CN106525612B - The construction method of polycarbonate sand stone concrete based on stretching and compression experiment - Google Patents
The construction method of polycarbonate sand stone concrete based on stretching and compression experiment Download PDFInfo
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
- G01N3/00—Investigating strength properties of solid materials by application of mechanical stress
- G01N3/32—Investigating strength properties of solid materials by application of mechanical stress by applying repeated or pulsating forces
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- G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
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- G01N2203/00—Investigating strength properties of solid materials by application of mechanical stress
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- G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
- G01N2203/00—Investigating strength properties of solid materials by application of mechanical stress
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Abstract
The invention discloses a kind of construction methods of polycarbonate sand stone concrete based on stretching and compression experiment, and the construction method for solving existing polycarbonate constitutive model constructs the technical problem of constitutive model order of accuarcy difference.Technical solution is by the linear elasticity stage of polycarbonate, yielding stage, the description in strain softening stage and strain hardening stage, carry out a large amount of different strain rate, at a temperature of tensile and compression test and add unloading test, relevant parameter of its material model under ture stress-strain has been determined, particularly by add unloading test by the internal injury of material to mechanical property influence write-in constitutive model in；Reasonable optimization has been carried out to the parameter in model, ensure that the order of accuarcy of constitutive model while reducing number of parameters, meanwhile, also achieve the effective unified combination for stretching constitutive model and compressing constitutive model.
Description
Technical field
It is the present invention relates to a kind of construction method of polycarbonate constitutive model, in particular to a kind of real based on stretching and compressing
The construction method for the polycarbonate sand stone concrete tested.
Background technique
Polycarbonate (polycarbonate, PC) is used as a kind of typical thermoplasticity amorphous polymer, good resistance to its
Impact, high specific stiffness and specific strength and light transmission are widely used in the neck such as aerospace, automobile high-speed rail and building
Domain.Due to including high temperature difference, high-speed impact, big pressure in the Service Environment of the polycarbonate articles such as aerospace and high-speed rail
The strong poor service condition for waiting harshness, has very high requirement to the mechanical property of polycarbonate, therefore construct its constitutive model,
Its mechanical mechanism is preferably grasped, it can be not only played in the effect of every field, will also be replaced by numerical simulation
The manufacturing cost of industry is greatly reduced in part test, brings more benefits.
Polycarbonate has very strong dependence to strain rate and temperature, meanwhile, discovery is easy by test and document
Polycarbonate shows different mechanical properties, yield strength, strain softening and hardening are all during stretching and compression
There is a degree of difference.In order to comprehensively characterize the mechanical property of polycarbonate, it is necessary to which building is based on stretching and compression examination
The sand stone concrete tested.Currently, to the research of polycarbonate sand stone concrete, there are mainly two types of both at home and abroad:
" Kan Cao, Yang Wang, the Yu Wang.Experimental investigation and of document 1
modeling of the tension behavior of polycarbonate with temperature effects
From low to high strain rates, International Journal of Solids and Structures,
2014, Vol.51 (13) in p2539-2548 ", by the tension test under different temperatures, strain rate, are established based on its work
The constitutive model of journey load-deformation curve.But since engineering stress-strain curve can not be true in reaction material deformation process
Real performance, therefore seem insufficient when characterizing the strain hardening phenomenon of polycarbonate.On the other hand, polycarbonate is being stretched and is being pressed
The asymmetry showed in compression process, so that the constitutive model that building includes different stress forms is particularly important, it should
Method is not directed to the mechanical property of compression, therefore accuracy is insufficient in the loading process of characterization polycarbonate.
" Sai S.Sarva, the Mary C.Boyce.Mechanics of Polycarbonate during of document 2
High-rate Tension.Journal of mechanics of materials and structures, 2007, Vol.2
(10), p1853-1880 " has carried out a series of Compression and Expansion test, and constructing polycarbonate includes linear elasticity, surrender, strain
The constitutive model in softening and strain hardening stage.But it is related to numerous statistical average amounts in modeling process, is trying
Test in determining parametric procedure more complicated, and there is no consider material while explaining essence with Continuum Mechanics
Internal injury；Meanwhile the model has used affine network theory to carry out the stretching, extension of model molecule network, is simulating true strain process
Entanglement and solution between middle polymer material segment twine phenomenon, and there are certain difficulties.
Be difficult to the exact mechanism of accurate description polycarbonate deformation in the above existing constitutive model, thus can not efficiently,
Accurately characterize its mechanical property.
