Eduardo N. Dvorkin

A Vlasov beam element

Abstract A finite element for the analysis of thin-walled open section beam structures is presented. The element is based on Vlasovs beam theory. In linear analyses the element is very effective since it does not require the use of numerical integration and only one element can exactly model simple cases of nonuniform torsion.

On the modeling of shear bands formation in J2 materials with damage evolution

Purpose – The purpose of this paper is to model the strain localization in J2 materials with damage evolution using embedded strong discontinuity modes.Design/methodology/approach – In this procedure, an heuristic bandwidth scale is adopted to model the damage evolution in the shear bands. The bifurcation triggering conditions and band growth directions are studied for these materials.Findings – The resulting formulation does not require a specific mesh refinement to model a localization, provides mesh independent results also insensitive to element distortions and allows calibration of the model response using experimental data. The formulation capability is shown embedding the strong discontinuity modes into quadrilateral and higher order elements.Originality/value – The work described in this paper extends the use of strong discontinuity modes to materials with damage evolution.