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.

Shear and tensile thermomechanical behavior of near equiatomic NiTi alloy

Abstract: The industrial development of devices using the intriguing properties of shape memory alloys involves accurate prediction of their thermomechanical behavior. This may be achieved using Computer Aided Design together with Finite Element programs. Reliable constitutive laws are needed for the execution of such programs. Several tensorial constitutive laws have been proposed to model the unusual thermomechanical properties of shape memory alloys. However, for all these tensorial models, it is necessary to make assumptions which cannot be verified when only tensile property data are available. The purpose of this paper is to present a new set of experimental mechanical data, including tensile and simple shear tests performed on sheet samples of near equiatomic NiTi alloy. Both mechanical behaviors are compared for a large temperature range (from below Mf to above Af). It is shown that the von Mises assumptions usually made in the establishment of tensorial constitutive equations are not always valid. Other yield locus forms are proposed to model the typical tension and simple shear thermomechanical behavior of shape memory alloys.

On the Combined Effect of Pressure and Third Invariant on Yielding of Porous Solids With von Mises Matrix

Abstract: In this paper, a new plastic potential for porous solids with von Mises perfectly-plastic matrix containing spherical cavities is derived using a rigorous limit analysis approach. For stress-triaxialities different from 0 and ±∞, the dilatational response depends on the signs of the mean stress and the third invariant of the stress deviator. The classic Gurson potential is an upper-bound of the new criterion. A full-field dilatational viscoplastic Fast Fourier Transform (FFT)-based approach is also used to generate numerical gauge surfaces for the porous material. The numerical calculations confirm the new features of the dilatational response, namely: a very specific dependence with the signs of the mean stress and the third invariant that results in a lack of symmetry of the yield surface.

An experimental method to determine the complete stress-elongation relation for a structural adhesive layer loaded in peel

Abstract: An experimental method to determine the complete stress-elongation relation of a thin adhesive layer loaded in peel is presented. Experiments are performed on a DCB-specimen. Balance of the energetic forces is used to calculate the stress-elongation relation from experimental data. The calculation requires differentiation of the data, which puts great demands on the quality of data acquisition. The experiment is first simulated and random errors are added to simulate deficiencies in the experimental setup. These data are used to determine the required accuracy. Two sets of experimental results are presented and it is shown that a simple stress-elongation relation fits the data accurately. Elastic stiffness and fracture energy agrees favourably with independent measurements. An unexpected result is the low maximum strength of the adhesive. Independently performed uniaxil tension tests give the yield strength 30 MPa. Taking into consideration the constraint of the adhesive layer and using the von Mises yield criteria gives the expected yield strength 90 MPa. However, our tests give a maximum strength of about 20 MPa. This indicates that damage is a more important factor than plasticity for the peel properties of the adhesive layer.

Mixed-Film Lubrication Theory and Tension Effects on Metal Rolling Processes

Abstract: A cold rolling model, based on Wilson and Chang's asperity flattening model and von Mises homogenous deformation model, for mixed film lubrication is developed. A more rigorous average Reynolds equation is used to calculate the hydrodynamic pressure. The variations of the yield stress with strain are considered in the model. An efficient iteration procedure is developed to solve the contact area, film thickness, and hydrodynamic pressure. The model is more practical with fewer assumptions, and converges quickly. It is applicable to a wider range of rolling regimes, particularly at high rolling speed. The calculation results agree well with the literature as well as with measured data from a rolling mill.