Asymptotic analysis of the nonlinear equations for an infinite, rubber- like slab under an equilibrated vertical line load (Q808763)

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scientific article; zbMATH DE number 4211606
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Asymptotic analysis of the nonlinear equations for an infinite, rubber- like slab under an equilibrated vertical line load
scientific article; zbMATH DE number 4211606

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    Asymptotic analysis of the nonlinear equations for an infinite, rubber- like slab under an equilibrated vertical line load (English)
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    1990
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    incompressible Rivlin-Saunders material
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    constant thickness
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    equilibrated, radially varying, vertical body force
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    concentrated, downward line load
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    smooth, upward, exponentially distributed load
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    axisymmetric
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    three stretches
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    shear strain
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    four strains
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    rotation
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    Force equilibrium
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    incompressibility constraint
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    stress-strain relations
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    set of seven, first-order, quasilinear partial differential equations
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    11 possible sets of field equations
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    linear plate theory
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    von Kármán plate theory
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    Föppl membrane theory
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    large strain membrane theory
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    Wu's large-stretch (asymptotic) membrane theory
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