CN110033831A - The mechanical property prediction method and device of high temperature alloy - Google Patents
The mechanical property prediction method and device of high temperature alloy Download PDFInfo
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Abstract
The disclosure provides the mechanical property prediction method and device of a kind of high temperature alloy.The mechanical property prediction method of the high temperature alloy includes: to be buried in oblivion based on dislocation movement by slip, dislocation climb, dislocation multiplication and dislocation, the corresponding relationship of the plastic flow amount of slip system in settling time and the high temperature alloy；According to the corresponding relationship, plastic flow amount of each slip system within the object time in the high temperature alloy is determined；Plastic strain of the high temperature alloy within the object time is determined according to multiple plastic flow amounts.The disclosure can carry out mechanical properties prediction to high temperature alloy without test, and can be improved the accuracy of identified plastic strain.
Description
Technical field
This disclosure relates to the mechanical property prediction method and device of field of material technology more particularly to a kind of high temperature alloy.
Background technique
High temperature alloy is aero-engine critical material, is usually used in manufacturing the turbine disk and blade.Predict the power of high temperature alloy
Performance change is learned, is of great significance to the reasonable employment and maintenance of aviation transmitter.
Currently, main obtain strain of the high temperature alloy under a stress by strain-gauge test, and then obtain high temperature alloy
Mechanical curves, and predicted according to mechanical property of the curve to high temperature alloy.However, being led due to equipment etc.
It causes test mechanical curves accuracy obtained low, thereby reduces the accuracy of high temperature alloy mechanical properties prediction.
It should be noted that the information in the invention of above-mentioned background technology part is only used for reinforcing the reason to the background of the disclosure
Solution, therefore may include the information not constituted to the prior art known to persons of ordinary skill in the art.
Summary of the invention
The mechanical property prediction method and device for being designed to provide a kind of high temperature alloy of the disclosure, can without
Mechanical properties prediction is carried out to high temperature alloy in the case where test, and can be improved the accuracy of identified plastic strain.
According to one aspect of the disclosure, a kind of mechanical property prediction method of high temperature alloy is provided, comprising:
Buried in oblivion based on dislocation movement by slip, dislocation climb, dislocation multiplication and dislocation, it is sliding in settling time and the high temperature alloy
Move the corresponding relationship of the plastic flow amount of system；
According to the corresponding relationship, plastic flow of each slip system within the object time in the high temperature alloy is determined
Amount；
Plastic strain of the high temperature alloy within the object time is determined according to multiple plastic flow amounts.
In a kind of exemplary embodiment of the disclosure, fallen into oblivion based on dislocation movement by slip, dislocation climb, dislocation multiplication and dislocation
It goes out, settling time and the corresponding relationship of the plastic flow amount of slip system in the high temperature alloy include:
Buried in oblivion based on dislocation movement by slip, dislocation climb, dislocation multiplication and dislocation, establish equation group, the equation group are as follows:
Wherein, m is the positive integer more than or equal to 1,For the positive edge dislocation density of m-th of slip system,For the negative edge dislocation density of m-th of slip system,For the plastic flow amount in m-th of slip system,For sky
Between coordinate, t is time, bmFor the Bai Shi vector of m-th of slip system, hmFor the mould of the Bai Shi vector of m-th of slip system, nmFor m
The slide surface normal vector of a slip system, wmFor the mould of the slide surface normal vector of m-th of slip system,It is slid for m-th
The sliding velocity of the positive edge dislocation of system,For the sliding velocity of the negative edge dislocation of m-th of slip system,For the speed of climbing of the positive edge dislocation of m-th of slip system,For the negative blade type position of m-th of slip system
Wrong speed of climbing, y are that in the characteristic distance in direction of climbing, η is proliferation for positive edge dislocation and negative edge dislocation in annihilation process
Strength factor, τgTo slide effective stress.
It is described in a kind of exemplary embodiment of the disclosureWithIt is equal toWherein,
B is to pull coefficient.
In a kind of exemplary embodiment of the disclosure, the τgIt is determined by the first preset formula, described first is default
Formula are as follows:
Wherein, σ is long-range stress: indicate double dot product operation.
It is described in a kind of exemplary embodiment of the disclosureWithIt is equal toWherein,
B is to pull coefficient, τcFor effective stress of climbing.
