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, the two-dimensional analysis of continuous casting of low carbon steel was presented, where the interaction between moved ingot, copper mould and transport rolls was modeled. And the Von Mises yield criterion was determined by the yield stress and the hardening modulus.
51 citations
TL;DR: The von Mises equivalent strain increment was derived for the case of large strain simple shear (torsion testing) as discussed by the authors, which is used, in conjunction with the Von Mises yield surface, to define the vonMises equivalent stress as well as the incremental work per unit volume.
Abstract: The von Mises equivalent strain increment is derived for the case of large strain simple shear (torsion testing). This is used, in conjunction with the von Mises yield surface, to define the von Mises equivalent stress as well as the incremental work per unit volume. Integration of the equivalent strain increment leads to the definition of the von Mises equivalent strain for torsion. The Hencky equivalent strain increment is derived from the Hencky strain defined as the logarithm of the semi major and minor axes of the strain ellipse. This is then used, via the incremental work, to derive the ‘Hencky equivalent stress’. In the Onaka approach, the numerical values of the principal strain increments were integrated without taking into account the continuous rotation of the strain ellipse. This invalid operation leads to an expression for the equivalent strain increment that cannot be applied to the large strains considered by Onaka. Using the correct increments of the Hencky strain, it is shown that the she...
51 citations
TL;DR: In this paper, the fatigue strength of adhesively bonded joints is analyzed using stress analysis and fracture mechanics, and the use of several threshold criteria is investigated, based on the principal stress provided good threshold prediction for small plastic deformation.
Abstract: In Part 2 of this paper, the fatigue strength of adhesively bonded joints is analysed using stress analysis and fracture mechanics. Composite lap strap joints are considered for this study. Substrates made of unidirectional and multidirectional composite laminates are bonded together using epoxy film adhesive. Non-linear stress and fracture analyses are performed in order to predict the strength of the joints in different hostile environmental conditions. The use of several threshold criteria is investigated. Criteria based on the principal stress provide good threshold prediction for small plastic deformation. The maximum principal strain, von Mises strain, shear stress and von Mises stress predict with good accuracy the fatigue thresholds of the joints that undergo large plasticity. The plastic zone size does not show correlation at the fatigue threshold load in the different joint types. Furthermore, elastic and elasto-plastic fracture parameters are calculated for two different inherent cracks. The first one is initiated at the adhesive/adherend interface, while the second is in the centre of the adhesive layer. The J-integral that accounts for plasticity and the elastic strain energy release rate have been shown to correlate with the threshold load for the different joints.
51 citations
TL;DR: In this paper, a time and deformation rate dependent von Mises form yield function is proposed to represent the thixotropic and plastic characterisitcs, combined with a non-linear viscoelastic constitutive equation.
Abstract: Suspensions of small particles in polymer melts exhibit a time-dependent thixotropic responses. Previous theories of the behavior of such systems while including the capability of predicting non-Newtonian viscosities, normal stresses and yield values (indicating stresses below which there is no flow), have not treated thixotropy. Such a theory is presented here. A time and deformation rate dependent von Mises form yield function is proposed to represent the thixotropic and plastic characterisitcs. This is combined with a non-linear viscoelastic constitutive equation. The theory is compared with experimental data for carbon black and calcium carbonate filled polystyrene melts. Reasonably good agreement is obtained with both transient and steady-state experiments.
51 citations
TL;DR: In this paper, the effects of three different plate boundary constraints on the residual stress field and deformation are investigated numerically during butt-joint welding in high-strength shipbuilding steel AH36 with temperature-depending material properties.
Abstract: Effects of three different plate boundary constraints on the residual stress field and deformation are investigated numerically during butt-joint welding. For the numerical solution of the heat transfer equations, the finite element method is used to predict the temperature profile as well as residual stress field due to three different plate boundary conditions. The distortion of the welded plate is modeled as a nonlinear problem in geometry and material, adopting a finite element solution based upon the thermo–elastic–plastic large deflection theory. High-strength shipbuilding steel AH36 with temperature-depending material properties and nonlinear stress–strain material properties (bilinear isotropic hardening option uses the von Mises yield criteria) are assumed for the numerical analysis. For verifying the results, the temperature profile is compared with the result obtained in a previous research. In the mechanical analysis, three different boundary conditions are applied. Effects of plate thickness, plate width, and mesh model on the residual stress with boundary constraint are studied.
51 citations