A boundary element formulation for analysis of elastoplastic plates with geometrical nonlinearity

Abstract

In this paper a new boundary element method formulation for elastoplastic analysis of plates with geometrical nonlinearities is presented. The von Mises criterion with linear isotropic hardening is considered to evaluate the plastic zone. Large deflections are assumed but within the context of small strain. To derive the boundary integral equations the von Kármán's hypothesis is taken into account. An initial stress field is applied to correct the true stresses according to the adopted criterion. Isoparametric linear elements are used to approximate the boundary unknown values while triangular internal cells with linear shape function are adopted to evaluate the domain value influences. The nonlinear system of equations is solved by using an implicit scheme together with the consistent tangent operator derived along the paper. Numerical examples are presented to demonstrate the accuracy and the validity of the proposed formulation.

Análise não linear de chapas através de uma formulação do método dos elementos de contorno com convergência quadrática

“…Portanto, para obtenção da solução não-linear, deve-se discretizar o contorno em elementos e o domínio em células. Diversos trabalhos já publicados tratam de análise de placas através do MEC, podendo citar [2], [3] [5], [7], [8], [11] e [14]. Alguns desses trabalhos tratam sobre o problema de flexão de placas, outros sobre o problema bidimensional ou do acoplamento entre esses dois problemas, a fim de se fazer análise de flexão composta de placas.…”