Summary of the invention
Construction method building constitutive model order of accuarcy in order to overcome the shortcomings of existing polycarbonate constitutive model is poor, this
Invention provides a kind of construction method of polycarbonate sand stone concrete based on stretching and compression experiment.This method passes through poly- carbon
The linear elasticity stage of acid esters, yielding stage, the description in strain softening stage and strain hardening stage carry out a large amount of difference and answer
Variability, at a temperature of tensile and compression test and add unloading test, it is determined that its material model is under ture stress-strain
Relevant parameter, particularly by add unloading test by the internal injury of material to mechanical property influence write-in constitutive model in；It is right
Parameter in model has carried out reasonable optimization, ensure that the order of accuarcy of constitutive model while reducing number of parameters, meanwhile,
Also achieve the effective unified combination for stretching constitutive model and compressing constitutive model.
A kind of the technical solution adopted by the present invention to solve the technical problems: polycarbonate based on stretching and compression experiment
The construction method of sand stone concrete, its main feature is that the following steps are included:
(a) by polycarbonate carry out stretch or compression test obtain its true stress and strain curve, according to its elasticity
Stage calculates elastic modulus E:
In formula, E is polycarbonate elastomer modulus, and σ is the resulting true stress of test, and ε is logarithmic strain.
(b) according to the tensile and compression test data that are carried out to polycarbonate, yield stress and temperature is obtained and is answered
Non-linear relation between variability, is indicated by following formula:
In formula, σyIt is the yield stress of polycarbonate,It is the equivalent strain rate during test, ThIt is homologous temperature, K,
Cr,Ct, m is then correlation test parameter.
(c) material internal damage status is determined according to unloading test is added accordingly.And damage and modeling are obtained by data
Property strain between relationship:
Wherein, ω is the damage variable of polycarbonate,For equivalent plastic strain, CωIt is test relevant parameter with x.
(d) test strain softening and strain hardening data are analyzed, arrangement can obtain true stress and damage variable, bend
The relationship taken between stress and equivalent plastic strain is as follows:
In formula, σ is the true stress of polycarbonate, and ω is damage variable, σyIt is yield stress,It is answered for equivalent ductility
Become, ChIt is then relevant parameter with γ.
(e) solution is fitted respectively to each parameter in sand stone concrete about tensile and compression test, and by institute
It obtains constitutive model write-in finite element software and carries out simulation calculating, gained stress-strain diagram will be simulated and test ture stress-strain
Curve compares, and verifies the correctness of the sand stone concrete.
The beneficial effects of the present invention are: this method passes through the linear elasticity stage of polycarbonate, yielding stage, strain softening rank
Section and the strain hardening stage description, carry out a large amount of different strain rate, at a temperature of tensile and compression test and add unload
Carry test, it is determined that relevant parameter of its material model under ture stress-strain, particularly by add unloading test by material
In influence write-in constitutive model of the internal injury to mechanical property；Reasonable optimization has been carried out to the parameter in model, has reduced ginseng
It ensure that the order of accuarcy of constitutive model while number quantity, meanwhile, it also achieves and stretches constitutive model and distilled edition structure mould
Effective unified combination of type.
It elaborates with reference to the accompanying drawings and detailed description to the present invention.
Detailed description of the invention
Fig. 1 is the linear relationship chart of yield stress and stretching environment temperature in the method for the present invention.
Fig. 2 is the bilinear relation figure between the logarithmic strain rate in the method for the present invention in yield stress and tension test.
Fig. 3 is the curve graph in the method for the present invention in tension test between the strain of damage variable homoplasy.
Fig. 4 is in embodiment of the present invention method at 25 DEG C, strain rate 0.1s-1Tensional state under sand stone concrete institute
Obtain the comparison diagram of curve and true stress―strain curve.
Fig. 5 is in embodiment of the present invention method at 25 DEG C, strain rate 4500s-1Tensional state under sand stone concrete
The comparison diagram of curve obtained and true stress―strain curve.
Specific embodiment
Referring to Fig.1-5.The present invention is based on the construction method of stretching and the polycarbonate sand stone concrete of compression experiment tools
Steps are as follows for body:
Stretching and compression parameters in sand stone concrete be not identical, but since its test method and parameter determine
Method is consistent, below only for polycarbonate in different temperatures (- 60-120 DEG C), different strain rate (0.0005s-1, 0.001s-1, 0.01s-1, 0.1s-1, 1400s-1, 2000s-1, 3500s-1, 4500s-1) under tension test obtained by test data, carry out phase
The fitting of parameter is closed, and the result being calculated and actual experimental result are compared into verifying.
Step 1: by quasi-static uniaxial tensile test, obtain conditions present (25 DEG C, 0.01s-1) under polycarbonate it is true
Real stress-strain diagram calculates its elasticity modulus according to the data in its linear elasticity stage:
In formula, E is polycarbonate elastomer modulus, and σ is the resulting true stress of test, and ε is logarithmic strain.