In a kind of exemplary embodiment of the disclosure, the τcIt is determined by the second preset formula, described second is default
Formula are as follows:
Wherein, σ is long-range stress: indicate double dot product operation.
In a kind of exemplary embodiment of the disclosure, determine that the high temperature alloy exists according to multiple plastic flow amounts
Plastic strain in the object time includes:
Determine the high temperature alloy in the target based on third preset formula, and according to multiple plastic flow amounts
Interior plastic strain field, the third preset formula are as follows:
Wherein, εplFor the plastic strain field；
Mean value is done to the plastic strain field, with plastic strain of the determination high temperature alloy within the object time.
According to one aspect of the disclosure, a kind of mechanical properties prediction device of high temperature alloy is provided, comprising:
Module is established, for being buried in oblivion based on dislocation movement by slip, dislocation climb, dislocation multiplication and dislocation, settling time and institute
State the corresponding relationship of the plastic flow amount of slip system in high temperature alloy；
First determining module, for determining that each slip system is in target in the high temperature alloy according to the corresponding relationship
Plastic flow amount in time；
Second determining module determines the high temperature alloy within the object time according to multiple plastic flow amounts
Plastic strain.
In a kind of exemplary embodiment of the disclosure, the module of establishing is for based on dislocation movement by slip, dislocation climb, position
Mistake proliferation and dislocation are buried in oblivion, and equation group, the equation group are established are as follows:
Wherein, m is the positive integer more than or equal to 1,For the positive edge dislocation density of m-th of slip system,For the negative edge dislocation density of m-th of slip system,For the plastic flow amount in m-th of slip system,For sky
Between coordinate, t is time, bmFor the Bai Shi vector of m-th of slip system, hmFor the mould of the Bai Shi vector of m-th of slip system, nmFor m
The slide surface normal vector of a slip system, wmFor the mould of the slide surface normal vector of m-th of slip system,It is slid for m-th
The sliding velocity of the positive edge dislocation of system,For the sliding velocity of the negative edge dislocation of m-th of slip system,For the speed of climbing of the positive edge dislocation of m-th of slip system,For the negative blade type position of m-th of slip system
Wrong speed of climbing, y are that in the characteristic distance in direction of climbing, η is proliferation for positive edge dislocation and negative edge dislocation in annihilation process
Strength factor, τgTo slide effective stress.
In a kind of exemplary embodiment of the disclosure, second determining module includes:
Strain field determines submodule, for based on third preset formula and according to multiple plastic flow amounts determinations
Plastic strain field of the high temperature alloy within the object time, the third preset formula are as follows:
Wherein, εplFor the plastic strain field；
It strains and determines submodule, for doing mean value to the plastic strain field, with the determination high temperature alloy in the mesh
Mark the plastic strain in the time.
The mechanical property prediction method and device of the high temperature alloy of the disclosure, during prediction, without being tested, and
Due to the corresponding relationship be foundations is buried in oblivion based on dislocation movement by slip, dislocation climb, dislocation multiplication and dislocation, thus improve it is true
The accuracy of fixed plastic flow amount, and then improve the accuracy of identified plastic strain.
It should be understood that above general description and following detailed description be only it is exemplary and explanatory, not
The disclosure can be limited.
Detailed description of the invention
It is described in detail its exemplary embodiment by referring to accompanying drawing, the above and other feature and advantage of the disclosure will become
It obtains more obvious.It should be evident that the accompanying drawings in the following description is only some embodiments of the present disclosure, it is common for this field
For technical staff, without creative efforts, it is also possible to obtain other drawings based on these drawings.Attached
In figure:
Fig. 1 is the flow chart of the mechanical property prediction method of disclosure embodiment high temperature alloy；
The schematic diagram of the mechanical properties prediction device of Fig. 2 disclosure embodiment high temperature alloy.
In figure: 1, the first determining module；2, the second determining module；3, module is established.
Specific embodiment
Example embodiment is described more fully with reference to the drawings.However, example embodiment can be with a variety of shapes
Formula is implemented, and is not understood as limited to example set forth herein；On the contrary, these embodiments are provided so that the disclosure will comprehensively and
Completely, and by the design of example embodiment comprehensively it is communicated to those skilled in the art.Described feature, structure or characteristic
It can be incorporated in any suitable manner in one or more embodiments.In the following description, it provides many specific thin
Section fully understands embodiment of the present disclosure to provide.It will be appreciated, however, by one skilled in the art that this can be practiced
Disclosed technical solution, or can be using other method, apparatus etc. without one or more in the specific detail.
