Piezothermoelastic analysis of a piezoelectric material with an elliptic cavity under uniform heat flow

被引:27
作者
Lu, P [1 ]
Tan, MJ
Liew, KM
机构
[1] Univ Sci & Technol China, Dept Modern Mech, Anhua 230026, Peoples R China
[2] Nanyang Technol Univ, Sch Mech & Prod Engn, Singapore 639798, Singapore
关键词
piezoelectric material; inclusion; thermal stress concentration; Stroh formalism;
D O I
10.1007/s004190050199
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
The problem of a two-dimensional piezoelectric material with an elliptic cavity under a uniform heat flow is discussed, based on the modified Stroh formalism for the piezothermoelastic problem. The exact electric boundary conditions at the rim of the hole are introduced in the analysis. Expressions for the elastic and electric variables induced within and outside the cavity are derived in closed form. Hoop stress around the hole and electric fields in the hole are obtained. The limit situation when the hole is reduced to a slit crack is discussed, and the intensity factors for the problem are obtained.
引用
收藏
页码:719 / 733
页数:15
相关论文
共 20 条
[1]   ON THE EXISTENCE PROBLEM FOR LOCALIZED ACOUSTIC-WAVES ON THE INTERFACE BETWEEN 2 PIEZOCRYSTALS [J].
ALSHITS, VI ;
BARNETT, DM ;
DARINSKII, AN .
WAVE MOTION, 1994, 20 (03) :233-244
[2]  
[Anonymous], 1963, INT J ENG SCI, DOI DOI 10.1016/0020-7225(63)90008-9
[3]   PLANE THERMAL STRESS AT AN INSULATED HOLE UNDER UNIFORM HEAT FLOW IN AN ORTHOTROPIC MEDIUM [J].
CHEN, WT .
JOURNAL OF APPLIED MECHANICS, 1967, 34 (01) :133-&
[4]   Diffusive surface instabilities induced by electromechanical loading [J].
Chien, NY ;
Gao, HJ ;
Herrmann, G ;
Barnett, DM .
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1996, 452 (1946) :527-541
[5]   Piezoelectric solid with an elliptic inclusion or hole [J].
Chung, MY ;
Ting, TCT .
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 1996, 33 (23) :3343-3361
[6]   ON THE DYNAMIC FRACTURE OF PIEZOELECTRIC MATERIALS [J].
DASCALU, C ;
MAUGIN, GA .
QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 1995, 48 :237-255
[7]   Exact piezothermoelastic solution of simply-supported orthotropic flat panel in cylindrical bending [J].
Dube, GP ;
Kapuria, S ;
Dumir, PC .
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 1996, 38 (11) :1161-1177
[8]   ON THE ANISOTROPIC ELASTIC INCLUSIONS IN PLANE ELASTOSTATICS [J].
HWU, C ;
YEN, WJ .
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1993, 60 (03) :626-632
[9]   THERMAL-STRESSES IN AN ANISOTROPIC PLATE DISTURBED BY AN INSULATED ELLIPTIC HOLE OR CRACK [J].
HWU, C .
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1990, 57 (04) :916-922
[10]   ELECTROELASTIC MODELING OF ANISOTROPIC PIEZOELECTRIC MATERIALS WITH AN ELLIPTIC INCLUSION [J].
LIANG, J ;
HAN, JC ;
WANG, B ;
DU, SY .
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 1995, 32 (20) :2989-3000