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Journal ArticleDOI

Strain localisation in biaxially stretched sheets containing compact defects—II: Analysis using a finite element model

P. Bate, +1 more
- 01 Jan 1984 - 
- Vol. 26, Iss: 5, pp 363-372
TLDR
In this article, the development of strain localisation in a biaxially stretched sheet of work hardening material which contains a regular array of axisymmetric defects has been analysed by the finite element method.
About
This article is published in International Journal of Mechanical Sciences.The article was published on 1984-01-01. It has received 11 citations till now. The article focuses on the topics: Work hardening.

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Citations
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Journal ArticleDOI

Finite element modeling simulation of in-plane forming limit diagrams of sheets containing finite defects

TL;DR: In this article, the authors used the Marciniak-kuczynski (M-K) results of finite element modeling (FEM) to predict forming limit diagrams (FLDs) of thin sheets based on two-dimensional (2-D) finite thickness defects.
Journal ArticleDOI

Application of a few necking criteria in predicting the forming limit of unwelded and tailor-welded blanks

TL;DR: In this article, the applicability of the few existing necking criteria, namely the effective strain rate based criterion (ESRC - RC1), major strain rate-based criterion (MSRC- RC2), thickness strain rate -RC3, and thickness gradient-based criteria (TGNC - RC4), in predicting the forming limit of unwelded and tailor-weilded blanks was analyzed.
Journal ArticleDOI

Estimation of forming limit diagrams by the use of the finite element method and Monte Carlo simulation

TL;DR: In this article, a stochastic finite element-based approach for forming limit calculations of sheets is proposed and evaluated, where material inhomogeneities are represented by spatial thickness variations of the sheet which are modelled by the use of random fields.
Journal ArticleDOI

Assessing the Validity of Original and Modified Failure Criteria to Predict the Forming Limit of Unwelded and Tailor Welded Blanks with Longitudinal Weld

TL;DR: In this article, the authors assess the validity of modified failure criteria proposed by Naik et al. and original failure criteria in predicting the forming limit of unwelded and tailor welded blanks (TWBs) with longitudinal weld, during stretching and drawing operations.
Journal ArticleDOI

On the directionality of strain localization when stretching aluminum alloy sheets in biaxial tension

TL;DR: In this article, the authors used the Taylor-Bishop and Hill (T-BH) theory of polycrystalline plasticity to predict the strain-state dependence of limit strains in biaxial stretching for real materials.
References
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Journal ArticleDOI

Limit strains in the processes of stretch-forming sheet metal

TL;DR: In this paper, a theoretical analysis of the process of the generation of the groove based on anisotropic plasticity theory is presented, and the system of equations derived was solved numerically with the aid of a computer, which enabled the limiting strain of the sheet metal to be determined as a function of the material.
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Finite element formulations for problems of large elastic-plastic deformation

TL;DR: In this article, an Eulerian finite element formulation for large elastic-plastic flow is presented, based on Hill's variational principle for incremental deformations, and is suited to isotropically hardening Prandtl-Reuss materials.
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Influence of the plastic properties of a material on the forming limit diagram for sheet metal in tension

TL;DR: In this article, the formation of a groove, which appears before fracture in sheet metal subject to tension, is presented, and is based on the assumption of initial nonhomogeneity of the material in order to facilitate the determination of the limit strain.
Journal ArticleDOI

Some basic principles in the mechanics of solids without a natural time

TL;DR: In this paper, tensor relations of type stress-rate component = ƒ (strain-rate components) where the functions ǫ, homogeneous of degree one in the components of strain-rate, can be non-linear and depend also on the current stress and entire strain-history are examined.
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A Criterion for ductile fracture in sheets under biaxial loading

TL;DR: In this article, a criterion for ductile fracture is developed based on the statistical process of shear joining of voids and on the assumption that the voids responsible for fracture have experienced considerable growth prior to this stage of shearing.
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