Penny-shaped and half-plane cracks in a transversely isotropic piezoelectric solid under arbitrary loading

被引：23

作者：

Karapetian, E ^{[1
]}

Sevostianov, I ^{[1
]}

Kachanov, M ^{[1
]}

机构：

[1] Tufts Univ, Dept Mech Engn, Medford, MA 02155 USA

来源：

ARCHIVE OF APPLIED MECHANICS | 2000年 / 70卷 / 1-3期

关键词：

crack; piezoelectric material; transverse isotropy; stress intensity factor;

D O I：

10.1007/s004199900060

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The problem of a penny-shaped crack in a transversely isotropic piezoelectric material loaded by both normal and tangential tractions and by electric charges is analyzed. Closed-form solutions are obtained for the full electroelastic fields as well as for the stress and electric displacement intensity factors. Solutions are also obtained for the (non-trivial) limiting case of a half-plane crack. The results are illustrated on the example of piezoceramics PZT-6B.

引用

页码：201 / 229

页数：29

共 19 条

[1] Fundamental solution for a penny-shaped crack in a piezoelectric medium
Chen, WQ
Shioya, T
[J]. JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 1999, 47 (07) : 1459 - 1475
[2] Ding HJ, 1996, INT J SOLIDS STRUCT, V33, P2283, DOI 10.1016/0020-7683(95)00152-2
[3] Fabrikant V.I., 1991, Mixed Boundary Value Problems of Potential Theory and their Applications in Engineering
[4] HALF-PLANE CRACK UNDER NORMAL LOAD - COMPLETE SOLUTION
FABRIKANT, VI
RUBIN, BS
KARAPETIAN, EN
[J]. JOURNAL OF ENGINEERING MECHANICS, 1993, 119 (11) : 2238 - 2251
[5] A HALF-PLANE CRACK UNDER TANGENTIAL LOAD - A COMPLETE SOLUTION
FABRIKANT, VI
RUBIN, BS
KARAPETIAN, EN
[J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1995, 75 (07): : 523 - 534
[6] Fabrikant VI., 1989, APPL POTENTIAL THEOR
[7] Some observations on the potential functions for transverse isotropy in the presence of body forces
Hanson, MT
[J]. INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 1998, 35 (28-29) : 3793 - 3813
[8] Concentrated ring loadings in a full space or half space: Solutions for transverse isotropy and isotropy
Hanson, MT
Wang, Y
[J]. INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 1997, 34 (11) : 1379 - 1418
[9] A fracture criterion of a penny-shaped crack in transversely isotropic piezoelectric media
Huang, JH
[J]. INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 1997, 34 (20) : 2631 - 2644
[10] Three-dimensional interactions of a half-plane crack with point forces, dipoles and moments
Kachanov, M
Karapetian, E
[J]. INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 1997, 34 (31-32) : 4101 - 4125

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