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International Journal for Multiscale Computational Engineering
Facteur d'impact: 1.016 Facteur d'impact sur 5 ans: 1.194 SJR: 0.554 SNIP: 0.68 CiteScore™: 1.18

ISSN Imprimer: 1543-1649
ISSN En ligne: 1940-4352

International Journal for Multiscale Computational Engineering

DOI: 10.1615/IntJMultCompEng.2014011358
pages 55-71

EFFECTIVE THERMOELASTIC PROPERTIES OF HETEROGENEOUS THERMOPERISTATIC BAR OF RANDOM STRUCTURE

Valeriy A. Buryachenko
Civil Engineering Department, University of Akron, Akron, Ohio 44325-3901, USA and Micromechanics and Composites LLC, 2520 Hingham Lane, Dayton, Ohio 45459, USA
Chen Wanji
Key Laboratory of Liaoning Province for Composite Structural Analysis of Aerocraft & Simulation, Shenyang Aerospace University, Shenyang, LN 110136, PR China
Yang Shengqi
State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology, Dalian 116024, China

RÉSUMÉ

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.


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