THE DETERMINATION OF THE ELASTIC AND ELECTRIC-FIELDS IN A PIEZOELECTRIC INHOMOGENEITY

被引：144

作者：

BENVENISTE, Y

机构：

[1] Department of Solid Mechanics, Materials and Structures, Faculty of Engineering, Tel-Aviv University, Ramat Aviv

来源：

JOURNAL OF APPLIED PHYSICS | 1992年 / 72卷 / 03期

关键词：

D O I：

10.1063/1.351784

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

The transformed inclusion problem in a piezoelectric solid of general anisotropy is studied. An anisotropic piezoelectric medium contains a subregion-OMEGA of a different piezoelectric solid which undergoes constant eigenstresses and spontaneous electric polarizations. An analytical solution is constructed for ellipsoidal shapes-OMEGA in an unbounded surrounding matrix. A related problem is that in which no eigenstresses and polarizations are prescribed anywhere, but instead the inhomogeneity-matrix assembly is subjected to an external electromechanical loading. The electric and elastic fields in this case are shown to follow from the solution of the transformed inclusion problem.

引用

页码：1086 / 1095

页数：10

共 22 条

[11] THE DETERMINATION OF THE ELASTIC FIELD OF AN ELLIPSOIDAL INCLUSION, AND RELATED PROBLEMS [J].

ESHELBY, JD .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1957, 241 (1226) :376-396

[12]

HASHIN Z, 1972, NASA CR1974 THEOR FI

[13] A SELF-CONSISTENT MECHANICS OF COMPOSITE MATERIALS [J].

HILL, R .

JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 1965, 13 (04) :213-+

[14] GENERAL THEOREMS ABOUT HOMOGENEOUS ELLIPSOIDAL INCLUSIONS [J].

KORRINGA, J ;

LIN, IH ;

MILLS, RL .

AMERICAN JOURNAL OF PHYSICS, 1978, 46 (05) :517-521

[15]

Mura T., 1986, MICROMECHANICS DEFEC

[16]

NYE JF, 1957, PHYSICAL PROPERTIES

[17]

Smith W. A., 1989, ULTRASONICS S IEEE, P755

[18] DETERMINATION OF ELASTIC FIELD OF AN ELLIPSOIDAL INCLUSION IN AN ANISOTROPIC MEDIUM [J].

WALPOLE, LJ .

MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1977, 81 (MAR) :283-289

[19]

WALPOLE LJ, 1981, ADV APPL MECH, V21, P170

[20]

WANG BA, 1992, INT J SOLIDS STRUCT, V29, P293, DOI 10.1016/0020-7683(92)90201-4

← 1 2 3 →