von Mises plasticity
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Computation of the Necking in Bars Without Geometrical Imperfection
Abstract: This paper presents a finite element analysis to compute the neck profiles of smooth, circular cylindrical bars in shear-free grip under uniaxial tensile load. The analysis uses 4-node quadrilateral element with linear displacement variation, as well as 8-node Serendipity quadrilateral element with curved sides and a quadratic variation of the displacement field, for power law hardening materials that follow von Mises plasticity. All the elements are based on isoparametric formulation. …
Published in International Journal of Fracture Mechanics and Damage Science · Vol. 2, Issue 2, 2024 · pp. 10–19 Read article