A theory of micropolar thermoelasticity without energy dissipation

被引：56
|
作者：
Ciarletta, M [1 ]
机构：
[1] Univ Salerno, Dipartimento Ingn Informaz & Matemat Applicata, I-84100 Salerno, Italy
来源：
JOURNAL OF THERMAL STRESSES | 1999年 / 22卷 / 06期
关键词：
D O I：
10.1080/014957399280760
中图分类号：
O414.1 [热力学];
学科分类号：
摘要：
In this article we use the results of Green and Naghdi [Proc. Roy. Sec. London A, vol. 432, pp. 171-194, 1991 and vol. 357, pp. 253-270, 1977 and J. Elasticity, vol. 31, pp. 189-209, 1993] to establish a theory of micropolar thermoelasticity that permits propagation of thermal waves at a finite speed. A solution of Galerkin type for homogeneous and isotropic bodies is also established. This solution is used to study the effect of a concentrated heat source. The continuous dependence of the solution with with respect to body loads and initial data is finally studied.
引用
收藏
页码：581 / 594
页数：14
相关论文
共 50 条
  • [31] The study of vibrations in the context of porous micropolar media thermoelasticity and the absence of energy dissipation
    Codarcea-Munteanu, Lavinia
    Marin, Marin
    Vlase, Sorin
    JOURNAL OF COMPUTATIONAL APPLIED MECHANICS, 2023, 54 (03): : 437 - 454
  • [32] LINEAR THEORY OF MICROPOLAR THERMOELASTICITY
    TAUCHERT, TR
    OLAUS, WD
    ARIMAN, T
    INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 1968, 6 (01) : 37 - &
  • [33] Variational and reciprocal principles in thermoelasticity without energy dissipation
    D. S. Chandrasekharaiah
    Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 1998, 108 : 209 - 215
  • [34] Thermal shock problem in thermoelasticity without energy dissipation
    Li, H.
    Dhaliwal, R. S.
    Indian Journal of Pure and Applied Mathematics, 27 (01):
  • [35] State space approach for the vibration of nanobeams based on the nonlocal thermoelasticity theory without energy dissipation
    Zenkour, A. M.
    Abouelregal, A. E.
    Alnefaie, K. A.
    Abu-Hamdeh, N. H.
    Aljinaidi, A. A.
    Aifantis, E. C.
    JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY, 2015, 29 (07) : 2921 - 2931
  • [36] On the theory of two-temperature thermoelasticity without energy dissipation of Green-Naghdi model
    Youssef, Hamdy M.
    Elsibai, Khaled A.
    APPLICABLE ANALYSIS, 2015, 94 (10) : 1997 - 2010
  • [37] State space approach for the vibration of nanobeams based on the nonlocal thermoelasticity theory without energy dissipation
    A. M. Zenkour
    A. E. Abouelregal
    K. A. Alnefaie
    N. H. Abu-Hamdeh
    A. A. Aljinaidi
    E. C. Aifantis
    Journal of Mechanical Science and Technology, 2015, 29 : 2921 - 2931
  • [38] Reciprocal and variational principles in linear thermoelasticity without energy dissipation
    Chirita, S.
    Ciarletta, M.
    MECHANICS RESEARCH COMMUNICATIONS, 2010, 37 (03) : 271 - 275
  • [39] Evolution of solutions for dipolar bodies in Thermoelasticity without energy dissipation
    Marin, Marin
    Abbas, Ibrahim
    ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2016, 24 (01): : 57 - 82
  • [40] Uniqueness and existence theorems in thermoelasticity with voids without energy dissipation
    Aouadi, Moncef
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2012, 349 (01): : 128 - 139
12345