Physically nonlinear and related approximate theories of elasticity, and their invariance properties (Q1063439)

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scientific article; zbMATH DE number 3917797
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Physically nonlinear and related approximate theories of elasticity, and their invariance properties
scientific article; zbMATH DE number 3917797

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    Physically nonlinear and related approximate theories of elasticity, and their invariance properties (English)
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    1985
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    The authors discuss a number of nonlinear theories of elasticity including: second order theory; small-strain, moderate-rotation theory; and small-rotation, moderate-strain theory. A systematic development of physically nonlinear elasticity is given. Stress-strain relations for anisotropic physically nonlinear materials are derived. The paper is carefully written. It will probably be of use to both theoreticians and practicioners in nonlinear elasticity.
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    approximate theories of elasticity
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    auxiliary motions
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    transformation of fields
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    change of pivot
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    invariance requirements
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    second order theory
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    small-strain
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    moderate-rotation theory
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    small-rotation
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    moderate-strain theory
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    physically nonlinear elasticity
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    Stress-strain relations
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