CN110376054A - A kind of material mechanical performance Unified Characterization method based on chemical reaction - Google Patents
A kind of material mechanical performance Unified Characterization method based on chemical reaction Download PDFInfo
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Abstract
The material mechanical performance Unified Characterization method based on chemical reaction that the invention discloses a kind of, belongs to material mechanical performance testing technical field.Steps are as follows for the realization of this method: measuring the dimensional parameters of sample first；Then power-displacement-time curve data of sample are obtained using the test of quiet dynamic comprehensive, secondly the input test procedure parameter in the elastic properties of materials constitutive model based on chemical reaction, power-displacement-time curve data are imported into the elastic properties of materials constitutive model based on chemical reaction again, finally by the parameters in optimization algorithm automatic Fitting constitutive model.The present invention passes through a unified model explanation a variety of static and dynamic characteristics of mechanics of material and structure, it can solve in engineer application the problem of the inaccuracy and disengaging engineering reality when a variety of mechanical properties of complicated nonmetal structure cause to test and predict respectively because being interleaved together, application range of the nonmetallic materials in engineering has been widened, and has established technical foundation for the application of mechanics Meta Materials technology.
Description
Technical field
The invention belongs to material mechanical performance testing technical fields, and in particular to a kind of mechanics of materials based on chemical reaction
Performance Unified Characterization method.
Background technique
Mechanical property is one of the principal element considered when material application.External, China by long-term study and pursuit
Scientific and technological level run up to currently, also welcome the new era of technological innovation and development, various innovative products continue to bring out.And with
The deep application of new world technologies such as design of Simulation technology, computer technology, 3D printing technique with merge, go out in innovative product
Existing labyrinth is more and more, and the material category of application is also more and more abundant.When used material is not simple line bullet
Property or when super-elasticity, due to the comprehensive function of a variety of nonlinear mechanics features such as creep, relaxation, Mullins effect, structure it is dynamic
State or long-term work state are difficult to refer to by the independent performance such as traditional output ratio of Q-switching to free running, creep index, damping ratio, set deformation volume
Mark is predicted that this causes difficulty to the engineer application of material, and especially in Meta Materials vibration isolator, Meta Materials damper surpasses
Application in material impact safeguard structure.
Summary of the invention
In view of this, the present invention provides a kind of material mechanical performance Unified Characterization method based on chemical reaction, passes through
It establishes the elastic properties of materials model based on chemical reaction and carries out reverse simulation, obtain the parameter group of characterization material comprehensive mechanical property,
For predicting to solve using mechanical properties such as complex structural member Static stiffness, dynamic stiffness, creep, dampings made of high molecular material
When a variety of mechanical properties of complicated nonmetal structure cause to test and predict respectively because being interleaved together in engineer application
Inaccuracy and the problem for being detached from engineering reality.
A kind of material mechanical performance Unified Characterization method based on chemical reaction, steps are as follows for the realization of this method:
Step 1: the dimensional parameters of sample are measured；
Step 2: utilizing the test of quiet dynamic comprehensive to obtain power-displacement-time curve data of sample, and test process is to add
Load → guarantor's load → dynamic circulation load → unloading or other Self-definition process；
Step 3: the input test procedure parameter in the elastic properties of materials constitutive model based on chemical reaction: starting point, load speed
Rate, protects load time, dynamically load frequency and amplitude at terminal；
Step 4: power-displacement-time curve data are imported into the elastic properties of materials constitutive model based on chemical reaction；
Step 5: pass through the parameters in optimization algorithm automatic Fitting constitutive model.
