Structure of singularities and its numerical realization in nonlinear elasticity (Q1054523)

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scientific article; zbMATH DE number 3823283
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Structure of singularities and its numerical realization in nonlinear elasticity
scientific article; zbMATH DE number 3823283

    Statements

    Structure of singularities and its numerical realization in nonlinear elasticity (English)
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    1980
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    snap and bifurcation phenomena
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    Kármán-Donnell-Marguerre shell boundary value problem
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    homogeneous boundary values
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    structure of singularities
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    elementary and stable catastrophes
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    one behaviour variable
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    structure of fold and cusp catastrophes
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    formal classification theorems of simple critical points
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    local behaviour of solutions
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    group theoretical arguments
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    existence or non-existence of symmetry group
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    numerical realization of singularities
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    ordinary paths
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    approximate eigenproblems
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    error estimates
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    numerical buckling loads
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    buckling modes
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    buckling states
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