The Dual Reciprocity Method was introduced to avoid the time consuming evaluation of the domain integrals involved for elastostatics with body forces and for elastodynamic problems. The procedure was then extended to diffusion problems and plasticity. The method is essentially a generalised way of constructing particular solutions that can give rise to integral formulations without involving domain integrals. In the present paper, the Dual Reciprocity approach is used to solve the boundary integral equations involved in damage mechanics. The paper is divided mainly into two parts. The first part introduces the damage model examined. An analytical solution is obtained in order to check the numerical procedure. The second part presents the application of the Dual Reciprocity Boundary Element Method (DRBEM) to the damage model previously described. The expression of the particular displacement, strain and stress are obtained by the Galerkin vector approach and by introducing a suitable global shape function. Finally, some numerical results are presented in order to assess the efficiency of the method.
A BEM formulation for damage by the Dual Reciprocity Approach
MALLARDO, Vincenzo;
2004
Abstract
The Dual Reciprocity Method was introduced to avoid the time consuming evaluation of the domain integrals involved for elastostatics with body forces and for elastodynamic problems. The procedure was then extended to diffusion problems and plasticity. The method is essentially a generalised way of constructing particular solutions that can give rise to integral formulations without involving domain integrals. In the present paper, the Dual Reciprocity approach is used to solve the boundary integral equations involved in damage mechanics. The paper is divided mainly into two parts. The first part introduces the damage model examined. An analytical solution is obtained in order to check the numerical procedure. The second part presents the application of the Dual Reciprocity Boundary Element Method (DRBEM) to the damage model previously described. The expression of the particular displacement, strain and stress are obtained by the Galerkin vector approach and by introducing a suitable global shape function. Finally, some numerical results are presented in order to assess the efficiency of the method.I documenti in SFERA sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
