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International Journal for Multiscale Computational Engineering

Published 6 issues per year

ISSN Print: 1543-1649

ISSN Online: 1940-4352

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Indexed in

EFFECTIVE THERMOELASTIC PROPERTIES OF HETEROGENEOUS THERMOPERISTATIC BAR OF RANDOM STRUCTURE

Volume 13, Issue 1, 2015, pp. 55-71
DOI: 10.1615/IntJMultCompEng.2014011358
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ABSTRACT

The basic feature of the peridynamic model considered is a continuum description of a material behavior as the integrated nonlocal force interactions between discrete material points. A statistically homogeneous heterogeneous bar of random structure of constituents with thermoperistatic mechanical properties is analyzed by using the standard averaging tool of micromechanics for the linear thermoelastic media. We demonstrate the applicability of the local thermoelasticity theory for the description of effective behavior of this bar. The mentioned analogy between the numerical models for the thermoelastic and termoperistatic heterogeneous bars is explained by the general results establishing the links between the effective properties (effective elastic moduli and effective thermal expansion) and the corresponding mechanical and transformation influence functions. The approach proposed is based on a numerical solution (for both the displacements and peristatic stresses) for one heterogeneity inside an infinite homogeneous bar loaded by either a pair of self-equilibrated concentrated remote forces or the residual stresses. These solutions are substituted into the general scheme of micromechanics of locally thermoelastic media adapted for the considered case of 1D thermoperistatic structures. One demonstrates a convergence of effective property estimations obtained for the thermoperistatic composite bar to the corresponding exact effective properties evaluated for the local thermoelastic theory. In so doing, the results obtained show that the thermoperistatic theory predicts some features that would not be presented in the classical linear thermoelastic solution. Thus, the effective eigenstrain exactly predicted in the classical local theory does not depend (in the 1D case) on the elastic properties of constituents, whereas this effective parameter evaluated in the thermoperistatic theory does depend on the micromoduli of constituents.

CITED BY
  1. Buryachenko Valeriy A, Effective properties of thermoperistatic random structure composites: Some background principles, Mathematics and Mechanics of Solids, 22, 6, 2017. Crossref

  2. Buryachenko Valeriy A., Computational homogenization in linear elasticity of peristatic periodic structure composites, Mathematics and Mechanics of Solids, 24, 8, 2019. Crossref

  3. Buryachenko Valeriy A., Effective elastic modulus of heterogeneous peristaic bar of periodic structure, Computers & Structures, 202, 2018. Crossref

  4. Javili Ali, Morasata Rico, Oterkus Erkan, Oterkus Selda, Peridynamics review, Mathematics and Mechanics of Solids, 24, 11, 2019. Crossref

  5. Buryachenko Valeriy A, Variational principles and generalized Hill’s bounds in micromechanics of linear peridynamic random structure composites, Mathematics and Mechanics of Solids, 25, 3, 2020. Crossref

  6. 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

  7. Buryachenko Valeriy A., Generalized Mori–Tanaka Approach in Micromechanics of Peristatic Random Structure Composites, Journal of Peridynamics and Nonlocal Modeling, 2, 1, 2020. Crossref

  8. Buryachenko Valeriy A., Background of Peridynamic Micromechanics, in Local and Nonlocal Micromechanics of Heterogeneous Materials, 2022. Crossref

  9. Buryachenko Valeriy A., Computational Homogenization in Linear Peridynamic Micromechanics of Periodic Structure CMs, in Local and Nonlocal Micromechanics of Heterogeneous Materials, 2022. Crossref

  10. Diehl Patrick, Lipton Robert, Wick Thomas, Tyagi Mayank, A comparative review of peridynamics and phase-field models for engineering fracture mechanics, Computational Mechanics, 69, 6, 2022. Crossref

  11. 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

  12. Buryachenko Valeriy A., Generalized effective fields method in peridynamic micromechanics of random structure composites, International Journal of Solids and Structures, 202, 2020. Crossref

  13. 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

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