Two-dimensional elastodynamics by the time-domain boundary element method: Lagrange interpolation strategy in time integration

This work presents a time-truncation scheme, based on the Lagrange interpolation polynomial, for the solution of two-dimensional elastodynamics by the time-domain boundary element method. The reduction in the number of assembled matrices, maintaining a compromise between accuracy and computational economy and efficiency, is the main purpose of the present work. In order to verify the accuracy of the proposed formulation, two examples are presented and discussed.