STATIC AND DYNAMIC BOUNDARY-ELEMENT ANALYSIS IN INCOMPRESSIBLE LINEARELASTICITY

The boundary element formulation of incompressible, isotropic, linear elastostatics and frequency domain elastodynamics for the displacement s and hydrostatic pressure is presented. Both two-and three-dimensiona l problems are considered. It is proven that the incompressible fundam ental tensors can be obtained from the corresponding compressible ones by simply putting the Poisson ratio nu equal to 0.5 in elastostatics and the p-wavenumber ii, equal to zero in elastodynamics. The various kernels employed in a complete static or dynamic boundary element anal ysis for the compressible case are written in a modified form that per mits one to use already existing codes for compressible, incompressibl e or nearly incompressible cases without any problem. Numerical exampl es involving two-and three-dimensional problems under static and dynam ic conditions are presented. These examples serve to illustrate the me thod and demonstrate its high accuracy and efficiency. (C) Elsevier, P aris.