The time domain boundary element method for elastodynamic problems

A Laplace Transform Dual-Reciprocity Boundary Element Method for Axisymmetric Elastodynamic Problems

A dual-reciprocity boundary element method is presented for the numerical solution of a class of axisymmetric elastodynamic problems. The domain integrals that arise in the integrodifferential formulation are converted to line integrals by using the dual-reciprocity method together suitably constructed interpolating functions. The second order time derivatives of the displacement in the governi...

Time Domain Boundary Element Method for Room Acoustics

Boundary Element Method for Elasticity Problems

Another general numerical method has recently emerged that provides good computational abilities and has some particular advantages when compared to FEM. The technique known as the boundary element method (BEM) has been widely used by computational mechanics investigators leading to the development of many private and commercial codes. Similar to the finite element method, BEM can analyze many ...

Solidification Problems by the Boundary Element Method

This paper elaborates on the analysis and design of the solidification of pure metais. In the first part of this paper, a direct analysis is presented for the motion of the solid-Iiquid freezing interface and the time-dependent temperature field. An iterative implicit algorithm has been developed for this purpose using the boundary element method (BEM) with time dependent Green’s functions and ...

Time-Discontinuous Finite Element Analysis of Two-Dimensional Elastodynamic Problems using Complex Fourier Shape Functions

This paper reformulates a time-discontinuous finite element method (TD-FEM) based on a new class of shape functions, called complex Fourier hereafter, for solving two-dimensional elastodynamic problems. These shape functions, which are derived from their corresponding radial basis functions, have some advantages such as the satisfaction of exponential and trigonometric function fields in comple...