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On the Determination of Plane and Axial Symmetries in Linear Elasticity and Piezo-Electricity

Abstract : We formulate necessary and sufficient conditions for a unit vector n to generate a plane or axial symmetry of a constitutive tensor. For the elasticity tensor, these conditions consist of two polynomial equations of degree lower than four in the components of n. Compared to Cowin-Mehrabadi conditions, this is an improvement, since these equations involve only the normal vector n to the plane symmetry (and no vector perpendicular to n). Similar reduced algebraic conditions are obtained for linear piezo-electricity and for totally symmetric tensors up to order 6.
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Submitted on : Friday, May 15, 2020 - 5:38:20 PM
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Marc Olive, Boris Desmorat, Boris Kolev, Rodrigue Desmorat. On the Determination of Plane and Axial Symmetries in Linear Elasticity and Piezo-Electricity. Journal of Elasticity, Springer Verlag, 2020, ⟨10.1007/s10659-020-09778-5⟩. ⟨hal-02516951v2⟩

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