Acta Mechanica Sinica

, Volume 19, Issue 3, pp 270–275 | Cite as

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

  • Guo Fenglin
  • Zheng Quanshui
Article

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.

Key Words

Stroh formalism completeness degenerate cases tetratropy 

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Copyright information

© Chinese Society of Theoretical and Applied Mechanics 2003

Authors and Affiliations

  • Guo Fenglin
    • 1
  • Zheng Quanshui
    • 1
  1. 1.Department of Engineering MechanicsTsinghua UniversityBeijingChina

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