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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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Journal ArticleDOI
TL;DR: In this paper, a new material-independent solution of the necking problem was derived, achieving an error level less than half that obtainable with the Bridgman method, which is very simple to be used because does not require the experimental efforts intrinsic in the use of the BRP method.

164 citations

Journal ArticleDOI
TL;DR: In this paper, a new formulation for elastic-perfectly plastic contact in the normal direction between two round surfaces that is solely based on material properties and contact geometries is developed.

162 citations

Journal ArticleDOI
TL;DR: In this paper, a comparative study of four coalescence criteria is conducted: a critical value of the damage parameter, the Brown and Embury criterion, the Thomason criterion and a criterion based on the reaching of the maximum von Mises equivalent stress in a Gurson type simulation.

158 citations

Journal ArticleDOI
TL;DR: In this article, a fracture criterion is expressed in terms of the equivalent failure strain as a function of the stress triaxiality and the Lode angle (or the third invariant of the deviatoric stress deviator) and this function is calibrated for a DH36 steel plate.
Abstract: The main purpose of this paper is to demonstrate that besides the stress triaxiality parameter, the Lode angle, which can be related to the third invariant of the deviatoric stress tensor, also has an important effect on ductile fracture. This is achieved by conducting a series of micromechanics analyses of void-containing unit cells and experimental-numerical studies of carefully designed specimens experiencing a wide range of stress states. As a result, a fracture criterion is expressed in terms of the equivalent failure strain as a function of the stress triaxiality and the Lode angle (or the third invariant of the stress deviator) and this function is calibrated for a DH36 steel plate.

157 citations

Journal ArticleDOI
TL;DR: In this paper, the authors focus on a model in which shear localization is initiated through shear heating and use linear Maxwell viscoelastic with von Mises plasticity and an exponential dependence of viscosity on temperature.
Abstract: [1] Shear localization is a process of primary importance for the onset of subduction and the evolution of plate tectonics on Earth. In this paper we focus on a model in which shear localization is initiated through shear heating. The rheology employed is linear Maxwell viscoelastic with von Mises plasticity and an exponential dependence of viscosity on temperature. Dimensional analysis reveals that four nondimensional (0-D) parameters control the initiation of shear zones. The onset of shear localization is systematically studied with 0-D, 1-D, and 2-D numerical models, both under constant stress and under constant velocity boundary conditions. Mechanical phase diagrams demonstrate that six deformation modes exist under constant velocity boundary conditions. A constant stress boundary condition, on the other hand, exhibits only two deformation modes (localization or no localization). Scaling laws for the growth rate of temperature are computed for all deformation modes. Numerical and analytical solutions demonstrate that diffusion of heat may inhibit localization. Initial heterogeneities are required to initiate localization. The derived scaling laws are applied to Earth-like parameters. For a given heterogeneity size, stable (nonseismic) localization only occurs for a certain range of effective viscosities. Localization is inhibited if viscosity is smaller then a minimum threshold, which is a function of the heterogeneity size. The simplified rheological model is compared with a more realistic and more complex model of olivine that takes diffusion, power law, and Peierls creep into account. Good agreement exists between the models. The simplified model proposed in this study thus reproduces the main physics of ductile faulting. Two-dimensional late stage simulations of lithospheric-scale shear localization are presented that confirm the findings of the initial stage analysis.

157 citations


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