TY - JOUR
T1 - An invariant treatment of interfacial discontinuities in piezoelectric media
AU - Chen, Tungyang
PY - 1993/1/1
Y1 - 1993/1/1
N2 - Interfacial discontinuities are examined in piezoelectric media of general anisotropy. The analysis relies on decomposing second-rank tensors at an interface into exterior and interior parts, and on decomposing first-rank tensors at an interface into normal and tangential parts. The solutions depend on three independent interfacial operators, one fourth-rank, one third-rank, and one second-rank tensors. By constructing appropriate augmented matrices, the topic can be treated systematically as that of uncoupled field equations. This leads to a concise organization of the solutions of inclusion and inhomogeneity problems. In applications exact results are given for the matrix interfacial quantities under uniform boundary conditions and/or under uniform transformation fields in the inclusion.
AB - Interfacial discontinuities are examined in piezoelectric media of general anisotropy. The analysis relies on decomposing second-rank tensors at an interface into exterior and interior parts, and on decomposing first-rank tensors at an interface into normal and tangential parts. The solutions depend on three independent interfacial operators, one fourth-rank, one third-rank, and one second-rank tensors. By constructing appropriate augmented matrices, the topic can be treated systematically as that of uncoupled field equations. This leads to a concise organization of the solutions of inclusion and inhomogeneity problems. In applications exact results are given for the matrix interfacial quantities under uniform boundary conditions and/or under uniform transformation fields in the inclusion.
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U2 - 10.1016/0020-7225(93)90114-A
DO - 10.1016/0020-7225(93)90114-A
M3 - Article
AN - SCOPUS:0027624521
SN - 0020-7225
VL - 31
SP - 1061
EP - 1072
JO - International Journal of Engineering Science
JF - International Journal of Engineering Science
IS - 7
ER -