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Minimal functional bases for elasticity tensor symmetry classes

Abstract : Functional bases, synonymous with separating sets, are usually formulated for an entire vector space, such as the space Ela of elasticity tensors. We propose here to define functional bases limited to symmetry strata, i.e. sets of tensors of the same symmetry class. We provide such lowcardinal minimal bases for tetragonal, trigonal, cubic or transversely isotropic symmetry strata of the elasticity tensor.
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https://hal.archives-ouvertes.fr/hal-03241501
Contributor : Boris Kolev Connect in order to contact the contributor
Submitted on : Friday, May 28, 2021 - 4:44:09 PM
Last modification on : Wednesday, March 16, 2022 - 3:49:49 AM
Long-term archiving on: : Sunday, August 29, 2021 - 7:36:57 PM

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Rodrigue Desmorat, N Auffray, B Desmorat, M Olive, Boris Kolev. Minimal functional bases for elasticity tensor symmetry classes. Journal of Elasticity, Springer Verlag, 2022, ⟨10.1007/s10659-021-09872-2⟩. ⟨hal-03241501⟩

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