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The completeness and a new derivation of the Stroh formalism of anisotropic linear elasticity

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Abstract

In this paper we present a new, simpler and unified derivation of the Stroh formalism of anisotropic linear elasticity, for both nondegenerate and degenerate cases. It is based on the potential representation and Jordan canonical representation theorems. The completeness of the Stroh formalism is proved in the derivation process itself. This new approach is also extended to piezoelastic problems. Besides, we show that the eigenvalues of the fundamental elastic matrix in planar anisotropic elasticity are always distinct, except for the case of isotropy.

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Authors and Affiliations

  1. Department of Engineering Mechanics, Tsinghua University, 100084, Beijing, China

    Guo Fenglin & Zheng Quanshui

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  1. Guo Fenglin
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  2. Zheng Quanshui
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The project supported by the National Natural Science Foundation of China (19525207 and 19891180).

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Fenglin, G., Quanshui, Z. The completeness and a new derivation of the Stroh formalism of anisotropic linear elasticity. Acta Mech Sinica 19, 270–275 (2003). https://doi.org/10.1007/BF02484490

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  • DOI: https://doi.org/10.1007/BF02484490

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