scispace - formally typeset
Search or ask a question
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.


Papers
More filters
Journal ArticleDOI
TL;DR: In this paper, a general framework for the numerical approximation of finite multiplicative plasticity is introduced, based on a fully implicit discretization in time which results in an iteratively evaluated stress response; the arising nonlinear problem is then solved by a Newton method where the linear subproblems are solved with a parallel multigrid method.
Abstract: We introduce a general framework for the numerical approximation of finite multiplicative plasticity. The method is based on a fully implicit discretization in time which results in an iteratively evaluated stress response; the arising nonlinear problem is then solved by a Newton method where the linear subproblems are solved with a parallel multigrid method. The procedure is applied to models with different elastic free energy functionals and a plastic flow rule of von Mises type. In addition these models are compared to a recently derived frame indifferent approximation of finite multiplicative plasticity valid for small elastic strains which leads to linear balance equations. Rate independent and rate dependent realizations of the former models are considered. We demonstrate by various 3D simulations that the choice of the elastic free energy is not essential (for material parameters representative for metals) and that the new model gives the same response quantitatively and qualitatively as the standard models.

39 citations

Journal ArticleDOI
TL;DR: In this article, complete solutions to the displacement, stress and strain fields, plastic zone size and misfit energy are calculated for an isotropic misfitting spherical precipitate under the assumptions of von Mises' yield criterion and incremental plasticity.
Abstract: Complete solutions to the displacement, stress and strain fields, plastic zone size and misfit energy are calculated for an isotropic misfitting spherical precipitate under the assumptions of von Mises’ yield criterion and incremental plasticity. Analytical solutions are obtained for the case of linear strain hardening while a numerical technique is necessary for the case of power-law hardening. Large changes in the stress field in the regions surrounding the precipitate are observed when contrasted with the elastic state. The energy of the relaxed state is found to be a strong function of the strain-hardening parameter as is the plastic work done during the relaxation process. The plastic zone size, however, is not strongly dependent upon the strain-hardening parameter and for a homogeneous precipitate is independent of it.

38 citations

Journal ArticleDOI
TL;DR: In this article, the influence of biaxial loading on plastic zone size and crack opening displacement has been examined, and the theoretical predictions are supported by a limited amount of experimental data.

38 citations

Journal ArticleDOI
TL;DR: In this article, a new formula was proposed to take into account phase differences in the determination of an equivalent von Mises stress power spectral density (PSD) from multiple random inputs.

38 citations

Journal ArticleDOI
TL;DR: In this paper, the authors derived closed-form expressions of approximate criteria for ductile porous materials whose plastically compressible matrix obeys to an elliptic criterion, based on limit analysis of a hollow sphere subjected to a uniform strain rate boundary conditions.

38 citations


Network Information
Related Topics (5)
Finite element method
178.6K papers, 3M citations
83% related
Ultimate tensile strength
129.2K papers, 2.1M citations
81% related
Composite number
103.4K papers, 1.2M citations
79% related
Fracture mechanics
58.3K papers, 1.3M citations
78% related
Numerical analysis
52.2K papers, 1.2M citations
73% related
Performance
Metrics
No. of papers in the topic in previous years
YearPapers
2023319
2022722
2021216
2020226
2019173
2018162