Recovering the Normal Form and Symmetry Class of an Elasticity Tensor
Source abstract
Abstract
We propose an effective geometrical approach to recover the normal form of a given Elasticity tensor. We produce a rotation which brings an Elasticity tensor onto its normal form, given its components in any orthonormal frame, and this for any tensor of any symmetry class. Our methodology relies on the use of specific covariants and on the geometric characterization of each symmetry class using these covariants. An algorithm to detect the symmetry class of an Elasticity tensor is finally formulated.
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Research context
OpenAlex topics: Elasticity and Material Modeling · Seismic Imaging and Inversion Techniques · Advanced Numerical Analysis Techniques
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References (30)
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