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The Piola-Kirchhoff stress may depend linearly on the deformation gradient - MaRDI portal

The Piola-Kirchhoff stress may depend linearly on the deformation gradient (Q1082865)

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scientific article; zbMATH DE number 3974420
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The Piola-Kirchhoff stress may depend linearly on the deformation gradient
scientific article; zbMATH DE number 3974420

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    The Piola-Kirchhoff stress may depend linearly on the deformation gradient (English)
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    1987
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    It is shown that, whenever the residual stress does not vanish, the response function delivering the Piola-Kirchhoff stress in terms of the deformation gradient may be genuinely linear, and yet independent of the observer; moreover, an explicit representation formula for such a function is obtained.
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    residual stress does not vanish
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    response function
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    Piola-Kirchhoff stress
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    deformation gradient
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    genuinely linear
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    explicit representation formula
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