Some Exact and Approximate Solutions for the Modified von Mises Yield Criterion

Abstract

The effects of Strength Differential (SD) and plastic compressibility for materials obeying the modified von Mises yield criterion were exemplified by solving two boundary-value problems. The assumptions of associated plasticity (leading to maximum plastic volume increase) and nonassociated plasticity (leading to zero plastic volume increase) were used for comparative studies on the effects of plastic compressibility. The solutions for compression processes showed that SD effects increased the pressure at initial yielding and at failure, as well as increased the capacity of the materials to withstand plastic deformations. The opposite was true for tension processes. For associated and nonassociated plasticity, upper and lower bounds for stresses and strains for load and stroke-controlled situations were indicated. The results also showed unrealistic restrictions on the Poisson’s ratio and C/T for nonassociated plasticity under certain conditions. Hence, plastic volume increase, although small, should be incorporated into a more realistic plasticity model.

A Nonlinear Kinematic Hardening Model for Elastoplastic Deformations in Grey Cast Iron

“…Examples of yield surfaces that include the difference in aT and ac are the modified von Mises yield function, F 1 below (e.g., Lee, 1988) and the combination of F 1 , used in tension, with an ordinary von Mises yield surface, used in compression (Josefson and Hjelm, 1992).…”

The influence of operation parameters on stress of plate-fin structures in LNG heat exchanger

“…In order to ensure the structural safety of plate-fin structures in actual operation process, a criterion is needed to evaluate whether the stress of plate-fin structures is more than the yield limit or not. The Von Mises yield criterion (Lee, 1988) is the fundamental criterion to judge whether the plastic yield failure occurs in plate-fin structures or not. According to the Von Mises yield criterion, the yield failure of plate-fin structures is mainly caused by the deviator strain energy.…”

Criteria for Yielding or Failure of Cellular Materials

“…where " ¼ Ã = s is the relative density of the foam. Notice the difference between Equation ( 39) for foams that fail by plastic collapse and Equation (31) for foams that fail by brittle fracture. In the m À e plane, the yield curve is a combination of two parabolas with vertices at e ¼ AE y .…”

“…When C ¼ T, Equation ( 55) reduces to the well-known von Mises' criterion. Lee [31] and Lee and Oung [32] also used this model. Equation ( 55) can be rewritten as…”