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

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• 作者：Guo Fenglin and Zheng Quanshui
• 关键词：Stroh formalism ; completeness ; degenerate cases ; tetratropy
• 刊名：Acta Mechanica Sinica
• 出版年：2003
• 出版时间：June, 2003
• 年：2003
• 卷：19
• 期：3
• 页码：270-275
• 全文大小：429.8 KB

文摘

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.