A procedure is described to generate fundamental solutions or Green's functions for time harmonic point forces and sources. The linearity of the field equations permits the Green's function to be represented as an integral over the surface of a unit sphere, where the integrand is the solution of a one-dimensional impulse response problem. The method is demonstrated for the theories of piezoelectricity, thermoelasticity, and poroelasticity. Time domain analogues are discussed and compared with known expressions for anisotropic elasticity.
|Original language||English (US)|
|Number of pages||14|
|Journal||Proceedings of The Royal Society of London, Series A: Mathematical and Physical Sciences|
|State||Published - 1994|
All Science Journal Classification (ASJC) codes