Titlebook: Material Instabilities in Elastic and Plastic Solids; Henryk Petryk Conference proceedings 2000 CISM Udine 2000 Material Science.Materialw

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Bifurcation and Instability of Non-Associative Elastoplastic Solids,veloped in the form generalized by Raniecki to non-associativity. Local stability criteria are presented and systematically discussed in a critical way. These are: positive definiteness and non-singularity of the constitutive operator, and positive definiteness (strong ellipticity) and non-singulari

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Elastic and Pseudo-Elastic Instability and Bifurcation,ids subject to large deformations. The basic equations of nonlinear elasticity are summarized prior to a discussion of the linearized incremental equations, which are used as a basis for the analysis of (linearized) stability with particular reference to the dead-load boundary-value problem as a key

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Theory of Material Instability in Incrementally Nonlinear Plasticity,l constitutive law. A broad class of incrementally nonlinear material models is considered which encompasses classical elastoplasticity with a single smooth yield surface, as well as multi-mode plasticity with many internal mechanisms of inelastic deformation which give the yield-surface vertex effe

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Post-Critical Plastic Deformation Pattern in Incrementally Nonlinear Materials at Finite Strain, the critical instant of ellipticity loss under isothermal, quasistatic loading. The energy criterion of path instability applied to a family of post-critical solutions eliminates unstable deformation paths and enforces the return to the elliptic regime or its boundary. In that way an automatic bran

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Material Instabilities in Elastic and Plastic Solids978-3-7091-2562-5Series ISSN 0254-1971 Series E-ISSN 2309-3706

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