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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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Nonlocal Effects in Micromechanics of Locally Elastic CMs,rature method or the iteration one. Solution for a microinhomogeneous half-space is presented through the operator form of perturbators in the framework of the generalized quasi-crystalline approximation.
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Bond-Based Peridynamics,se potential function, and peridynamic stress are presented. Volumetric boundary conditions are defined, and the linearized microelastic model is considered. Damage is introduced by permitting damaged bonds to break irreversibly by bond removing if the bond stretch exceeds a critical stretch.
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Computational Homogenization in Linear Peridynamic Micromechanics of Periodic Structure CMs,i. Effective moduli of peridynamic medium with periodically distributed damage are estimated. The volumetric Bloch-Floquet periodic boundary condition is proposed. The scheme of data-driven learning of nonlocal models is presented.
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Basic Representations of New Background of Analytical Micromechanics,mation ., the hypothesis of “ellipsoidal symmetry” ., and Eshelby tensor. Abandonment of a few different combinations of these hypotheses leads to detection of some new effects that are impossible in the framework of a classical background of micromechanics analyzed in Chap. ..
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