Numerical Modeling of Thin Plates under Perfectly Elastic-Plastic Behavior

Resumo

The plastic analysis has as basic foundation the physical non-linearity of the materials that compose the structural elements and its analysis is of paramount importance, especially with regard to project safety. Based on this, this work has an approach for two-dimensional área elements (plates), whose behavioral analysis starts from the creation of an algorithm that uses Finite Element Methods for discretization and calculation of the variables of interest for developed models. The study of plasticity of the material takes consideration the von Mises flow criterion (1913), determined by a function based on the second stress invariant for occurrence of plastic deformations, added to the definition that, in this work, physical behavior of the material takes into account the application of gradual loads to the element under analysis takes a material from a totally elastic regime to a perfectly plastic. The reliability of the results is measured according to the submission of models identical to those developed in the code within a commercial software, Abaqus/Standard, which also takes as basis of calculation the analysis by finite elements, verifying the precision of the results coming from the algorithm developed at the end of this stage.