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On the onset of necking in the tensile test

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TLDR
In this paper, a very small inhomogeneity in macroscopic material properties is considered for the investigation of necking of a polycrystalline bar in the tensile test.
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This article is published in International Journal of Plasticity.The article was published on 2004-04-01. It has received 33 citations till now. The article focuses on the topics: Necking & Tensile testing.

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Revisiting the Considère criterion from the viewpoint of dislocation theory fundamentals

TL;DR: In this paper, the authors demonstrate that the Considere condition for plastic instability, which is traditionally obtained from solid mechanics considerations, also follows from the intrinsic evolution laws for dislocation density.
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Finite element analysis of tensile testing with emphasis on necking

TL;DR: In this paper, a finite element approach for analyzing tensile tests using the rigid-plastic finite element method is presented to predict the necking in the tensile test, a mechanically perfect, simple bar, finite element model is used and Hollomon's constitutive law is utilized to describe the stress-strain curve.
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What governs ductility of ultrafine-grained metals? A microstructure based approach to necking instability

TL;DR: In this paper, it was shown that the conditions for plastic instability also follow from linear stability analysis of the intrinsic evolution laws for the dislocation density, and that the strain rate sensitivity effect enters these conditions in a way different to the known Hart criterion.
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Prediction of ductile fracture in tension by bifurcation, localization, and imperfection analyses

TL;DR: In this paper, it is shown that the onset of ductile fracture in tension can be interpreted as the result of a supercritical bifurcation of homogeneous deformation and that this fact can be applied to predict ductile failure initiation of materials with general imperfections or flaws.
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Interrelation between the Portevin Le-Chatelier effect and necking in AlMg alloys

TL;DR: In this article, the effect of the Portevin Le-Chatelier (PLC) effect on the necking instability was studied in a binary and a precipitation-strengthened AlMg alloy using the digital image correlation (DIC) technique.
References
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Journal ArticleDOI

Theory of the tensile test

TL;DR: In this paper, the tensile test is re-examined with special attention to the influence of strain rate sensitivity of the flow stress, and explicit formulae are deduced for the measured variables of the test in terms of the phenomenological parameters of the material.
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Mechanical response and modeling of fully compacted nanocrystalline iron and copper

TL;DR: In this paper, a comprehensive study on the response of nanocrystalline iron and copper to quasi-static and dynamic loading is reported, which is based on the KHL model modified by incorporating Hall-Petch relation.
Journal ArticleDOI

Necking of a bar

TL;DR: In this article, the necking process of an axisymmetric tension specimen made of elastic-plastic, strain-hardening material is analyzed by a generalized J2-flow theory for large deformations.
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