Damping of end effects in a thermoelastic theory

被引：77
作者：
Quintanilla, R [1 ]
机构：
[1] Univ Politecn Catalunya, Dept Matemat Aplicada 2, Barcelona, Spain
来源：
APPLIED MATHEMATICS LETTERS | 2001年 / 14卷 / 02期
关键词：
thermoelasticity of type III; spatial estimates; comparison arguments; Saint-Venant's principle;
D O I：
10.1016/S0893-9659(00)00125-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The aim of this paper is to present a spatial decay estimate in the thermoelasticity of Type III. We prove that the rate of decay is bounded below by an exponential of a second degree polynomial of the distance. (C) 2000 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码：137 / 141
页数：5
相关论文
共 16 条
  • [1] Bofill F., 1997, RIC MAT, V46, P425
  • [2] On Saint-Venant's principle in linear elastodynamics
    Chirita, S
    Quintanilla, R
    [J]. JOURNAL OF ELASTICITY, 1996, 42 (03) : 201 - 215
  • [3] DIAZ JI, 1999, 20006 MAUCM
  • [4] ON UNDAMPED HEAT WAVES IN AN ELASTIC SOLID
    GREEN, AE
    NAGHDI, PM
    [J]. JOURNAL OF THERMAL STRESSES, 1992, 15 (02) : 253 - 264
  • [5] THERMOELASTICITY WITHOUT ENERGY-DISSIPATION
    GREEN, AE
    NAGHDI, PM
    [J]. JOURNAL OF ELASTICITY, 1993, 31 (03) : 189 - 208
  • [6] A REEXAMINATION OF THE BASIC POSTULATES OF THERMOMECHANICS
    GREEN, AE
    NAGHDI, PM
    [J]. PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1991, 432 (1885): : 171 - 194
  • [7] A NEW THERMOVISCOUS THEORY FOR FLUIDS
    GREEN, AE
    NAGHDI, PM
    [J]. JOURNAL OF NON-NEWTONIAN FLUID MECHANICS, 1995, 56 (03) : 289 - 306
  • [8] SPATIAL DECAY-ESTIMATES IN TRANSIENT HEAT-CONDUCTION
    HORGAN, CO
    PAYNE, LE
    WHEELER, LT
    [J]. QUARTERLY OF APPLIED MATHEMATICS, 1984, 42 (01) : 119 - 127
  • [9] RECENT DEVELOPMENTS CONCERNING SAINT-VENANT PRINCIPLE
    HORGAN, CO
    KNOWLES, JK
    [J]. ADVANCES IN APPLIED MECHANICS, 1983, 23 : 179 - 269
  • [10] Horgan CO., 1996, APPL MECH REV, V49, pS101, DOI DOI 10.1115/1.3101961
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