Macroscopic yield criteria for plastic anisotropic materials containing spheroidal voids
Reads0
Chats0
TLDR
In this article, the combined effects of void shape and matrix anisotropy on the macroscopic response of ductile porous solids are investigated, and the overall anisotropic yield criterion, a limit analysis approach is used.About:
This article is published in International Journal of Plasticity.The article was published on 2008-07-01 and is currently open access. It has received 214 citations till now. The article focuses on the topics: Hill yield criterion & von Mises yield criterion.read more
Figures
Fig. 1. The cell considered (a) prolate and (b) oblate spheroidal void embedded in a confocal spheroid relative to a Cartesian coordinate system (x1, x2, x3). 
Fig. 8. Comparison of different approximations of κ as function of e1 in the case of an oblate cavity and porosity f = 0.3. 
Fig. 9. Comparison of different approximations of η as function of e1 in the case of an oblate cavity and porosity f = 0.3. 
Fig. 10. Comparison of different approximations of ζ as function of e1 in the case of an oblate cavity and porosity f = 0.3. 
Fig. 2. Spheroidal coordinates of a prolate void 
Fig. 14. Comparison between isotropic and anisotropic yield locus for an oblate cavity, with b1/a1 = 5, porosity f = 0.1.
Citations
More filters
Journal ArticleDOI
Failure of metals I : brittle and ductile fracture
TL;DR: In this paper, the first overview of failure of metals is presented, focusing on brittle and ductile failure under monotonic loadings, where the focus is on linking microstructure, physical mechanisms and overall fracture properties.
Book ChapterDOI
Ductile Fracture by Void Growth to Coalescence
TL;DR: In this paper, the authors developed constitutive equations for porous ductile solids based on homogenization theory and developed the most widely known model for spherical and cylindrical voids.
An extended model for void growth and coalescence - application to anisotropic ductile fracture
TL;DR: In this paper, a model for the axisymmetric growth and coalescence of small internal voids in elastoplastic solids is proposed and assessed using void cell computations.
Journal ArticleDOI
Continuum Models of Ductile Fracture: A Review
TL;DR: In this paper, the authors present a review of the material constitutive equations and computational tools which have been recently developed to simulate ductile rupture and fracture, which are used in structural computations.
Journal ArticleDOI
Micromechanically-motivated phenomenological Hosford–Coulomb model for predicting ductile fracture initiation at low stress triaxialities
TL;DR: In this paper, a phenomenological fracture initiation model for metals is developed for predicting ductile fracture in industrial practice based on the assumption that the onset of fracture is imminent with the formation of a primary or secondary band of localization.
References
More filters
Journal ArticleDOI
Continuum Theory of Ductile Rupture by Void Nucleation and Growth: Part I—Yield Criteria and Flow Rules for Porous Ductile Media
Journal ArticleDOI
On the ductile enlargement of voids in triaxial stress fields
James R. Rice,D.M. Tracey +1 more
TL;DR: In this article, a variational principle is established to characterize the flow field in an elastically rigid and incompressible plastic material containing an internal void or voids, and an approximate Rayleigh-Ritz procedure is developed and applied to the enlargement of an isolated spherical void in a nonhardening material.
Journal ArticleDOI
A theory of the yielding and plastic flow of anisotropic metals
TL;DR: In this article, a theory is suggested which describes the yielding and plastic flow of an anisotropic metal on a macroscopic scale and associated relations are then found between the stress and strain-increment tensors.
Journal ArticleDOI
Analysis of the cup-cone fracture in a round tensile bar
Viggo Tvergaard,Alan Needleman +1 more
TL;DR: In this article, a set of elastic-plastic constitutive relations that account for the nucleation and growth of micro-voids is used to model the failure of a round tensile test specimen.