Green's functions for semi-infinite transversely isotropic thermoelastic materials

被引：11
|
作者：
Hou, Peng-Fei [1 ]
Leung, Andrew Y. T. [2 ]
Chen, Chang-Ping [1 ]
机构：
[1] Hunan Univ, Dept Engn Mech, Changsha 410082, Peoples R China
[2] City Univ Hong Kong, Dept Bldg & Construct, Hong Kong, Hong Kong, Peoples R China
来源：
ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 2008年 / 88卷 / 01期
关键词：
Green's function; point heat source; semi-infinite; transversely isotropic; thermoelastic;
D O I：
10.1002/zamm.200710355
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We use the compact mono-harmonic general solutions of transversely isotropic thermoelastic materials to construct the three-dimensional Green's function of a steady point heat source in a semi-infinite transversely isotropic thermoelastic material by three newly introduced mono-harmonic functions. All components of coupled field are expressed in terms of elementary functions and are convenient to use. Numerical results for hexagonal zinc are given graphically by contours. (c) 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.
引用
收藏
页码：33 / 41
页数：9
相关论文
共 50 条
  • [31] Point force and point electric charge in infinite and semi-infinite transversely isotropic piezoelectric solids
    Karapetian, E
    Sevostianov, I
    Kachanov, M
    PHILOSOPHICAL MAGAZINE B-PHYSICS OF CONDENSED MATTER STATISTICAL MECHANICS ELECTRONIC OPTICAL AND MAGNETIC PROPERTIES, 2000, 80 (03): : 331 - 359
  • [32] CONTACT BETWEEN AN AXISYMMETRIC PUNCH AND A SEMI-INFINITE TRANSVERSELY ISOTROPIC ELASTIC BODY
    DAHAN, M
    JOURNAL DE MECANIQUE APPLIQUEE, 1979, 3 (03): : 373 - 386
  • [33] Point force and point electric charge in infinite and semi-infinite transversely isotropic piezoelectric solids
    Karapetian, E.
    Sevostianov, I.
    Kachanov, M.
    2000, Taylor and Francis Inc. (80):
  • [34] GREEN'S FUNCTION FOR TRANSVERSELY ISOTROPIC THERMOELASTIC DIFFUSION BIMATERIALS
    Kumar, Rajneesh
    Gupta, Vandana
    JOURNAL OF THERMAL STRESSES, 2014, 37 (10) : 1201 - 1229
  • [35] APPROXIMATE EXPRESSIONS FOR THE GREEN'S FUNCTIONS OF A SEMI-INFINITE, ELASTIC MEDIUM
    Plibersek, Tomaz
    Umek, Andrej
    ACTA GEOTECHNICA SLOVENICA, 2010, 7 (02): : 54 - 63
  • [36] Three dimensional transient Green's functions in a thermoelastic transversely isotropic half-space
    Eskandari-Ghadi, M.
    Raoofian-Naeeni, M.
    Pak, R. Y. S.
    Ardalan, Alireza A.
    Morshedifard, A.
    ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2017, 97 (12): : 1611 - 1624
  • [37] Green's functions and boundary element method for transversely isotropic piezoelectric materials
    Ding, HJ
    Chen, WQ
    Jiang, AM
    ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2004, 28 (08) : 975 - 987
  • [38] THERMOELASTIC STRESS IN THE SEMI-INFINITE SOLID
    MINDLIN, RD
    CHENG, DH
    JOURNAL OF APPLIED PHYSICS, 1950, 21 (09) : 931 - 933
  • [39] THERMOELASTIC VIBRATIONS OF A SEMI-INFINITE STRIP
    MASSALAS, CV
    JOURNAL OF SOUND AND VIBRATION, 1986, 104 (02) : 337 - 341
  • [40] GREEN-FUNCTIONS IN AN INFINITE TRANSVERSELY ISOTROPIC SATURATED POROELASTIC MEDIUM
    KAZIAOUAL, MN
    BONNET, G
    JOUANNA, P
    JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1988, 84 (05): : 1883 - 1889
12345