TY - JOUR
T1 - Explicit expressions of the generalized Barnett-Lothe tensors for anisotropic piezoelectric materials
AU - Kah Soh, Ai
AU - Liu, Jin xi
AU - Fang, Dai ning
PY - 2001/11
Y1 - 2001/11
N2 - Similar to the case of two-dimensional anisotropic elasticity, the three generalized Barnett-Lothe tensors L, S and H, are frequently encountered in the extended Stroh formalism of two-dimensional deformations of anisotropic piezoelectric materials. Due to its implicitness, the extended Stroh formalism cannot be easily employed to obtain the tensors L, S and H in an explicit form. In this paper, explicit expressions of these generalized tensors for anisotropic piezoelectric media are obtained using the modified Lekhinitskii formalism for piezoelectricity. As an example, the explicit expressions for L, S and H of transversely isotropic piezoelectric materials are presented.
AB - Similar to the case of two-dimensional anisotropic elasticity, the three generalized Barnett-Lothe tensors L, S and H, are frequently encountered in the extended Stroh formalism of two-dimensional deformations of anisotropic piezoelectric materials. Due to its implicitness, the extended Stroh formalism cannot be easily employed to obtain the tensors L, S and H in an explicit form. In this paper, explicit expressions of these generalized tensors for anisotropic piezoelectric media are obtained using the modified Lekhinitskii formalism for piezoelectricity. As an example, the explicit expressions for L, S and H of transversely isotropic piezoelectric materials are presented.
KW - Anisotropic piezoelectricity
KW - Barnett-Lothe tensors
KW - Lekhinitskii formalism
KW - Stroh formalism
UR - http://www.scopus.com/inward/record.url?scp=0035502206&partnerID=8YFLogxK
U2 - 10.1016/S0020-7225(01)00018-0
DO - 10.1016/S0020-7225(01)00018-0
M3 - Article
AN - SCOPUS:0035502206
SN - 0020-7225
VL - 39
SP - 1803
EP - 1814
JO - International Journal of Engineering Science
JF - International Journal of Engineering Science
IS - 16
ER -