Abstract
In this work, we present a reciprocal theorem of linear elastodynamics derived in terms of velocities instead of displacements, which seems to be better suited in relating two different elastodynamic states of an elastic region for several reasons that will be discussed latter on. As with the conventional displacement integral equation representation, using this alternative reciprocal theorem we can produce a velocity integral equation representation and then formulate a novel numerical approximation based on the boundary element method (BEM). Furthermore, a thorough stability performance analysis of the formulations arise utilizing displacement and/or velocity reciprocal theorems is presented.
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