Published 6 issues per year
ISSN Print: 1543-1649
ISSN Online: 1940-4352
Indexed in
SOME GENERAL REPRESENTATIONS IN THERMOPERISTATICS OF RANDOM STRUCTURE COMPOSITES
ABSTRACT
The basic feature of the peridynamic model considered is a continuum description of a material behavior as the integrated nonlocal force interactions between infinitesimal particles. In contrast to these classical local and nonlocal theories, the peridynamic equation of motion introduced by Silling (J. Mech. Phys. Solids 2000; 48:175209) is free of any spatial derivatives of displacement. The general results establishing the links between the effective properties (effective elastic moduli, effective thermal expansion) and the corresponding mechanical and transformation influence functions are obtained. The general integral equations (GIE) connecting the displacement fields in the point being considered and the surrounding points is proposed. These new GIEs are obtained by centering procedure of subtraction from both sides of a new initial integral equation their statistical averages obtained without any auxiliary assumptions which are implicitly exploited in the known centering methods.
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Buryachenko Valeriy A., Effective elastic modulus of heterogeneous peristatic bar of random structure, International Journal of Solids and Structures, 51, 17, 2014. Crossref
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Buryachenko Valeriy A., Solution of general integral equations of micromechanics of heterogeneous materials, International Journal of Solids and Structures, 51, 23-24, 2014. Crossref
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Buryachenko Valeriy A, Effective properties of thermoperistatic random structure composites: Some background principles, Mathematics and Mechanics of Solids, 22, 6, 2017. Crossref
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Buryachenko Valeriy A, Interface integral technique for the thermoelasticity of random structure matrix composites, Mathematics and Mechanics of Solids, 24, 9, 2019. Crossref
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Buryachenko Valeriy A., Effective elastic modulus of heterogeneous peristaic bar of periodic structure, Computers & Structures, 202, 2018. Crossref
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Buryachenko Valeriy A., Computational homogenization in linear elasticity of peristatic periodic structure composites, Mathematics and Mechanics of Solids, 24, 8, 2019. Crossref
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Javili Ali, Morasata Rico, Oterkus Erkan, Oterkus Selda, Peridynamics review, Mathematics and Mechanics of Solids, 24, 11, 2019. Crossref
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Buryachenko Valeriy A., Modeling of One Inclusion in the Infinite Peristatic Matrix Subjected to Homogeneous Remote Loading, Journal of Peridynamics and Nonlocal Modeling, 1, 2, 2019. Crossref
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Buryachenko Valeriy A., Generalized Mori–Tanaka Approach in Micromechanics of Peristatic Random Structure Composites, Journal of Peridynamics and Nonlocal Modeling, 2, 1, 2020. Crossref
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Buryachenko Valeriy A., Background of Peridynamic Micromechanics, in Local and Nonlocal Micromechanics of Heterogeneous Materials, 2022. Crossref
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Buryachenko Valeriy A., Peridynamic Micromechanics of Random Structure Composites, in Local and Nonlocal Micromechanics of Heterogeneous Materials, 2022. Crossref
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Buryachenko Valeriy A, Effective nonlocal behavior of peridynamic random structure composites subjected to body forces with compact support and related prospective problems, Mathematics and Mechanics of Solids, 2022. Crossref
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Buryachenko Valeriy A., Generalized effective fields method in peridynamic micromechanics of random structure composites, International Journal of Solids and Structures, 202, 2020. Crossref
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Buryachenko Valeriy A. , EFFECTIVE DISPLACMENTS OF PERIDYNAMIC HETEROGENEOUS BAR LOADED BY BODY FORCE WITH COMPACT SUPPORT , International Journal for Multiscale Computational Engineering, 21, 1, 2023. Crossref