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 article, a fully three-dimensional anisotropic elastic model for vascular tissue modelling is presented, where the underlying strain energy density function is assumed to additively decouple into volumetric and deviatoric contributions.
Abstract: A fully three-dimensional anisotropic elastic model for vascular tissue modelling is here presented. The underlying strain energy density function is assumed to additively decouple into volumetric and deviatoric contributions. A straightforward isotropic neo-Hooke-type law is used to model the deviatoric response of the ground substance, whereas a micro-structurally or rather micro-sphere-based approach will be employed to model the contribution and distribution of fibres within the biological tissue of interest. Anisotropy was introduced by means of the use of von Mises orientation distribution functions. Two different micro-mechanical approaches -- a, say phenomenological, exponential ansatz and a worm-like-chain-based formulation -- are applied to the micro-fibres and illustratively compared. The passage from micro-structural contributions to the macroscopic response is obtained by a computational homogenisation scheme, namely numerical integration over the surface of the individual micro-spheres. The algorithmic treatment of this integration is discussed in detail for the anisotropic problem at hand, so that several cubatures of the micro-sphere are tested in order to optimise the accuracy at reasonable computational cost. Moreover, the introduced material parameters are identified from simple tension tests on human coronary arterial tissue for the two micro-mechanical models investigated. Both approaches are able to recapture the experimental data. Based on the identified sets of parameters, we first discuss a homogeneous deformation in simple shear to evaluate the models' response at the micro-structural level. Later on, an artery-like two-layered tube subjected to internal pressure is simulated by making use of a non-linear finite element setting. This enables to obtain the micro- and macroscopic responses in an inhomogeneous deformation problem, namely a blood-vessel-representative boundary value problem. The effect of residual stresses is additionally included in the model by means of a multiplicative decomposition of the deformation gradient tensor which turns out to crucially affect the simulation results. (Less)
124 citations
TL;DR: In this article, a constitutive model for anisotropic continuum damage mechanics using finite strain plasticity is presented, where the von Mises yield criterion is modified to include the effects of damage through the use of elastic energy equivalence.
124 citations
TL;DR: In this article, the authors proposed fracture-based forming limit criteria for anisotropic materials in sheet metal forming to predict the sudden fracture in complicated forming processes, where the Lou-Huh ductile fracture criterion was modified using the Hill's 48 yield function instead of the von Mises isotropic yield function to account of the influence of anisotropy on the equivalent plastic strain at the onset of fracture.
124 citations
TL;DR: In this paper, the authors investigate the influence of directional mesh bias on the results of failure simulations performed with isotropic and anisotropic damage models and compare the performance of the two models under shear with restricted or free volume expansion.
123 citations
TL;DR: In this paper, the incremental formulation for the mean field homogenization of elasto-plastic composites is enriched by including second statistical moments of per-phase strain increment fields, thus combining two advantages.
122 citations