The analytic solution of near-tip stress fields for perfectly plastic pressure-sensitive material under plane stress condition
TLDR
In this paper, the analytic solutions of plane-stress mode I perfectly-plastic near-tip stress fields for pressuresensitive materials are derived. And the effects of material pressure sensitivity on the near tip fields are discussed.Abstract:
Different from dense metals, many engineering materials exhibit pressure-sensitive yielding and plastic volumetric deformation. Adopting a yield criterion that contains a linear combination of the Mises stress and the hydrostatic stress, the analytic solutions of plane-stress mode I perfectly-plastic near-tip stress fields for pressuresensitive materials are derived. Also, the relevant characteristic fields are presented. This perfectly plastic solution, containing a pressure sensitivity parameter μ, is shown to correspond to the limit of low-hardening solutions, and when μ=0 it reduces to the perfectly plastic solution of near-tip fields for the Mises material given by Hutchinson [1]. The effects of material pressure sensitivity on the near-tip fields are discussed.read more
Citations
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Mode I crack propagation in elastic-plastic pressure-sensitive materials
Davide Bigoni,Enrico Radi +1 more
TL;DR: In this article, a steady-state, quasi-static crack propagation for elastoplastic pressure-sensitive solids is analyzed for the case of linear-isotropic hardening, under plane stress and plane strain conditions.
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Asymptotic fields of mode I steady-state crack propagation in non-associative elastoplastic solids
Enrico Radi,Davide Bigoni +1 more
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Asymptotic crack tip fields for pressure-sensitive materials and dynamic crack growth under plane stress conditions
K.P. Herrmann,B. Potthast +1 more
TL;DR: In this article, a generalization of the von Mises yield criterion is used to investigate the crack tip fields of pressure-sensitive materials like porous metals and certain polymers, which leads to the so-called Drucker-Prager yield criterion.
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Asymptotic analysis for temperature fields induced by dynamic crack growth in pressure-sensitive materials
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TL;DR: In this article, the asymptotic temperature crack tip fields for fast running cracks in an elastic-plastic and particularly pressure-sensitive material are determined, and the authors show that a large portion of the work of inelastic deformation near the crack tip is dissipated as heat.
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