Step 2: stretching test data according under different temperatures, strain rate, obtain yield stress and temperature and strain rate
Between non-linear relation, indicated by following formula:
In formula, σyIt is the yield stress of polycarbonate,It is the equivalent strain rate during test, ThIt is homologous temperature, K,
Cr,Ct, m is then correlation test parameter, equivalent strain rateAnd homologous temperature ThIt is indicated by following formula:
Wherein,It is the deviatoric tensor of strain increment, T is the environment temperature in test, TrIt is 25 DEG C of room temperature, TgThen represent
The glass transition temperature of polycarbonate, value are 150 DEG C.Fig. 1 and Fig. 2 respectively illustrates temperature and strain under tensional state
Rate is with the relationship between yield stress, and under tensional state, yield stress shows the trend linearly reduced as the temperature increases；
Meanwhile yield stress has shown the increased rule of bilinearity with the increase of strain rate.
Step 3: material internal damage status is determined by multi-drawing plus unloading test.For discrete test data, damage
Hurt variable to be acquired according to the following formula:
In formula, ω is the damage variable of polycarbonate, E0It is initial elasticity modulus,It is to add uninstall process Elastic Modulus
Value.The discrete damage variable data being calculated are integrated, the relationship between plastic strain is damaged:
Wherein, ω is the damage variable of polycarbonate,For equivalent plastic strain, CωIt is test relevant parameter with x.Fig. 3
Show the relationship between the strain of damage variable homoplasy, the rule of the plastic strain exponentially function of damage variable and material,
Initial phase quicklys increase with plastic strain, and then trend becomes gentle gradually.
Step 4: in tension test stress-strain diagram strain softening and strain hardening data analyze, arrangement can
The relationship obtained between true stress and damage variable, yield stress and equivalent plastic strain is as follows:
In formula, σ is the true stress of polycarbonate, and ω is damage variable, σyIt is yield stress,It is answered for equivalent ductility
Become, ChIt is then relevant parameter with γ.
Step 5: by sand stone concrete be written Nonlinear Finite meta software Ls-dyna in subroutine module, establish with
Test model, constraint and the load under the same terms.Numerical simulation calculation is carried out to model, by gained stress-strain diagram and examination
It tests true stress―strain curve to compare, verifies the correctness of the sand stone concrete.Fig. 4 and Fig. 5 respectively illustrates poly- carbon
Acid esters tensile sample is respectively 0.1s in strain rate-1, 4500s-1, temperature is the true stress―strain curve in 25 DEG C of environment
Test data and emulation data, stress-strain diagram present apparent elasticity, surrender, strain softening and strain hardening rank
Section, calculated result and test result are coincide well, and the accuracy of the sand stone concrete is further demonstrated.
Table 1 gives in a stretched state, the related parameter values in polycarbonate constitutive model.
Claims (1)
1. it is a kind of based on stretch or compression experiment polycarbonate sand stone concrete construction method, it is characterised in that including with
Lower step:
(a) by polycarbonate carry out stretch or compression test obtain its true stress and strain curve, according to its elastic stage
Calculate elastic modulus E:
In formula, E is polycarbonate elastomer modulus, and σ is the resulting true stress of test, and ε is logarithmic strain；
(b) it according to the test data of the stretching or compressions that under different temperatures, strain rate, carried out to polycarbonate, is surrendered
Non-linear relation between stress and temperature and strain rate, is indicated by following formula:
In formula, σyIt is the yield stress of polycarbonate,It is the equivalent strain rate during test, ThIt is homologous temperature,
Homologous temperature ThIt is indicated by following formula
K,Cr,Ct, m is then correlation test parameter, and wherein T is test temperature, TrIt is reference temperature, TgIt is the vitrifying of polycarbonate
Temperature；
(c) material internal damage status is determined by multi-drawing or compression plus unloading test；For discrete test data, damage
Variable is acquired according to the following formula:
In formula, ω is the damage variable of polycarbonate, E0It is initial elasticity modulus,It is the value for adding uninstall process Elastic Modulus；
The discrete damage variable data being calculated are integrated, the relationship between plastic strain is damaged:
Wherein, ω is the damage variable of polycarbonate,For equivalent plastic strain, CωIt is test relevant parameter with x；
(d) to stretch or compression test stress-strain diagram in strain softening and strain hardening data analyze, arrange
The relationship that can be obtained between true stress and damage variable, yield stress and equivalent plastic strain is as follows:
In formula, σ is the true stress of polycarbonate, and ω is damage variable, σyIt is yield stress,For equivalent plastic strain, ChWith
γ is then relevant parameter；
(e) in sand stone concrete about stretching or each parameter of compression test is fitted solution respectively, and by gained sheet
Structure model write-in finite element software carries out simulation calculating, by simulation gained stress-strain diagram and test true stress―strain curve
It compares, verifies the correctness of the sand stone concrete.
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