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On the Canonical Elastic Moduli of Linear Plane Anisotropic Elasticity

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Abstract

The linear, planar, anisotropic elastic equilibrium equations are transformed to canonical form, through linear transformations of both coordinates and unknown displacement functions, together with a linear combination of equations. Correspondingly, the six original material moduli are replaced by two canonical elastic moduli. Similar results have been reached by Olver in 1988. However, the method demonstrated in this paper is more concise and direct. As an example, the general solution to the canonical equations is obtained in the case of a pair of double roots.

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Authors and Affiliations

  1. State Key Laboratory for Turbulence and Complex Systems and Department of Mechanics and Engineering Science, Peking University, 100871, Beijing, PR China

    Xiangyong Li, Baixiang Xu & Minzhong Wang

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  1. Xiangyong Li
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  2. Baixiang Xu
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  3. Minzhong Wang
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Correspondence to Xiangyong Li.

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Li, X., Xu, B. & Wang, M. On the Canonical Elastic Moduli of Linear Plane Anisotropic Elasticity. J Elasticity 85, 107–117 (2006). https://doi.org/10.1007/s10659-006-9073-1

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  • DOI: https://doi.org/10.1007/s10659-006-9073-1

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