On the stability of thermoelastic materials

被引：12
|
作者：
Abeyaratne, R [1 ]
Knowles, JK
机构：
[1] MIT, Dept Mech Engn, Cambridge, MA 02139 USA
[2] CALTECH, Div Engn & Appl Sci, Pasadena, CA 91125 USA
来源：
JOURNAL OF ELASTICITY | 1998年 / 53卷 / 03期
关键词：
thermoelasticity; stability; strong ellipticity;
D O I：
10.1023/A:1007513631783
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
A notion of material stability is introduced and discussed in the setting of nonlinear thermoelasticity. Necessary and sufficient conditions are established for the stability of a general thermoelastic material. The adiabatic theory and the theory that accounts for heat conduction are considered separately.
引用
收藏
页码：199 / 213
页数：15
相关论文
共 50 条
  • [1] On the Stability of Thermoelastic Materials
    Rohan Abeyaratne
    James K. Knowles
    Journal of Elasticity, 1998, 53 : 199 - 213
  • [2] Thermoelastic stability of layer bonded to half plane
    Schade, DT
    Karr, DG
    JOURNAL OF ENGINEERING MECHANICS, 2002, 128 (12) : 1285 - 1294
  • [3] Waves in thermoelastic materials
    Auriault, Jean-Louis
    EURODYN 2014: IX INTERNATIONAL CONFERENCE ON STRUCTURAL DYNAMICS, 2014, : 3437 - 3441
  • [4] Thermoelastic stability of bimetallic shallow shells of revolution
    Batista, M.
    Kosel, F.
    INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2007, 44 (02) : 447 - 464
  • [5] On the coupled theory of thermoelastic double-porosity materials
    Svanadze, Merab
    JOURNAL OF THERMAL STRESSES, 2022, 45 (07) : 576 - 596
  • [6] Thermoelastic stability of a double-layered spherical shell
    Batista, M.
    Kosel, F.
    INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2006, 41 (09) : 1016 - 1027
  • [7] On the Stability of a Thermoelastic Laminated Beam
    Apalara, Tijani A.
    ACTA MATHEMATICA SCIENTIA, 2019, 39 (06) : 1517 - 1524
  • [8] On the Stability of a Thermoelastic Laminated Beam
    Tijani A. Apalara
    Acta Mathematica Scientia, 2019, 39 : 1517 - 1524
  • [9] Stability of thermoelastic Bresse systems
    de Lima, Pedro Roberto
    Fernandez Sare, Hugo D.
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2019, 70 (01):
  • [10] Stability of thermoelastic Bresse systems
    Pedro Roberto de Lima
    Hugo D. Fernández Sare
    Zeitschrift für angewandte Mathematik und Physik, 2019, 70
12345