In other cases, known solution is not shown in detail or describes to avoid fuzzy all aspects of this disclosure.It is identical in figure
Appended drawing reference indicates same or similar structure, thus the detailed description that will omit them.
Term "one", " one ", "the" to indicate there are one or more elements/component part/etc.；Term " packet
Include ", " having " and " being equipped with " be to indicate the open meaning being included and refer to element/composition in addition to listing
Partially/wait except also may be present other element/component part/etc..
Disclosure embodiment provides a kind of mechanical property prediction method of high temperature alloy.As shown in Figure 1, the high temperature alloy
Mechanical property prediction method may include step S100 and step S110, in which:
Step S100, buried in oblivion based on dislocation movement by slip, dislocation climb, dislocation multiplication and dislocation, settling time and high temperature close
The corresponding relationship of the plastic flow amount of slip system in gold.
Step S110, according to corresponding relationship, plastic flow of each slip system within the object time in high temperature alloy is determined
Amount.
Step S120, plastic strain of the high temperature alloy within the object time is determined according to multiple plastic flow amounts.
The mechanical property prediction method of the high temperature alloy of disclosure embodiment, during prediction, without being tested,
And since the corresponding relationship is to bury in oblivion foundation based on dislocation movement by slip, dislocation climb, dislocation multiplication and dislocation, to improve institute
The accuracy of determining plastic flow amount, and then improve the accuracy of identified plastic strain.
Each step of the mechanical property prediction method of the high temperature alloy of disclosure embodiment is described in detail below:
In the step s 100, buried in oblivion based on dislocation movement by slip, dislocation climb, dislocation multiplication and dislocation, settling time and height
The corresponding relationship of the plastic flow amount of slip system in temperature alloy.
The high temperature alloy can refer to using iron, nickel, cobalt as base, can at a high temperature of 600 DEG C or more long-term work an eka-gold
Belong to material, can be used for aero-engine.For example, which can be Ni3Al based alloy.Step S100 can be with
Include: to be buried in oblivion based on dislocation movement by slip, dislocation climb, dislocation multiplication and dislocation, establish equation group, equation group are as follows:
In above-mentioned equation group, m is the positive integer more than or equal to 1, i.e. m can be 1,2,3 etc.,It is m-th
The positive edge dislocation density of slip system,For the negative edge dislocation density of m-th of slip system,It is sliding for m-th
The plastic flow amount in system is moved,For space coordinate, t is time, bmFor the Bai Shi vector of m-th of slip system, hmIt is sliding for m-th
Move the mould of the Bai Shi vector of system, nmFor the slide surface normal vector of m-th of slip system, wmFor the slide surface normal vector of m-th of slip system
Mould,For the sliding velocity of the positive edge dislocation of m-th of slip system,For the negative of m-th slip system
The sliding velocity of edge dislocation,For the speed of climbing of the positive edge dislocation of m-th of slip system,For m
The speed of climbing of the negative edge dislocation of a slip system, y are positive edge dislocation in annihilation process and negative edge dislocation in direction of climbing
Characteristic distance, this feature distance y can be 5-50nm, η be proliferation strength factor, proliferation strength factor η can be 0.1-
10, τgTo slide effective stress,Indicate Nabla operator.
