ANALYSIS OF ELASTOPLASTIC REISSNER'S PLATES USING THE BOUNDARY ELEMENT METHOD
Sergio Rafael C. Oliveira1; Vânia J. Karam2
1 Instituto Federal Fluminense; 2 Universidade Estadual do Norte Fluminense Darcy Ribeiro
doi:10.20906/CPS/CILAMCE2017-1331
Resumo
This work presents a formulation for elastoplastic analysis of plate bending using the Boundary Element Method (BEM). Reissner's theory is considered, which is valid for both thin and thick plates, admitting the occurrence of plastic strains only by flexure. The classical theory of plasticity is considered with an initial strain procedure, and the yield criterion of von Mises is used. Integral equations are presented for displacements at internal and boundary points and for moments and shear forces at internal points. The expressions for the new tensors which multiply the plastic strains and free terms are also presented. The numerical implementation is done by using discretized integral equations, employing quadratic boundary elements and constant internal cells, both with linear geometry. It is used an incremental-iterative process to solve the system of equations that governs the elastoplastic problem. Some numerical examples are presented in the end of the work to illustrate the applicability of the formulation. The results are validated by comparing them with results of other researches, obtained from numerical and analytical methods.
Palavras-chave: Boundary element method; Reissner's theory; elastoplastic analysis; plate bending