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von Mises yield criterion

About: von Mises yield criterion is a research topic. Over the lifetime, 4374 publications have been published within this topic receiving 82642 citations. The topic is also known as: Von Mises stress.


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TL;DR: In this paper, a closed-form solution of the limit pressure is formulated as a function of the strain hardening exponent n, and an estimation of n from the T/Y ratio is developed as well.
Abstract: This paper analytically investigates the failure pressure of line pipes with or without corrosion defects, and focuses on the conditions under which the classic strength criteria are appropriate for predicting failure pressure. Based on finite strain theory, a plastic collapse model is presented for end-capped defect-free pipes in a power-law hardening material. A closedform solution of the limit pressure is thus formulated as a function of the strain hardening exponent n, and an estimation of n from the T/Y ratio is developed as well. This plastic instability solution is then extended to predict the failure pressure of corroded line pipes, and is validated using detailed finite element results and the PRCI experimental database. Results show that, when n approaches 0.2 or 0, which reflects the practical limits of a high or low hardening material, the plastic instability solution is coincident with that predicted by the Tresca or von Mises criterion, respectively.

23 citations

Journal ArticleDOI
TL;DR: In this paper, the authors presented a simulation study on the thermal phase transformation and residual stress in single-pulse EDM of Ti-6Al-4V, which is the most popular titanium alloy in fields such as aircraft engine and some other leading industries.
Abstract: The thermal phase transformation and residual stress are ineluctable in the electrical discharge machining (EDM) process, and they will greatly affect the working performances of the machined surface. This paper presents a simulation study on the thermal phase transformation and residual stress in single-pulse EDM of Ti–6Al–4V, which is the most popular titanium alloy in fields such as aircraft engine and some other leading industries. A multi-physics model including thermal, hydraulic, metallography and structural mechanics was developed. Based on the proposed model, the thickness and metallographic structure of the recast layer and heat affected layer (HAZ) were investigated. The distribution and characteristics of residual stress around the discharge crater were obtained. The recast layer and HAZ at the center of crater are found to be the thinnest, and their thicknesses gradually increase approaching the periphery of the crater. The recast layer undergoes a complete α' (martensitic) transformation, while the HAZ is mainly composed by the α + β + α' three-phase microstructure. Along the depth direction of crater, the Von Mises stress increases first and then decreases, reaching its maximal value near the interface of recast layer and HAZ. In the recast layer, both compressive stress component and tensile stress component are observed. ANOVA results showed that the influence of discharge current on maximal tensile stress is more significant than that of pulse duration, while the pulse duration has more significant influence on average thickness of the recast layer and the depth location of the maximal tensile stress. The works conducted in this study will help to evaluate the quality and integrity of EDMed surface, especially when the non-destructive testing is difficult to achieve.

23 citations

Journal ArticleDOI
TL;DR: In this article, the influence of the tool geometry on wrinkling behavior was analyzed in the deep drawing process of a cylindrical cup in AA5042 aluminium alloy through finite element simulation and experimental measurements, and the shape of the wrinkles predicted by the numerical model is strongly affected by the finite element mesh used in the blank discretization.
Abstract: The recent trend to reduce the thickness of metallic sheets used in forming processes strongly increases the likelihood of the occurrence of wrinkling Thus, in order to obtain defect-free components, the prediction of this kind of defect becomes extremely important in the tool design and selection of process parameters In this study, the sheet metal forming process proposed as a benchmark in the Numisheet 2014 conference is selected to analyse the influence of the tool geometry on wrinkling behaviour, as well as the reliability of the developed numerical model The side-wall wrinkling during the deep drawing process of a cylindrical cup in AA5042 aluminium alloy is investigated through finite element simulation and experimental measurements The material plastic anisotropy is modelled with an advanced yield criterion beyond the isotropic (von Mises) material behaviour The results show that the shape of the wrinkles predicted by the numerical model is strongly affected by the finite element mesh used in the blank discretization The accurate modelling of the plastic anisotropy of the aluminium alloy yields numerical results that are in good agreement with the experiments, particularly the shape and location of the wrinkles The predicted punch force evolution is strongly influenced by the friction coefficient used in the model Moreover, the two punch geometries provide drawn cups with different wrinkle waves, mainly differing in amplitude

23 citations

Journal ArticleDOI
TL;DR: In this article, an exact elasto-plastic analytical solution for a large-strained internal-pressurized, closed-end, elastic linear-hardening material is derived based on the notion of finite strains, the deformation theory of Hencky and the yield criterion of von Mises.

23 citations

Journal ArticleDOI
TL;DR: In this paper, the authors derived the Berry-Esseen results and expansions for the distribution function of von Mises functionals of order r under moment conditions and conditions on the smoothness of the limit distribution.
Abstract: Berry-Esseen results and expansions are derived for the distribution function of von Mises functionals of order r under moment conditions and conditions on the smoothness of the limit distribution. The results apply to goodness-of-fit statistics — as well as to the central limit theorem in L 2p,p≧2, the rate of convergence being O(n −1) for centered balls, provided a fourth moment exists.

23 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
2023319
2022722
2021216
2020226
2019173
2018162