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J. Compos. Sci. 2017, 1(1), 4; doi:10.3390/jcs1010004

The Induced Stress Field in Cracked Composites by Heat Flow

School of Mechanical Engineering, Faculty of Engineering, Tel Aviv University, Ramat Aviv 69978, Israel
Academic Editor: Francesco Tornabene
Received: 27 April 2017 / Revised: 28 May 2017 / Accepted: 29 May 2017 / Published: 6 June 2017
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Abstract

A multiscale (micro-macro) approach is proposed for the establishment of the full thermal and induced stress fields in cracked composites that are subjected to heat flow. Both the temperature and stresses’ distributions are determined by the solution of a boundary value problem with one-way coupling. At the micro level and for combined thermomechanical loading, a micromechanical analysis is employed to determine the effective moduli, coefficients of thermal expansion and thermal conductivities of the undamaged composite. At the macro level, the representative cell method is employed according to which the periodic damaged composite region is reduced, in conjunction with the discrete Fourier transform, to a finite domain problem. As a result, a boundary value problem is obtained in the Fourier transform domain, which is appropriately discretized and solved. The inverse transform and an iterative procedure provide the full thermal and stress fields. The proposed method is verified by comparisons with exact solutions. Applications are given for the determination of the thermal and stress fields in cracked fiber-reinforced polymeric composite, cracked porous ceramic material and cracked periodically-layered ceramic composite caused by the application of heat flow. The presented formulation admits however the application of a combined mechanical and heat flux on cracked composites. View Full-Text
Keywords: fiber-reinforced composites; porous materials; thermal stresses; representative cell method; high-fidelity generalized method of cells fiber-reinforced composites; porous materials; thermal stresses; representative cell method; high-fidelity generalized method of cells
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Aboudi, J. The Induced Stress Field in Cracked Composites by Heat Flow. J. Compos. Sci. 2017, 1, 4.

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