Bifurcation of plane incompressible elastic membranes subjected to dead- load tractions (Q1083267)

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scientific article; zbMATH DE number 3976495
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Bifurcation of plane incompressible elastic membranes subjected to dead- load tractions
scientific article; zbMATH DE number 3976495

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    Bifurcation of plane incompressible elastic membranes subjected to dead- load tractions (English)
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    1987
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    An incomplete elastic membrane subjected to dead-load tractions is considered. General bifurcation criteria are obtained for homogeneous shape-change bifurcations, incremental modes of bifurcation and for the emergence of shear bands. The homogeneous mode of bifurcation is the first to occur and we show that incremental bifurcation modes may exist as secondary bifurcations. We find that shear bands may occur simultaneously with the incremental modes.
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    arbitrary form of the strain-energy function
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    equi-biaxial dead loading
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    post-bifurcation path
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    local incremental bifurcation mode
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    equations of small deformations superposed on large
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    incomplete elastic membrane
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    dead-load tractions
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    General bifurcation criteria
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    homogeneous shape- change bifurcations
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    incremental modes of bifurcation
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    shear bands
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