Further, the elastic properties of materials constitutive model based on chemical reaction is defined as:
E(t)=E1+Σ(Et1+Et2+…+Eti+…+Etn) (formula 1)
Wherein:
E(t)The elasticity modulus shown for t moment material；
E1It is linear elasticity or super-elasticity for the Elastic Term that material does not change over time；
Eti(i=1,2 ..., n) be i-th kind of chemical reaction mechanism relevant to strain instantaneous elasticity item, formula 2 for for
It can express a kind of E of conventional croop property characterizationtiExpression way:
Eti=T(i)×c(i)(formula 2)
Wherein:
T(i)For elastic constant, unit is consistent with elasticity modulus；
c(i)For the corresponding related substances of i-th kind of instantaneous elasticity item or the residual level item of process, such as strain, certain chemistry
The amount that the changing of the relative positions of chain has not occurred corresponds to the concentration of reactant in chemical reaction；
Still by taking creep as an example, c(i)The rate of changing may be expressed as: at any time
dc(i)/ dt=cR(i)×e-N(i)(formula 3)
Wherein:
R(i)To chemically react series；
E is natural constant；
N(i)For the corresponding reactivity item of i-th kind of instantaneous elasticity item, N(i)It is constant or linear term relevant to strain；
The dynamic changing process of the elasticity modulus of material at any time can be used by being obtained with the integral of above-mentioned model at any time
The differential equation indicates are as follows:
Dx/dt=S/E(t)(formula 4)
Wherein x is strain, and S is stress.
Further, the material mechanical performance includes elasticity, viscosity, damping, creep, Mullins effect and relaxation effect
It answers.
Further, dimensional parameters of the step 1 using the tools such as ruler or vernier caliper measurement sample, size ginseng
Number includes specimen length, width, diameter or height.
Further, pass through the process of the parameters in optimization algorithm automatic Fitting constitutive model in the step 5 such as
Under:
(1) it spreads a little, it is assumed that multiple groups material constitutive parameter；
(2) positive to deduce: to be solved according to this structure of hypothesis according to test process with the reaction rate of every reaction mechanism
The numerical solution of the ODE of (Ah Lei Ni Wuzi formula) obtains the rate that changes with time of sample strain, to obtain sample
Power-displacement-time curve of product theory；
(3) it is compared with trial curve, calculates the deviation currently organized；
(4) assumption value is modified according to deviation；
(5) above process is executed using optimization algorithm iteration, it is bent obtains the constitutive parameter that deviation is minimum, robustness is best
Line.
Further, the optimization algorithm uses gene optimization algorithm or deep learning algorithm.
The utility model has the advantages that
1, the present invention by defined in material constitutive the instantaneous elasticity item of strain responses mechanism, levels of reagent item and
The relationship for answering mutative scale to establish between experiment of machanics response and the intrinsic elasticity modulus of material of residual reaction items.Firstly, measurement
Then the dimensional parameters of sample are obtained power-displacement-time curve of sample by quiet dynamic test, secondly input test process
Parameter: starting point, terminal, protects load time, dynamically load frequency, amplitude etc. at loading speed, then again that power-displacement versus time is bent
Line imports program, can by optimization algorithm, automatic Fitting or above-mentioned structure in parameters.
2, the material characterization method of the invention based on chemical reaction can be realized in situ, multiple dimensioned and part characterization material
Mechanical property, performance include but is not limited to: Static stiffness, dynamic stiffness, intrinsic frequency, damping factor, creep etc., while can complete
The static state and dynamic property of structural member with nonlinear mechanics performance materials are estimated, such as Meta Materials vibration isolator, Meta Materials vibration damping
Device, Meta Materials surge guard structure etc..Application range of the nonmetallic materials in engineering has been widened, and has been mechanics Meta Materials technology
Application establish technical foundation.
Detailed description of the invention
Fig. 1 is that material mechanical performance Unified Characterization method of the invention executes step schematic diagram；
Fig. 2 is constitutive parameter fit procedure schematic diagram of the invention；
Fig. 3 is load-guarantor's load-dynamically load stress-strain tester curve of standard of embodiment of the present invention cylinder sample
Fig. 4 is the cylinder sample stress-strain diagram that fitting result of embodiment of the present invention forward direction is deduced
Fig. 5 is that forward direction of the embodiment of the present invention deduces stress-strain diagram partial enlarged view.
Specific embodiment
The present invention will now be described in detail with reference to the accompanying drawings and examples.
As shown in Fig. 1, the material mechanical performance Unified Characterization method based on chemical reaction that the present invention provides a kind of, should
Steps are as follows for the realization of method:
Step 1: the dimensional parameters of sample are measured；
Step 2: utilizing the test of quiet dynamic comprehensive to obtain power-displacement-time curve data of sample, and test process is to add
Load → guarantor's load → dynamic circulation load → unloading or other Self-definition process；
Step 3: the input test procedure parameter in the elastic properties of materials constitutive model based on chemical reaction: starting point, load speed
Rate, protects load time, dynamically load frequency and amplitude at terminal；
Step 4: power-displacement-time curve data are imported into the elastic properties of materials constitutive model based on chemical reaction；
Step 5: pass through the parameters in optimization algorithm automatic Fitting constitutive model.
