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Structural bifurcation for ductile necking localization
Authors:Shigenobu Okazawa
Institution:Department of Social and Environmental Engineering, Hiroshima University, Higashi-Hiroshima, Hiroshima 739-8527, Japan
Abstract:Necking localization is common unstable behavior in ductile solids. This paper describes the unified necking localization mechanism. After describing one-dimensional instability problem, general material and structural instability criteria are formulated and the formulation is validated by non-linear finite element analysis. The trigger of necking localization is structural bifurcation and the behavior from a uniformly deformed state to ultimate localization just before fracture is continuous structural instability.
Keywords:Stability  Bifurcation  Necking localization  Plasticity  Non-linear finite element method  Ductile solid
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