Above-mentioned dislocation density, i.e., every cubic metre of dislocation line length can be used to indicate that the quantity of dislocation, and then can be with
The movement of dislocation is described by the Evolution Equation of dislocation density.The dislocation movement by slip be dislocation line in slide surface along glide direction
Whole translation.The dislocation climb is dislocation line along the direction translational perpendicular to slide surface.Therefore, dislocation movement by slip and dislocation climb exist
It can be indicated with transport item in above-mentioned equation group, i.e. the direction gradient of atomic flux.Specifically, dislocation movement by slip isOrDislocation climb isOrDislocation multiplication shows as dislocation density
Direct increase, dislocation buries in oblivion the direct reduction for showing as dislocation density.Therefore, dislocation multiplication and dislocation are buried in oblivion in above-mentioned side
It can be indicated with source item in journey group, positive source item indicates proliferation, and negative source item expression is buried in oblivion.Specifically, position in above-mentioned equation group
Mistake bury in oblivion for
OrDislocation multiplication is
In addition, above-mentionedCan with it is above-mentionedIt is equal, it is certainly, above-mentionedIt can also
With with it is above-mentionedIt is equal.It indicates to pull coefficient with B, it shouldWithCan it be equal to
With τcExpression is climbed effective stress, shouldWithCan it be equal toThe sliding effective stress is climbed with this
Moving effective stress can be obtained by long-range stress.Specifically, long-range stress is indicated with σ, sliding effective stress τgIt can be with
It is determined by the first preset formula, which can be with are as follows:
The effective stress τ that climbscIt can be determined by the second preset formula, which can be with are as follows:
In the first preset formula and the second preset formula: indicate double dot product operation,Indicate Kronecker product operation.
In addition, above-mentioned long-range stress σ can be obtained by solving the equilibrium equation of power.Wherein, the equilibrium equation of the power can be with are as follows:
In step s 110, according to corresponding relationship, plasticity of each slip system within the object time in high temperature alloy is determined
Slippage.
In the case where slip system and long-range stress σ determine, the t in above-mentioned equation group is set to be equal to the object time, and pass through
Equation group is solved to determine plastic flow amount of each slip system within the object time in high temperature alloy.
In the step s 120, plastic strain of the high temperature alloy within the object time is determined according to multiple plastic flow amounts.
For example, disclosure embodiment can be based on third preset formula, and be determined according to multiple plastic flow amounts
Plastic strain field of the high temperature alloy within the object time.The third preset formula can be with are as follows:
Wherein, εplFor plastic strain field.By to plastic strain field εpIMean value is done, available high temperature alloy is in target
Plastic strain < ε in timepl〉。
In addition, making mean value to long-range stress σ to get macro-stress < σ >.Pass through identified plastic strain < εpl> and macroscopic view
Stress < σ >, can obtain the mechanical curves of high temperature alloy.
The disclosure can be combined with the kinetic model of connective tissue, mechanical property is better anticipated.High temperature alloy
Tissue is by different phase compositions, the differentiation criterion of phase are as follows: when adjacent two regional balances ingredient is different or structure difference or both all
Difference then adheres to two different phases separately.It therefore, can be with continuously at branchWith continuous S order parameter fieldIt retouches
State connective tissue.Wherein, different S order parameters indicates different structures.According to the law of thermodynamics, system is spontaneously to free energy
Direction evolution, the disclosure can describe the free energy of connective tissue by the 4th preset formula, and the 4th preset formula can be with are as follows:
In the 4th preset formula, fchemFor chemical energy, felFor it is elastic can, and elasticity can felThe 5th default public affairs can be passed through
Formula determines that the 5th preset formula can be with are as follows:
fel=0.5 σ: εel；
In the 5th preset formula, σ is above-mentioned long-range stress, εelFor elastic strain, σ and εelMeet the 6th default public affairs
Formula, the 6th preset formula can be with are as follows:
σ=λ: εel；
In the 6th preset formula, λ is elasticity tensor.Overall strain is indicated with ε, with εinelIndicate inelastic strain, then εel
Equal to (ε-εinel).With εmisIndicate high temperature alloy lattice misfit caused by inelastic deformation, numerical value can by organization decided,
With εplIndicate inelastic deformation, i.e. plastic deformation caused by plastic factors, then εinelEqual to (εmis+εpl)。
In addition, above-mentioned at branchDifferentiation be substantially atom diffusion, the 7th preset formula can be passed through
It is described, the 7th preset formula can be with are as follows:
Above-mentioned S order parameterDifferentiation be essentially atom local order-disorder transformation, can be default with the 8th
Formula is described, and the 8th preset formula can be with are as follows:
Wherein, the L in the M and the 8th preset formula in the 7th preset formula is Interface Motion coefficient, can be by material
Ingredient and temperature determine.
The interaction of dislocation and tissue is the essential mechanism for determining mechanical property.Dislocation motion passes through the 4th preset formula
In elasticity can influence microstructure evolution, once and microstructure evolution, above-mentioned εmisJust change therewith, so that long-range stress σ is influenced,
And then dislocation motion is impacted by sliding effective stress and effective stress of climbing.Pass through quantitative description dislocation and tissue
It influences each other, the mechanical property of high temperature alloy can be more accurately predicted.
