TY - JOUR
T1 - Conducting cracks in dissimilar piezoelectric media
AU - Beom, H. G.
AU - Atluri, S. N.
N1 - Funding Information:
This work was supported by a grant from the Office of Naval Research, with Dr. Y. D. S. Rajapakse as the cognizant program official. The first author performed a part of this work at Center for Aerospace Research and Education, University of California at Los Angeles.
PY - 2002/12
Y1 - 2002/12
N2 - Complete stress and electric fields near the tip of a conducting crack between two dissimilar anisotropic piezoelectric media, are obtained in terms of two generalized bimaterial matrices proposed in this paper. It is shown that the general interfacial crack-tip field consists of two pairs of oscillatory singularities. New definitions of real-valued stress and electric field intensity factors are proposed. Exact solutions of the stress and electric fields for basic interface crack problems are obtained. An alternate form of the J integral is derived, and the mutual integral associated with the J integral is proposed. Closed form solutions of the stress and electric field intensity factors due to electromechanical loading and the singularities for a semi-infinite crack as well as for a finite crack at the interface between two dissimilar piezoelectric media, are also obtained by using the mutual integral.
AB - Complete stress and electric fields near the tip of a conducting crack between two dissimilar anisotropic piezoelectric media, are obtained in terms of two generalized bimaterial matrices proposed in this paper. It is shown that the general interfacial crack-tip field consists of two pairs of oscillatory singularities. New definitions of real-valued stress and electric field intensity factors are proposed. Exact solutions of the stress and electric fields for basic interface crack problems are obtained. An alternate form of the J integral is derived, and the mutual integral associated with the J integral is proposed. Closed form solutions of the stress and electric field intensity factors due to electromechanical loading and the singularities for a semi-infinite crack as well as for a finite crack at the interface between two dissimilar piezoelectric media, are also obtained by using the mutual integral.
KW - Analytic functions
KW - Conservation integrals
KW - Electromechanical fracture
UR - http://www.scopus.com/inward/record.url?scp=0038320160&partnerID=8YFLogxK
U2 - 10.1023/A:1023381215338
DO - 10.1023/A:1023381215338
M3 - Article
AN - SCOPUS:0038320160
SN - 0376-9429
VL - 118
SP - 285
EP - 301
JO - International Journal of Fracture
JF - International Journal of Fracture
IS - 4
ER -