calculating the value of S. Although the degree of short-range order, as shown in figure 1, not shown in figure 2, if necessary, a similar diagram in the drawing is obtained by the image extent of the middle order, was found using equation (5).

Figure 2 is convenient because the value of S can be estimated directly from the actual irradiation conditions without calculating the value of R. In this case, the prediction of changes in the value of S is required to perform work on the decryption and the like and it is not easy to make a comparison with figure 1, since the spatial image related to the prediction of the value of S, is not directly and also use a logarithmic scale. what, however, estimates can be easily carried out by a specialist in the processing of graphic materials similar to the chart, and decryption. Incidentally, there is a tendency of displacement of the straight lines in figure 2 down and to the left, when the damage is eliminated, and the trend is offset up and to the right when the damage occurs.

Illustrative example

The applicant has performed a study on neutron irradiation of TiNi alloy, which is an ordered alloy of type B2, in the Japanese reactor for testing materials (JMTR) Japanese research Institute of nuclear energy. From the results of the study revealed that in case of changes in the degree of long-range order is evaluated according to changes in the magnitude of the fall transition temperature found on the basis of measurement of electrical resistance, reducing the degree of long-range order under neutron irradiation can be stopped by holding the irradiation temperature above 520 K, and thereby significantly reduced the degradation under irradiation, and that the method of the present invention is also confirmed experimentally.

In accordance with the present invention, which uses a chart irradiated condition according to the invention, it is possible to significantly reduce the excessive length of trials irradiation, studies after irradiation and analysis of the estimated long run which up to this time is was mandatory, and simply and quickly get practical conditions for the ordered alloy under irradiation. In accordance with the present invention in the development of new materials, which usually requires the development phases with a duration of not less than 10 years, you can reduce the time to no more than a few years, i.e. until no more than 1/3 of the time required until the present time, and the applicant may hope that the development of materials that resist radiation environments can be inexpensive.

1. Method of assessment practical conditions for use of an ordered alloy in radiation environments, comprising the following steps: obtaining charts irradiated condition, which expresses the relationship of the degree of long-range order with variable R irradiated condition that is associated with the rate of damage and temperature exposure, based on the evaluation formula related to the influence of irradiation on the degree of long-range order of an ordered alloy in radiation environments, using as parameters the first threshold value, at which the degree of long-range order begins to significantly decrease upon irradiation, the second threshold value, at which the degree of long-range order is essentially reaches equilibrium after reduction, and the degree of long-range order in the equilibrium state, Vychisl the s variable R irradiated state in the conditions of irradiation, when the alloy is subject to assessment, will be used, and finding the value of S degree of long-range order corresponding to the variable R, and finding and comparing the first threshold value Sth1the second threshold value Sth2and the degree of Seqlong-range order in equilibrium with the same value of R, in order to predict the level of damage and the condition of changes in the level of damage and to evaluate the practical conditions for use.

2. Method of assessment practical conditions for use of an ordered alloy in radiation environments according to claim 1, in which the comparison is carried out respectively between S and value Sth1the value of Sth2and the value of Seqwhen a single value of R, where 0≤Seq<Sth2<Sth1<1, and the quantitative ratio of these values make the assessment as follows: when Sth1<S, which indicates a greater degree of long-range order, the alloy which is subject to assessment, is organized and has a low level of damage; when Sth2<S<Sth1that indicates a significant decrease in the degree of long-range order, the alloy which is subject to assessment, is in the process of transition from an ordered state to a disordered state, and the level of damage badly fluctuate the t and has a tendency to a rapid increase; when Seq<S<Sth2that indicates a small value of reduction of the degree of long-range order and a small degree of long-range order, the alloy which is subject to assessment, is in the process essentially achieve the disordered state, and the level of damage great, but fluctuates weakly; and when S<Seqthat indicates a small degree of long-range order, the alloy which is subject to assessment, is a disordered condition and has a high level of damage.

3. Method of assessment practical conditions for use of an ordered alloy in radiation environments, comprising the following steps: obtaining charts irradiated condition, which expresses the connection speed damage with an inverse value of the irradiation temperature on the basis of the evaluation of a formula related to the influence of irradiation on the degree of long-range order of an ordered alloy in radiation environments, by using as parameters the first threshold value, at which the degree of long-range order begins to significantly decrease upon irradiation, the second threshold value, at which the degree of long-range order is essentially reaches equilibrium after reduction, and the degree of long-range order in the equilibrium state; calculating the reciprocal of the irradiation temperature of the alloy, beside Amigo assessment the irradiation conditions under which the alloy will be used, and finding the value of S degree of long-range order corresponding to reverse the greatness of the irradiation temperature; and finding and comparing the first threshold value Sth1the second threshold value Sth2and the degree of Seqlong-range order in the equilibrium state at one and the inverse value of the irradiation temperature, to thereby predict the level of damage and the condition of changes in the level of damage and to evaluate the practical conditions for use.

4. The method according to claim 3, in which the comparison is carried out respectively between S and value Sth1the value of Sth2and the value of Seqat the same inverse temperature exposure, where 0≤Seq<Sth2<Sth1<1, and the quantitative ratio of these values make the assessment as follows: when Sth1<S, which indicates a greater degree of long-range order, the alloy which is subject to assessment, is organized and has a low level of damage; when Sth2<S<Sth1that indicates a significant decrease in the degree of long-range order, the alloy which is subject to assessment, is in the process of transition from an ordered state to a disordered state, and the level of damage is strongly fluctuates and has the tendency to a rapid increase; when Seq<S<Sth2that indicates a small value of reduction of the degree of long-range order and a small degree of long-range order, the alloy which is subject to assessment, is in the process essentially achieve the disordered state, and the level of damage great, but fluctuates weakly; and when S<Seqthat indicates a small degree of long-range order, the alloy which is subject to assessment, is a disordered condition and has a high level of damage.

 

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