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 coupled nonlocal damage model through phase field method and viscoplasticity in continuum scale is developed in order to capture the inelastic behavior of the rate dependent material.
29 citations
25 Mar 2003-Materials Science and Engineering A-structural Materials Properties Microstructure and Processing
TL;DR: In this article, a new anisotropic yield criterion is proposed, which is based on the uniaxial and equibiaxial tensions in the rolling, transverse and diagonal directions.
Abstract: Due to the limitations of commonly used anisotropic yield criteria, a new anisotropic yield criterion is proposed. The yield criterion fully satisfies anisotropic presentations under the uniaxial and equibiaxial tensions in the rolling, transverse and diagonal directions and is very close to other directions against the rolling. All these experimental data can be fitted independently. So-called “anomalous behavior” phenomenon does not exist in applications of this yield criterion. The yield criterion can also be transformed back to the Mises's yield criterion while the applied materials are isotropic.
29 citations
TL;DR: Li et al. as mentioned in this paper developed asymptotic crack-tip stress fields accounting for constraint effects for a stationary plane strain crack under mode-I, mode-II or mixed-mode I/II loading.
Abstract: Asymptotic crack-tip stress fields accounting for constraint effects are developed for a stationary plane strain crack under mode-I, mode-II or mixed-mode I/II loading. The mixed-mode loading is considered only within small-scale yielding. Materials are taken into account in incompressible, elastic-perfectly plastic materials, and plastic deformation of materials obeys von Mises yield criterion. This investigation is an extension of the solution obtained by Li and Hancock [Li, J., Hancock, J.W., 1999. Mode I and mixed mode fields with incomplete crack tip plasticity. International Journal of Solids and Structures 36 (5), 711–725] with special attention on what constraint parameters existed in the elastic-plastic crack-tip fields. Results indicate that the asymptotic crack-tip field is a 4-sector solution for mode-I cracks and a 6-sector solution for mixed-mode cracks, and is comprised of plastic sectors and elastic sector(s), and contain two undetermined parameters Tp and Tπ which are hydrostatic stresses ahead of the crack tip and on the crack flank, respectively. When Tp and Tπ vanish, the present elastic-plastic crack-tip field reduces to the fully plastic Prandtl slip-line field. Comparison shows that the asymptotic crack-tip stress fields can precisely match with elastic-plastic finite element results over all angles around a crack tip for various fracture specimens with constraint levels from high to low. The magnitudes of Tp and Tπ determine the level of crack-tip constraint in plastic sectors and in elastic sector, respectively, due to geometric and loading configurations or mode mixity. Thus the parameters Tp and Tπ can be used as constraint parameters to effectively characterize the entire crack-tip field in elastic-perfectly plastic materials under the plane strain conditions.
29 citations
TL;DR: In this paper, an incremental constitutive relation for uncoupled thermoelastic-plastic and creep deformations is presented consistent with a Lagrangian displacement formulation, and a nonisothermal von Mises yield function and its associated flow rule are utilized, together with both isotropic and kinematic hardening rules.
Abstract: Consistent with a Lagrangian displacement formulation, an incremental constitutive relation for uncoupled thermoelastic-plastic and creep deformations is presented. The nonisothermal von Mises yield function and its associated flow rule are utilized, together with both isotropic and kinematic hardening rules. Steady-state creep deformations are considered using Norton-Odqvist's power law. This development is particularly applicable to the nonlinear finite element analysis of three-dimensional structures with timeand temperature-dependent material properties. Using a nonlinear general-purpose computer program which has been developed on the basis of this formulation, a number of numerical examples are solved and the results compared with the closed-form solutions.
29 citations
TL;DR: In this paper, a constitutive model for the stress-strain-time behavior of cohesive soils is developed using Cam-clay plasticity theory extended to include time-dependent effects.
Abstract: A constitutive model for the stress‐strain‐time behavior of cohesive soils is developed using Cam‐clay plasticity theory extended to include time‐dependent effects. The model adopts the concept of separating the total deformation into immediate and delayed components. The immediate plastic deformation is evaluated by employing the associative flow rule on each of two distinct yield surfaces defined by the ellipsoid of the modified Cam‐clay theory and the Von Mises cylinder inscribed in the Cam‐clay ellipsoid. The delayed component of deformation is evaluated by employing the normality rule on equivalent ellipsoidal and cylindrical yield surfaces associated with the current state of stress of the soil and forcing the resulting creep strain rate tensor to satisfy phenomenological creep laws. In a companion paper by the same writers, the resulting constitutive equation is shown to predict the stress‐strain‐time behavior of wet clays more accurately than an earlier version based on a single‐yield‐surface form...
29 citations