Abstract
In this study, the body force method is extended to the analysis of elastodynamic problems. By inserting the region in question into the adjoint region, an arbitrary elastodynamic problem can be reduced to the elastodynamic problem of an infinite body. The general integral formula is obtained based on superposition of the elastodynamic fields of a point force and a discrepancy in the time-space region. Therefore, the analysis of the given elastodynamic problem is reduced to the calculation of unknown densities of force or discrepancy distributed along the imaginary boundary. The direct or indirect methods of BEM can be regarded as special cases of the general formula proposed in this study. The effectiveness of the method is shown by analyzing an example of the elastodynamic problems of a half space subjected to uniform surface pressure.
