Constitutive relations for calculating the processes of quasistatic deformation, damage, and fracture of bodies (Including those with concentrators) made of filled polymer materials

Bykov, Dmitry A.; Коновалов, Д. Н.; Peleshko, V. A.

doi:10.3103/s0025654411060045

Cited by 4 publications

(8 citation statements)

References 9 publications

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“…1, where the stress values in the process of relaxation of material A at various strain levels are given in logarithmic coordinates. The test duration in these experiments was nearly 8 × 10 5 s. The series of points 1, 3, 5 correspond to the experimental dependence of the conditional stress s 11 …”

Section: Experimental Techniquementioning

confidence: 84%

“…The endochronic theory was generalized to the case of finite strains in [10]. The version of the theory proposed in [11] permits taking into account the influence of the hydrostatic pressure and temperature on the properties of the material and describing the damage accumulation process in the material under strain. The results of experimental verification of these generalizations showed that the developed endochronic approach permits obtaining a sufficiently complete description of various specific characteristics of mechanical behavior of highly filled polymer systems.…”

Section: Introductionmentioning

confidence: 99%

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Study of viscoelastic properties of elastomers reinforced by nanoparticles

Zezin

Ломакин

2015

Mech. Solids

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The results of experimental studies of hyperelastic and relaxation properties of polymer composites with elastomer matrix based on hydrogenated nitrile-butadiene rubber filled with technical carbon particles in the temperature range 20-125 • C are presented. The characteristic experimental strain curves of materials in extension at a constant strain rate and the stress relaxation curves in materials at various tensile strain levels are given. A possible version of constitutive relations for describing some specific features of mechanical behavior of the considered materials under finite strains is considered. The obtained experimental data are used to verify the proposed constitutive relations experimentally. It is shown that the temperature-time analogy permits one to use the obtained constitutive relations to analyze nonmonotone variations in the relaxation properties of the considered materials as the temperature increases in the range under study.

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Section: Experimental Techniquementioning

confidence: 84%

Section: Introductionmentioning

confidence: 99%

Study of viscoelastic properties of elastomers reinforced by nanoparticles

Zezin

Ломакин

2015

Mech. Solids

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“…The "switching-off" of the other nonlinearity functions in model (2.1)-(2.6) can be explained by the fact that, under the conditions of shock compression, it is assumed that the value of the limit strain intensity is much greater than the value ε u realized in the problems under study, and thus ω < ω l . To modify the theory at the expense of the law (4.2) for variable coefficients c P , c c of the function ϕ P (χ), it is necessary to modify the subprogram UMAT developed earlier in [16], which determines the properties of nonstandard materials in the program complex ABAQUS. The modeling of the process of the hammer fall on the specimen starts from identification of the func-tionR(t) of dynamic shear relaxation.…”

Section: Axial Shock Compressionmentioning

confidence: 99%

“…The mathematical model [15] has a wide experimental justification (the comparison in [15] with the results of [8][9][10] of more than 50 programs of quasistatic loading with various laws of strain variation at different levels of hydrostatic pressure and temperature; the materials were highly filled rubbers of three grades) and a detailed and relatively simple procedure for identifying the material constants. In [16], the tensor generalization of the model [15] was carried out (in incremental form) and a method for solving the initial boundaryvalue problems was proposed, implemented in software, and tested by finite-element computations of geometrically nonlinear deformation and local fracture of bodies with strongly inhomogeneous stress state. The dynamical version of the model [15] was used in [17] to solve the problem of shock compression for a cylinder.…”

Section: Introductionmentioning

confidence: 99%

“…A generalization of the model [15] to the loading processes with long rests and the change of the deformation direction was presented in [18,19]. One possible application of the theory [15][16][17][18][19] can be the study of conjugate problems of modeling of intraballistic characteristics of solid-propellant rocket engines, because the solid propellant is in fact a HFPM. In such problems, the accuracy of the predicted result is mainly determined by the reliability of the mechanical model used to calculate the charge strain state at the beginning and during the operation of the engine [20].…”

Section: Introductionmentioning

confidence: 99%

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Law of damage accumulation and fracture criteria in highly filled polymer materials

et al. 2014

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We present the results of a large series of experiments aimed at the study of laws of damage accumulation and fracture in highly filled polymer materials under loading conditions of various types: monotone, repeated, low-and high-cycle, with varying type of stress state, dynamic (in general, more than 50 programs implemented on specimens from one lot of material). The data obtained in these test allow one to make conclusions about the constitutive role of the attained maximum of strain intensity when estimating the accumulated damage in the process of uniaxial tension by various programs (in particular, an additional cyclic deformation below the preliminary attained strain maximum does not affect the limit values of strain and stress in the subsequent active extension), about the strong influence of the stress state on the deformation and fracture, about the specific features of the nonlinear behavior of the material under the shock loading conditions and its influence on the repeated deformation. All tests are described (with an accuracy acceptable in practical calculations, both with respect to stresses and strains in the process of loading and at the moment of fracture) in the framework of the same model of nonlinear viscoelasticity with the same set of constants. The constants of the proposed model are calculated according to a relatively simple algorithm by using the results of standard uniaxial tension tests with constant values of the strain rate and hydrostatic pressure (each test for 2-3 levels of these parameters chosen from the ranges proposed in applications, each loading lasts until the fracture occurs, and one of the tests contains an intermediate interval of total loading and repeated loading) and one axial shock compression test if there are dynamic problems in the applications. The model is based on the use of the criterion fracture parameter which, in the class of proportional loading processes, is the sum of partial increments of the strain intensity on active segments of the process (where the strain intensity is at its historical maximum) with the form of the stress state and the intensity of strain rates taken into account.

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