Using the known analytical Green's function for the displacements and stresses of a force-excited infinite, elastic, homogeneous solid the response of a finite body of arbitrary shape can be reconstructed. The response is obtained by applying to the infinite solid a distributed force excitation in the exterior and interior of a virtual closed surface which coincides with the surface of the targeted finite body. The role of such an excitation is to re-create across this surface the boundary conditions of the finite body. Such an approach permits one to obtain the response of the finite body under rather general excitation conditions. The latter may consist of a superposition of kinematic movements applied over one part of the body surface and the distributed force excitation within the body. The physical side of the boundary forming approach is discussed first, the corresponding mathematical procedure is then outlined and examples are provided to demonstrate its validity.
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