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A natural generalization of hypoelasticity and Eulerian rate type formulation of hyperelasticity - MaRDI portal

A natural generalization of hypoelasticity and Eulerian rate type formulation of hyperelasticity (Q1578537)

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scientific article; zbMATH DE number 1500104
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English
A natural generalization of hypoelasticity and Eulerian rate type formulation of hyperelasticity
scientific article; zbMATH DE number 1500104

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    A natural generalization of hypoelasticity and Eulerian rate type formulation of hyperelasticity (English)
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    16 October 2001
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    This paper deals with a generalization of hypoelasticity in order to include all of elasticity. This is performed by replacing the isotropy property of the stress-dependent hypoelasticity tensor by the invariance property with respect to the conjugate of a suitable ``initial material symmetry group'' here defined. Conversely, the authors investigate in detail the integrability conditions on hypoelasticity to obtain elasticity.
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    generalized hypoelasticity
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    initial material symmetry group
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    elasticity
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    stress-dependent hypoelasticity tensor
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    invariance
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    integrability conditions
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