Energy decay in a Timoshenko-type system of thermoelasticity of type III

被引：112

作者：

Messaoudi, Salim A. ^{[1
]}

Said-Houari, Belkacem ^{[2
]}

机构：

[1] King Fahd Univ Petr & Minerals, Dept Math Sci, Dhahran 31261, Saudi Arabia

[2] Univ Annaba, Lab Math Appl, Annaba 23000, Algeria

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2008年 / 348卷 / 01期

关键词：

exponential decay; Timoshenko; thermoelasticity type III;

D O I：

10.1016/j.jmaa.2008.07.036

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we consider a one-dimensional linear thermoelastic system of Timoshenko type, where the heat conduction is given by Green and Naghdi theories. We prove the exponential stability by using the energy method. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：298 / 307

页数：10

共 30 条

[1] Energy decay for Timoshenko systems of memory type [J].

Ammar-Khodja, F ;

Benabdallah, A ;

Rivera, JEM ;

Racke, R .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2003, 194 (01) :82-115

[2] Stabilization of the nonuniform Timoshenko beam [J].

Ammar-Khodja, Farid ;

Kerbal, Sebti ;

Soufyane, Abdelaziz .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 327 (01) :525-538

[3]

[Anonymous], 2002, ABSTR APPL ANAL

[4]

Chandrasekharaiah D.S., 1998, Appl. Mech. Rev, V51, P705, DOI [10.1115/1.3098984, DOI 10.1115/1.3098984]

[5] Complete solutions in the theory of thermoelasticity without energy dissipation [J].

Chandrasekharaiah, DS .

MECHANICS RESEARCH COMMUNICATIONS, 1997, 24 (06) :625-630

[6] One-dimensional wave propagation in the linear theory of thermoelasticity without energy dissipation [J].

Chandrasekharaiah, DS .

JOURNAL OF THERMAL STRESSES, 1996, 19 (08) :695-710

[7] Boundary feedback stabilization of Timoshenko beam with boundary dissipation [J].

Feng, DX ;

Shi, DH ;

Zhang, WT .

SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY, 1998, 41 (05) :483-490

[8] ON UNDAMPED HEAT WAVES IN AN ELASTIC SOLID [J].

GREEN, AE ;

NAGHDI, PM .

JOURNAL OF THERMAL STRESSES, 1992, 15 (02) :253-264

[9] THERMOELASTICITY WITHOUT ENERGY-DISSIPATION [J].

GREEN, AE ;

NAGHDI, PM .

JOURNAL OF ELASTICITY, 1993, 31 (03) :189-208

[10] A REEXAMINATION OF THE BASIC POSTULATES OF THERMOMECHANICS [J].

GREEN, AE ;

NAGHDI, PM .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1991, 432 (1885) :171-194

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