Constitutive equations of an isotropic hyperelastic body (Q2714060)

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scientific article; zbMATH DE number 1603322
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Constitutive equations of an isotropic hyperelastic body
scientific article; zbMATH DE number 1603322

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    10 June 2001
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    strain rates
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    Cauchy and Piola-Kirchhoff stress tensor
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    strain tensor invariant
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    Constitutive equations of an isotropic hyperelastic body (English)
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    Stress-strain equations for an isotropic hyperelastic body are formulated. It is shown that the strain energy density whose gradient determines stresses can be defined as a function of two rather than three arguments, namely, strain-tensor invariants. In the case of small strains, the equations become relations of Hook's law with two material constants, namely, shear modulus and bulk modulus.
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