Titlebook: Local and Nonlocal Micromechanics of Heterogeneous Materials; Valeriy A. Buryachenko Book 2022 The Editor(s) (if applicable) and The Autho

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半圓鑿

Effective Properties and Energy Methods in Thermoelasticity and Thermoelectroelasticity of Composithat is appropriate for our intended application to composites. General representations of both effective properties and effective energy functions are presented through the local stress and strain concentrator factors. Some general exact results for both two-phase composites and polycrystals compose

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Abutment

Multiparticle Effective Field and Related Methods in Micromechanics of Random Structure Composites,this chapter the self-consistent methods based on some mathematical approximations for solving the classical GIE for statistically homogeneous CMs analyzed in Chap. .. The notion of an effective field in which each particle is located is a basic concept of such powerful methods in micromechanics as

Interim

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侵害

Interface Integral Technique in Thermoelasticity of Random Structure Matrix CMs,s of the interface polarization tensors introduced apparently for the first time. New GIE is obtained in terms of a perturbators introduced by the boundary interface integrals estimated by the method of fundamental solution for a single inclusion inside the infinite matrix. This enables us to recons

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Nonlocal Effects in Micromechanics of Locally Elastic CMs,ly homogeneous fields leads to a . coupling between statistical averages of the stress and strain tensors. Nonlocal effective integral operator estimated by the MEFM in this chapter is reduced to the differential one for the smoothed applied fields. Statistically homogeneous CMs are analyzed by eith

Obligatory

Micromechanics of Strongly Nonlocal Strain-Type and Weakly Nonlocal CMs,he microlevel is assumed to be nonlocal. Different nonlocal models are considered: strongly nonlocal (strain-type) and slightly nonlocal (strain gradient theories, stress-gradient theories). The nonlocal counterparts are obtained as the generalization of classical general results for locally elastic