Topic
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 probabilistic yield surface is proposed for polycrystals with anisotropic elastic constitutive behavior, which makes use of the average and the standard deviation of the resolved shear stress on the different slip systems within a given crystalline orientation.
89 citations
TL;DR: In this article, the Matsuoka-Nakai (SMP) criterion is introduced as a failure criterion for granular materials (J1, J2 and J3): the first, second and third effective stress invariants).
88 citations
TL;DR: In this paper, a nonlinear kinematic hardening rule is developed within the framework of thermodynamic principles, which shows a combined form of the Frederick and Armstrong backstress evolution equation, Phillips evolution equation and Chaboche series rule.
88 citations
TL;DR: In this paper, a multidimensional analogue of the von Mises statistic is considered for the case of sampling from a multi-dimensional uniform distribution and the limiting distribution of the statistic is shown to be that of a weighted sum of independent chi-square random variables with one degree of freedom.
Abstract: A multidimensional analogue of the von Mises statistic is considered for the case of sampling from a multidimensional uniform distribution The limiting distribution of the statistic is shown to be that of a weighted sum of independent chi-square random variables with one degree of freedom The weights are the eigenvalues of a positive definite symmetric function A modified statistic of the von Mises type useful in setting up a two sample test is shown to have the same limiting distribution under the null hypothesis (both samples come from the same population with a continuous distribution function) as that of the one-dimensional von Mises statistic We call the statistics mentioned above von Mises statistics because they are modifications of the $\omega^2$ criterion considered by von Mises [5] The paper makes use of elements of the theory of stochastic processes
88 citations
TL;DR: In this paper, the authors investigated the contact stress and bending stress of a helical gear set with localized bearing contact, by means of finite element analysis (FEA), and demonstrated the influences of the gear's design parameters and the contact positions on the stress distribution.
88 citations