Journal ArticleDOI
A stress-based variational model for ductile porous materials
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TLDR
In this article, a new statically-based model of ductile porous materials having a von Mises matrix is proposed by means of a statical limit analysis procedure, which is based on Hill's variational principle for rigid plastic matrix.About:
This article is published in International Journal of Plasticity.The article was published on 2014-04-01. It has received 35 citations till now. The article focuses on the topics: von Mises yield criterion & Stress field.read more
Citations
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Void behaviors from low to high triaxialities: Transition from void collapse to void coalescence
Z.G. Liu,W.H. Wong,Tianfu Guo +2 more
TL;DR: In this article, the critical strain-to-onset of void collapse and void coalescence via homogenization-based micromechanics analyses are established by examining the energetics of a voided unit cell throughout its loading history.
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An elastoviscoplastic model for porous single crystals at finite strains and its assessment based on unit cell simulations
TL;DR: In this article, an elastoviscoplastic model is formulated at finite strains for porous single crystals, and the model is assessed through three-dimensional unit cell finite element simulations based on periodic homogenisation and loading paths with prescribed constant stress triaxiality.
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Micromechanics of elastoplastic porous polycrystals: theory, algorithm, and application to osteonal bone
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Macroscopic criterion for ductile porous materials based on a statically admissible microscopic stress field
TL;DR: In this paper, the authors proposed a macroscopic criterion of porous ductile materials with von Mises type matrix using the stress variational homogenization (SVH) recently proposed by the authors.
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Approximate macroscopic yield criteria for Drucker-Prager type solids with spheroidal voids
TL;DR: In this article, the macroscopic yield criterion for ductile porous materials consisting of a pressure sensitive matrix and spheroidal voids was derived by carefully implementing an appropriate kinematical limit analysis with a relaxed plastic admissibility condition in an average sense.
References
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Book
The mathematical theory of plasticity
TL;DR: In this paper, the solution of two-dimensional non-steady motion problems in two dimensions is studied. But the solution is not a solution to the problem in three dimensions.
Journal ArticleDOI
Continuum Theory of Ductile Rupture by Void Nucleation and Growth: Part I—Yield Criteria and Flow Rules for Porous Ductile Media
Book
Convex analysis and variational problems
Ivar Ekeland,Roger Téman +1 more
TL;DR: In this article, the authors consider non-convex variational problems with a priori estimate in convex programming and show that they can be solved by the minimax theorem.
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.
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Influence of voids on shear band instabilities under plane strain conditions
TL;DR: In this paper, the effect of microscopic voids on the failure mechanism of a ductile material is investigated by considering an elastic-plastic medium containing a boubly periodic array of circular cylindrical voids.