Uniqueness theorem and Hamilton's principle in linear micropolar thermopiezoelectric/piezomagnetic continuum with two relaxation times

被引：19

作者：

El-Karamany, Ahmed S. ^{[1
]}

机构：

[1] Nizwa Univ, Dept Math & Phys Sci, Nizwa 611, Oman

来源：

MECCANICA | 2009年 / 44卷 / 01期

关键词：

Thermopiezoelectric/piezomagnetic continuum; Micropolar theory; Generalized thermoelasticity; Uniqueness theorem; Pyroelectric/pyromagnetic dissipative function; Hamilton's principle; Continuum mechanics; INTEGRAL-EQUATION FORMULATION; COUPLE-STRESSES; THERMOELASTICITY; THERMOVISCOELASTICITY; COMPOSITES; BEHAVIOR; MEDIA;

D O I：

10.1007/s11012-008-9144-4

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The constitutive laws are obtained for the linear micropolar thermopiezoelectric/piezomagnetic continuum with two relaxation times. A positive decreasing dissipative pyroelectric/pyromagnetic function is introduced and a uniqueness theorem is proved. The equation of motions and the boundary condition are obtained from a Hamilton's type variational principle. Extended Hamilton's principle is given.

引用

页码：47 / 59

页数：13

共 4 条

[1] Uniqueness theorem and Hamilton’s principle in linear micropolar thermopiezoelectric/piezomagnetic continuum with two relaxation times
Ahmed S. El-Karamany
Meccanica, 2009, 44
[2] Constitutive laws, uniqueness theorem and Hamilton's principle in linear micropolar thermopiezoelectric/piezomagnetic continuum with relaxation time
El-Karamany, Ahmed S.
JOURNAL OF THERMAL STRESSES, 2007, 30 (01) : 59 - 80
[3] Uniqueness and reciprocal theorems in linear micropolar electro-magnetic thermoelasticity with two relaxation times
Ahmed S. El-Karamany
Magdy A. Ezzat
Mechanics of Time-Dependent Materials, 2009, 13 : 93 - 115
[4] Uniqueness and reciprocal theorems in linear micropolar electro-magnetic thermoelasticity with two relaxation times
El-Karamany, Ahmed S.
Ezzat, Magdy A.
MECHANICS OF TIME-DEPENDENT MATERIALS, 2009, 13 (01) : 93 - 115

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