A fast BEM model for 3D elastic structures with attached piezoelectric sensors

A fast boundary element model for the analysis of three-dimensional solids withcracks and adhesively bonded piezoelectric patches, used as strain sensors, is presented. Thepiezoelectric sensors, as well as the adhesive layer, are modeled using a 3D state space finiteelement approach. The piezoelectric patch model is formulated taking into account the fullelectro-mechanical coupling and embodying the suitable boundary conditions and it is eventuallyexpressed in terms of the interface variables, to allow a straightforward coupling with theunderlying host structure, which is modeled through a 3D dual boundary element method, foraccurate analysis of cracks. The technique is computationally enhanced, in terms of memorystorage and solution time, using the hierarchical format in conjunction with a GMRES solver.The presented work is a step towards modeling of structural health monitoring systems.