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A short proof of the representation theorem for isotropic, linear stress- strain relations

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Publication:1846761
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DOI10.1007/BF00049267zbMath0288.73020MaRDI QIDQ1846761

Morton E. Gurtin

Publication date: 1974

Published in: Journal of Elasticity (Search for Journal in Brave)



Mathematics Subject Classification ID

Elastic materials (74B99)


Related Items (10)

Representations of linear, isotropic tensor functions of an asymmetric argument ⋮ On the representation of the elasticity tensor for isotropic materials ⋮ A concise proof of the representation theorem for fourth-order isotropic tensors ⋮ Invariant characteristic representations for classical and micropolar anisotropic elasticity tensors ⋮ A concise proof of the representation theorem for linear isotropic tensor-valued mappings of a skew argument ⋮ Irreducibility of a symmetry group implies isotropy ⋮ On the theory of fourth-order tensors and their applications in computational mechanics ⋮ The representation theorem for isotropic, linear asymmetric stress-strain relations ⋮ On Hooke's law ⋮ A naive proof of the representation theorem for isotropic, linear asymmetric stress-strain relations



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