Abstract In mechanics of continuum media, the theories for isotropic materials have been well established. Namely, one is almost always able to find out an existing theory to resolve any mechanics problem of an isotropic material satisfactorily. In the contrast, only elastic theories for anisotropic or composite materials have been matured. The other mechanical property of the composite, such as a plastic deformation or failure and strength behavior, is essentially not well understandable through an available theory. The fundamental reason is that only the homogenized stresses in the fiber and matrix of a composite are obtainable by an existing theory. They must be converted into true values before the plastic behavior and, especially, the failure and strength property of the composite can be estimated. In this paper, the true stress theory of the matrix together with the formulae for calculating all of the matrix true stresses established by the author is summarized. The role of the matrix true stress theory in the analysis of composite plastic behavior and failure and strength property is highlighted.
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Received: 14 March 2022
Published: 17 June 2022
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Corresponding Authors:
Zheng-Ming HUANG
E-mail: huangzm@tongji.edu.cn
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