Dynamic Green's functions in anisotropic piezoelectric, thermoelastic and poroelastic solids

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Abstract

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 languageEnglish (US)
Pages (from-to)175-188
Number of pages14
JournalProceedings of The Royal Society of London, Series A: Mathematical and Physical Sciences
Volume447
Issue number1929
DOIs
StatePublished - 1994

All Science Journal Classification (ASJC) codes

  • Engineering(all)

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