This example embodiment also provides a kind of mechanical properties prediction device of high temperature alloy.As shown in Fig. 2, the high temperature closes
The mechanical properties prediction device of gold may include establishing module 3, the first determining module 1 and the second determining module 2, in which:
This establishes module 3 for burying in oblivion based on dislocation movement by slip, dislocation climb, dislocation multiplication and dislocation, settling time and
The corresponding relationship of the plastic flow amount of slip system in high temperature alloy.First determining module 1 is used to be determined high according to corresponding relationship
Plastic flow amount of each slip system within the object time in temperature alloy.Second determining module 2 is according to multiple plastic flow amounts
Determine plastic strain of the high temperature alloy within the object time.
The mechanical properties prediction device of the high temperature alloy of disclosure embodiment, during prediction, without being tested,
And since the corresponding relationship is to bury in oblivion foundation based on dislocation movement by slip, dislocation climb, dislocation multiplication and dislocation, to improve institute
The accuracy of determining plastic flow amount, and then improve the accuracy of identified plastic strain.
Each section of the mechanical properties prediction device of the high temperature alloy of disclosure embodiment is described in detail below:
This establishes module for burying in oblivion based on dislocation movement by slip, dislocation climb, dislocation multiplication and dislocation, establishes equation group,
Equation group can be with are as follows:
Wherein, m is the positive integer more than or equal to 1,For the positive edge dislocation density of m-th of slip system,For the negative edge dislocation density of m-th of slip system,For the plastic flow amount in m-th of slip system,For sky
Between coordinate, t is time, bmFor the Bai Shi vector of m-th of slip system, hmFor the mould of the Bai Shi vector of m-th of slip system, nmFor m
The slide surface normal vector of a slip system, wmFor the mould of the slide surface normal vector of m-th of slip system,It is slid for m-th
The sliding velocity of the positive edge dislocation of system,For the sliding velocity of the negative edge dislocation of m-th of slip system,For the speed of climbing of the positive edge dislocation of m-th of slip system,For the negative blade type position of m-th of slip system
Wrong speed of climbing, y are that in the characteristic distance in direction of climbing, η is proliferation for positive edge dislocation and negative edge dislocation in annihilation process
Strength factor, τgTo slide effective stress.
Second determining module includes that strain field determines submodule and strains determining submodule, in which:
The strain field determines submodule for determining that high temperature closes based on third preset formula and according to multiple plastic flow amounts
Plastic strain field of the gold within the object time, the third preset formula can be with are as follows:
Wherein, εplFor the plastic strain field；
The strain determines submodule for doing mean value to plastic strain field, to determine modeling of the high temperature alloy within the object time
Property strain.
In addition, although describing each step of method in the disclosure in the accompanying drawings with particular order, this does not really want
These steps must be executed in this particular order by asking or implying, or having to carry out step shown in whole could realize
Desired result.Additional or alternative, it is convenient to omit multiple steps are merged into a step and executed by certain steps, and/
Or a step is decomposed into execution of multiple steps etc..
Those skilled in the art will readily occur to other embodiments of the disclosure after considering specification and practice.This
Application is intended to cover any variations, uses, or adaptations of the disclosure, these variations, uses, or adaptations are abided by
Follow the general principle of the disclosure and including common knowledge or conventional techniques in the art.Description and embodiments
It is considered only as illustratively, the true scope and spirit of the disclosure are pointed out by the attached claims.
Claims (10)
1. a kind of mechanical property prediction method of high temperature alloy characterized by comprising
Buried in oblivion based on dislocation movement by slip, dislocation climb, dislocation multiplication and dislocation, slip system in settling time and the high temperature alloy
Plastic flow amount corresponding relationship；
According to the corresponding relationship, plastic flow amount of each slip system within the object time in the high temperature alloy is determined；
Plastic strain of the high temperature alloy within the object time is determined according to multiple plastic flow amounts.
