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Nonlocal thermo-elastic constitutive relation of fibre-reinforced composites

Wang, Linjuan, Xu, Jifeng, Wang, Jianxiang and Karihaloo, Bhushan L. 2020. Nonlocal thermo-elastic constitutive relation of fibre-reinforced composites. Acta Mechanica Sinica 36 (1) , pp. 176-187. 10.1007/s10409-019-00916-4

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The effective properties of composite materials have been predicted by various micromechanical schemes. For composite materials of constituents which are described by the classical governing equations of the local form, the conventional micromechanical schemes usually give effective properties of the local form. However, it is recognized that under general loadingconditions,spatiotemporalnonlocalconstitutiveequationsmaybetterdepictthemacroscopicbehaviorofthesematerials. In this paper, we derive the thermo-elastic dynamic effective governing equations of a fibre-reinforced composite in a coupled spatiotemporal integral form. These coupled equations reduce to the spatial nonlocal peridynamic formulation when the microstructural inertial effects are neglected. For static deformation and steady-state heat conduction, we show that the integral formulation is superior at capturing the variations of the average displacement and temperature in regions of high gradients than the conventional micromechanical schemes. The approach can be applied to analogous multi-field coupled problems of composites. Keywords Nonlocal theory·Thermoelasticity·Composite materials·Constitutive equations

Item Type: Article
Date Type: Publication
Status: Published
Schools: Engineering
Publisher: Springer Verlag (Germany)
ISSN: 0567-7718
Date of Acceptance: 22 October 2019
Last Modified: 28 Sep 2020 11:15

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