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ENERGY-MINIMAL FINITE DEFORMATIONS OF A SYMMETRICALLY LOADED ELASTIC SHEET - MaRDI portal

ENERGY-MINIMAL FINITE DEFORMATIONS OF A SYMMETRICALLY LOADED ELASTIC SHEET (Q3692985)

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ENERGY-MINIMAL FINITE DEFORMATIONS OF A SYMMETRICALLY LOADED ELASTIC SHEET
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    ENERGY-MINIMAL FINITE DEFORMATIONS OF A SYMMETRICALLY LOADED ELASTIC SHEET (English)
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    1986
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    unit square block of incompressible elastic material
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    changing number of asymmetric solutions
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    second variation conditions
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    constrained minimization problem for C(sup 2)-function of finitely-many real variables
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    Lagrange multiplier
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    strict local minimum
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    isotropic materials
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    spectral representation
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    global minimizer
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    homogeneous finite deformations
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    rectangular sheet
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    Mooney-Rivlin material
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    equal tensile dead loads
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    existence of (at least one) homogeneous equilibrium
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    minimizes the potential energy
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    class of homogeneous minimizers
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    critical value of a material parameter
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    ratio of the Mooney-Rivlin constants
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    qualitative nature of the solution class undergoes a change
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