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Acta Mechanica Sinica
Published in: Acta Mechanica Sinica 5/2015

16-09-2015 | Review Paper

Some recent advances in 3D crack and contact analysis of elastic solids with transverse isotropy and multifield coupling

Author: Wei-Qiu Chen

Published in: Acta Mechanica Sinica | Issue 5/2015

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Abstract

Significant progress has been made in mixed boundary-value problems associated with three-dimensional (3D) crack and contact analyses of advanced materials featuring more complexities compared to the conventional isotropic elastic materials. These include material anisotropy and multifield coupling, two typical characteristics of most current multifunctional materials. In this paper we try to present a state-of-the-art description of 3D exact/analytical solutions derived for crack and contact problems of elastic solids with both transverse isotropy and multifield coupling in the latest decade by the potential theory method in the spirit of V. I. Fabrikant, whose ingenious breakthrough brings new vigor and vitality to the old research subject of classical potential theory. We are particularly interested in crack and contact problems with certain nonlinear features. Emphasis is also placed on the coupling between the temperature field (or the like) and other physical fields (e.g., elastic, electric, and magnetic fields). We further highlight the practical significance of 3D contact solutions, in particular in applications related to modern scanning probe microscopes.
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Metadata
Title
Some recent advances in 3D crack and contact analysis of elastic solids with transverse isotropy and multifield coupling
Author
Wei-Qiu Chen
Publication date
16-09-2015
Publisher
The Chinese Society of Theoretical and Applied Mechanics; Institute of Mechanics, Chinese Academy of Sciences
Published in
Acta Mechanica Sinica / Issue 5/2015
Print ISSN: 0567-7718
Electronic ISSN: 1614-3116
DOI
https://doi.org/10.1007/s10409-015-0509-3

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