Abstract
The behavior of heterogeneous materials is studied. The dependence of the effective elastic properties of micro-heterogeneous materials on the loading conditions are analyzed and corresponding mathematical methods for the description of the observed effects are proposed. The constitutive relations of the theory of elasticity for isotropic solids with stress state dependent deformation properties are considered. The possible approach to the formulation of the constitutive relations for the elastic anisotropic solids that elastic properties depend on the stress state type is considered, and the corresponding constitutive relations are proposed. The method for the determination of material’s functions on the base of experimental data is proposed. The quite satisfactory correspondence between the theoretical results and experimental data is shown.
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© 2011 Springer-Verlag Berlin Heidelberg
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Lomakin, E.V. (2011). Constitutive Models of Mechanical Behavior of Media with Stress State Dependent Material Properties. In: Altenbach, H., Maugin, G., Erofeev, V. (eds) Mechanics of Generalized Continua. Advanced Structured Materials, vol 7. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-19219-7_17
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DOI: https://doi.org/10.1007/978-3-642-19219-7_17
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