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 12 条
[1]  
Banerjee P.K., 1981, BOUNDARY ELEMENT MET
[2]   Thermoelastic field of a transversely isotropic elastic medium containing a penny-shaped crack: exact fundamental solution [J].
Chen, WQ ;
Ding, HJ ;
Ling, DS .
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2004, 41 (01) :69-83
[3]   3-DIMENSIONAL STRESS DISTRIBUTIONS IN HEXAGONAL AEOLOTROPIC CRYSTALS [J].
ELLIOTT, HA .
PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1948, 44 (04) :522-533
[4]   DAS FUNDAMENTALINTEGRAL DER ANISOTROPEN ELASTISCHEN DIFFERENTIALGLEICHUNGEN [J].
KRONER, E .
ZEITSCHRIFT FUR PHYSIK, 1953, 136 (04) :402-410
[6]  
LIFSHITS IM, 1947, ZH EKSP TEOR FIZ+, V17, P783
[7]  
PAN YC, 1976, ASME J APPL MECH, V98, P608
[8]  
SHARMA B, 1958, J APPL MECH, V25, P86
[9]   Free vibration analysis of homogeneous transversely isotropic thermoelastic cylindrical panel [J].
Sharma, JN ;
Sharma, PK .
JOURNAL OF THERMAL STRESSES, 2002, 25 (02) :169-182
[10]  
Sveklo VA, 1969, J APPL MATH MECH, V33, P532