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• W2058656588 abstract "It is explicitly shown that if the (spatial) elasticity tensor of an elastic material is taken as isotropic for all possible configurations, then its coefficients cannot be constants; they must depend nontrivially on the Jacobian determinant of the deformation gradient. Moreover, the assumption typically made for computational purposes that its coefficients remain constant for all possible configurations is incompatible with elasticity. It is further shown that an assumption widely used in the computational literature in the context of finite deformation plasticity, namely, relating an objective stress rate to the rate of deformation tensor through a fourth-rank constant isotropic tensor, is also incompatible with elasticity, thus furnishing an example of an hypoelastic material which is not elastic." @default.
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• W2058656588 date "1984-10-01" @default.
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• W2058656588 title "Remarks on rate constitutive equations for finite deformation problems: computational implications" @default.
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• W2058656588 doi "https://doi.org/10.1016/0045-7825(84)90062-8" @default.
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