WIT Press


Velocity-based Boundary Integral Equation Formulation In The Time Domain

Price

Free (open access)

Paper DOI

10.2495/BE090241

Volume

49

Pages

10

Page Range

271 - 280

Published

2009

Size

412 kb

Author(s)

G. D. Manolis & C. G. Panagiotopoulos

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. Keywords: boundary elements, convolution integrals, transient elastodynamics, reciprocal theorems, velocities.

Keywords

boundary elements, convolution integrals, transient elastodynamics, reciprocal theorems, velocities