Elastoplastic Analysis of Reinforced 2d Domains

In this paper a two-dimensional elastoplastic boundary element formulation is presented to analyse composite domains. The non-linear effects are assumed to develop only over the matrix material. In order to take into account the non-linear effects, the usual procedure based on the initial stress technique is adopted. The final non-linear system of equations is analysed by using explicit and implicit techniques. The internal values are approximated over isoparametric cells to perform the required domain integrals. The reinforcement used to define the composite is given by introducing internal bars, approximated by finite elements. The bar stiffnesses are then transferred to the 2D algebraic equations using the inclusion technique. The contact between matrix and the reinforced material is assumed without relative displacements, i.e. no debonding takes place. Numerical examples are shown to illustrate the accuracy and the stability of the developed algorithm, comparing the final numerical results with experimental ones.