Approximate models for ductile metals containing non-spherical voids -- case of axisymmetric prolate ellipsoidal cavities
type: Item
instance of: scholarly article
title: Approximate models for ductile metals containing non-spherical voids -- case of axisymmetric prolate ellipsoidal cavities
zbMATH Open document ID: 0796.73014
DOI: 10.1016/0022-5096(93)90029-F
author: Mihai Gologanu
author: Jean-Baptiste Leblond
author: Josette Devaux
published in: Journal of the Mechanics and Physics of Solids
publication date: 1994-05-03T00:00:00Z
review text: The classical Gurson analysis of a hollow rigid ideal-plastic sphere loaded axisymmetrically is extended to an ellipsoidal volume containing a confocal ellipsoidal (axisymmetric prolate) cavity. A two-field estimate of the overall yield criterion is presented and shown to be reducible, with a few approximations, to a Gurson-like criterion depending on the ``shape parameter'' of the cavity. This approach is used to derive an approximate evolution equation for shape parameter. Comparison with finite element simulations is also done.
Mathematics Subject Classification ID: 74C99
zbMATH DE Number: 549257
zbMATH Keywords: shape parameter
zbMATH Keywords: Gurson analysis
zbMATH Keywords: yield criterion
zbMATH Keywords: Gurson-like criterion
zbMATH Keywords: evolution equation
MaRDI profile type: Publication
cites work: Q3933949
cites work: Q3671491
cites work: The constitutive law of nonlinear viscous and porous materials
cites work: The effective mechanical properties of nonlinear isotropic composites
cites work: Variational Principles for Inhomogeneous Non-linear Media
cites work: Some simple explicit bounds for the overall behaviour of nonlinear composites
description: scientific article; zbMATH DE number 549257