TY - JOUR
T1 - Dynamic Green's functions in anisotropic piezoelectric, thermoelastic and poroelastic solids
AU - Norris, Andrew N.
PY - 1994
Y1 - 1994
N2 - 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.
AB - 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.
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U2 - 10.1098/rspa.1994.0134
DO - 10.1098/rspa.1994.0134
M3 - Article
AN - SCOPUS:0028768654
VL - 447
SP - 175
EP - 188
JO - Proceedings of The Royal Society of London, Series A: Mathematical and Physical Sciences
JF - Proceedings of The Royal Society of London, Series A: Mathematical and Physical Sciences
SN - 0080-4630
IS - 1929
ER -