Wherein, the elastic properties of materials constitutive model based on chemical reaction is defined as:
E(t)=E1+Σ(Et1+Et2+…+Eti+…+Etn) (formula 1)
Wherein:
E(t)The elasticity modulus shown for t moment material；
E1It is linear elasticity or super-elasticity for the Elastic Term that material does not change over time；
Eti(i=1,2 ..., n) be i-th kind of chemical reaction mechanism relevant to strain instantaneous elasticity item, formula 2 for for
It can express a kind of E of conventional croop property characterizationtiExpression way:
Eti=T(i)×c(i)(formula 2)
Wherein:
T(i)For elastic constant, unit is consistent with elasticity modulus；
c(i)For the corresponding related substances of i-th kind of instantaneous elasticity item or the residual level item of process, such as strain, certain chemistry
The amount that the changing of the relative positions of chain has not occurred corresponds to the concentration of reactant in chemical reaction；
Still by taking creep as an example, c(i)The rate of changing may be expressed as: at any time
dc(i)/ dt=cR(i)×e-N(i)(formula 3)
Wherein:
R(i)To chemically react series；
E is natural constant；
N(i)For the corresponding reactivity item of i-th kind of instantaneous elasticity item, N(i)It is constant or linear term relevant to strain；
The dynamic changing process of the elasticity modulus of material at any time can be used by being obtained with the integral of above-mentioned model at any time
The differential equation indicates are as follows:
Dx/dt=S/E(t)(formula 4)
Wherein x is strain, and S is stress.
It should be noted that the chemical reaction process that the present invention is stated is to borrow Chemical Kinetics concept and its behind
Thermodynamics and Principle of Statistics, be a kind of macroscopical description of the variation to elastic property and time correlation, do not represent in material
Corresponding chemical reaction centainly has occurred when stress in microprocess, does not also represent in the material and certainly exists certain
The only substance of corresponding wherein a certain mechanical property.
As shown in Fig. 2, pass through the process of the parameters in optimization algorithm automatic Fitting constitutive model in step 5 such as
Under:
(1) it spreads a little, it is assumed that multiple groups material constitutive parameter；
(2) positive to deduce: to be solved according to this structure of hypothesis according to test process with the reaction rate of every reaction mechanism
The numerical solution of the ODE of (Ah Lei Ni Wuzi formula) obtains the rate that changes with time of sample strain, to obtain sample
Power-displacement-time curve of product theory；
(3) it is compared with trial curve, calculates the deviation currently organized；
(4) assumption value is modified according to deviation；
(5) above process is executed using optimization algorithm iteration, it is bent obtains the constitutive parameter that deviation is minimum, robustness is best
Line.
Embodiment:
Certain material standard cylinder sample diameter 21mm, high 25mm, the rate compression on mechanics machine first with 1mm/min add
It is loaded onto 3mm, then load of trying hard to keep 6 seconds is loaded 50 times with the frequency cycle of the amplitude of 250N, 0.5Hz, obtains as shown in Figure 3 answer
Stress-strain tester curve.
It is that the material establishes constitutive model using the elastic properties of materials constitutive model of the invention based on chemical reaction, in model
In consider the Elastic Term that material does not change over time, define two chemical reaction items changed over time.It adopts in a program
After optimizing fitting with genetic algorithm, the parameter group performance for obtaining characterization material is as follows:
The Elastic Term not changed over time: E1=110MPa；
Chemically react item 1:Et1=20MPa；N(1)=0.5；R(1)=1；
Chemically react item 2:Et2=-50MPa；N(2)=1；T(2)=1；
By carrying out positive deduction to fitting parameter, force-displacement curve as shown in Figure 4 and its office shown in fig. 5 are obtained
Portion's enlarged drawing, it is high with trial curve degree of agreement, the various properties that material is always shown in test process have really been reflected,
Power-position when nonlinear elasticity when such as static loading, damping and dynamically load when protecting creep properties when carrying, dynamically load
Move the slow drift of ellipse center location at any time.