2. mechanical property prediction method according to claim 1, which is characterized in that be based on dislocation movement by slip, dislocation climb, position
Mistake proliferation and dislocation are buried in oblivion, and settling time and the corresponding relationship of the plastic flow amount of slip system in the high temperature alloy include:
Buried in oblivion based on dislocation movement by slip, dislocation climb, dislocation multiplication and dislocation, establish equation group, the equation group are as follows:
Wherein, m is the positive integer more than or equal to 1,For the positive edge dislocation density of m-th of slip system,For
The negative edge dislocation density of m-th of slip system,For the plastic flow amount in m-th of slip system,For space coordinate, t
For time, bmFor the Bai Shi vector of m-th of slip system, hmFor the mould of the Bai Shi vector of m-th of slip system, nmFor m-th of slip system
Slide surface normal vector, wmFor the mould of the slide surface normal vector of m-th of slip system,For the positive sword of m-th of slip system
The sliding velocity of type dislocation,For the sliding velocity of the negative edge dislocation of m-th of slip system,For m
The speed of climbing of the positive edge dislocation of a slip system,For the speed of climbing of the negative edge dislocation of m-th of slip system, y
It is positive edge dislocation in annihilation process and negative edge dislocation in the characteristic distance in direction of climbing, η is proliferation strength factor, τgFor cunning
Move effective stress.
3. mechanical property prediction method according to claim 2, which is characterized in that describedWith
It is equal toWherein, B is to pull coefficient.
4. mechanical property prediction method according to claim 3, which is characterized in that the τgIt is true by the first preset formula
It is fixed, first preset formula are as follows:
Wherein, σ is long-range stress: indicate double dot product operation.
5. mechanical property prediction method according to claim 2, which is characterized in that describedWith
It is equal toWherein, B is to pull coefficient, τcFor effective stress of climbing.
6. mechanical property prediction method according to claim 5, which is characterized in that the τcIt is true by the second preset formula
It is fixed, second preset formula are as follows:
Wherein, σ is long-range stress: indicate double dot product operation.
7. mechanical property prediction method according to claim 2, which is characterized in that true according to multiple plastic flow amounts
Determining plastic strain of the high temperature alloy within the object time includes:
Determine the high temperature alloy within the object time based on third preset formula, and according to multiple plastic flow amounts
Plastic strain field, the third preset formula are as follows:
Wherein, εplFor the plastic strain field；
Mean value is done to the plastic strain field, with plastic strain of the determination high temperature alloy within the object time.
8. a kind of mechanical properties prediction device of high temperature alloy characterized by comprising
Module is established, for being buried in oblivion based on dislocation movement by slip, dislocation climb, dislocation multiplication and dislocation, settling time and the height
The corresponding relationship of the plastic flow amount of slip system in temperature alloy；
First determining module, for determining that each slip system is in the object time in the high temperature alloy according to the corresponding relationship
Interior plastic flow amount；
Second determining module determines plasticity of the high temperature alloy within the object time according to multiple plastic flow amounts
Strain.
9. mechanical properties prediction device according to claim 8, which is characterized in that the module of establishing is for based on dislocation
Sliding, dislocation climb, dislocation multiplication and dislocation are buried in oblivion, and equation group, the equation group are established are as follows:
Wherein, m is the positive integer more than or equal to 1,For the positive edge dislocation density of m-th of slip system,For
The negative edge dislocation density of m-th of slip system,For the plastic flow amount in m-th of slip system,For space coordinate, t
For time, bmFor the Bai Shi vector of m-th of slip system, hmFor the mould of the Bai Shi vector of m-th of slip system, nmFor m-th of slip system
Slide surface normal vector, wmFor the mould of the slide surface normal vector of m-th of slip system,For the positive sword of m-th of slip system
The sliding velocity of type dislocation,For the sliding velocity of the negative edge dislocation of m-th of slip system,For m
The speed of climbing of the positive edge dislocation of a slip system,For the speed of climbing of the negative edge dislocation of m-th of slip system, y
It is positive edge dislocation in annihilation process and negative edge dislocation in the characteristic distance in direction of climbing, η is proliferation strength factor, τgFor cunning
Move effective stress.
10. mechanical properties prediction device according to claim 8, which is characterized in that second determining module includes:
Strain field determines submodule, for determining the high temperature based on third preset formula and according to multiple plastic flow amounts
Plastic strain field of the alloy within the object time, the third preset formula are as follows:
Wherein, εplFor the plastic strain field；
It strains and determines submodule, for doing mean value to the plastic strain field, with the determination high temperature alloy in the target
Interior plastic strain.
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