In conclusion the above is merely preferred embodiments of the present invention, being not intended to limit the scope of the present invention.
All within the spirits and principles of the present invention, any modification, equivalent replacement, improvement and so on should be included in of the invention
Within protection scope.
Claims (6)
1. a kind of material mechanical performance Unified Characterization method based on chemical reaction, which is characterized in that the realization step of this method
It is as follows:
Step 1: the dimensional parameters of sample are measured；
Step 2: using quiet dynamic comprehensive test obtain sample power-displacement-time curve data, test process be load →
Protect load → dynamic circulation load → unloading or other Self-definition process；
Step 3: in the elastic properties of materials constitutive model based on chemical reaction input test procedure parameter: starting point, loading speed,
Terminal protects load time, dynamically load frequency and amplitude；
Step 4: power-displacement-time curve data are imported into the elastic properties of materials constitutive model based on chemical reaction；
Step 5: pass through the parameters in optimization algorithm automatic Fitting constitutive model.
2. the material mechanical performance Unified Characterization method based on chemical reaction as described in claim 1, which is characterized in that described
Elastic properties of materials constitutive model based on chemical reaction is defined as:
E(t)=E1+Σ(Et1+Et2+…+Eti+…+Etn) (formula 1)
Wherein:
E(t)The elasticity modulus shown for t moment material；
E1It is linear elasticity or super-elasticity for the Elastic Term that material does not change over time；
Eti(i=1,2 ..., n) is the instantaneous elasticity item of i-th kind of chemical reaction mechanism relevant to strain, and formula 2 is for can table
Reveal a kind of E of conventional croop property characterizationtiExpression way:
Eti=T(i)×c(i)(formula 2)
Wherein:
T(i)For elastic constant, unit is consistent with elasticity modulus；
c(i)For the corresponding related substances of i-th kind of instantaneous elasticity item or the residual level item of process, such as strain, certain chemical chain
The amount that the changing of the relative positions has not occurred corresponds to the concentration of reactant in chemical reaction；
Still by taking creep as an example, c(i)The rate of changing may be expressed as: at any time
dc(i)/ dt=cR(i)×e-N(i)(formula 3)
Wherein:
R(i)To chemically react series；
E is natural constant；
N(i)For the corresponding reactivity item of i-th kind of instantaneous elasticity item, N(i)It is constant or linear term relevant to strain；
The dynamic changing process of the elasticity modulus of material at any time can use differential by being obtained with the integral of above-mentioned model at any time
Equation indicates are as follows:
Dx/dt=S/E(t)(formula 4)
Wherein x is strain, and S is stress.
3. the material mechanical performance Unified Characterization method based on chemical reaction as claimed in claim 1 or 2, which is characterized in that
The material mechanical performance includes elasticity, viscosity, damping, creep, Mullins effect and relaxation effect.
4. the material mechanical performance Unified Characterization method based on chemical reaction as claimed in claim 3, which is characterized in that described
For step 1 using the dimensional parameters of the tools measurement sample such as ruler or vernier caliper, dimensional parameters include specimen length, width, straight
Diameter or height.
5. the material mechanical performance Unified Characterization method based on chemical reaction as claimed in claim 4, which is characterized in that described
Process in step 5 by the parameters in optimization algorithm automatic Fitting constitutive model is as follows:
(1) it spreads a little, it is assumed that multiple groups material constitutive parameter；
(2) positive to deduce: to be solved according to this structure of hypothesis according to test process with reaction rate (Ah Lei of every reaction mechanism
Ni Wuzi formula) ODE numerical solution, obtain sample strain the rate that changes with time, thus obtain sample theory
Power-displacement-time curve；
(3) it is compared with trial curve, calculates the deviation currently organized；
(4) assumption value is modified according to deviation；
(5) above process is executed using optimization algorithm iteration, obtains the constitutive parameter curve that deviation is minimum, robustness is best.
6. the material mechanical performance Unified Characterization method based on chemical reaction as claimed in claim 5, which is characterized in that described
Optimization algorithm uses gene optimization algorithm or deep learning algorithm.
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| CN111159932A (en) * | 2019-12-10 | 2020-05-15 | 中国船舶重工集团公司第七一九研究所 | Optimized inversion method for Mullins effect parameters |
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