FOURIER INTEGRAL-REPRESENTATION OF THE GREEN-FUNCTION FOR AN ANISOTROPIC ELASTIC HALF-SPACE

被引:21
作者
WALKER, KP
机构
来源
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 1993年 / 443卷 / 1918期
关键词
D O I
10.1098/rspa.1993.0151
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
This paper describes the development of a Fourier integral representation of the Green function for an anisotropic elastic half-space. The representation for an isotropic material is integrated in closed form and shown to reduce to Mindlin's solution. An application of the anisotropic representation is made to deduce the exact displacement caused by a two-dimensional periodic vertical force distribution applied to the interior of a half-space with cubic material symmetry.
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页码:367 / 389
页数:23
相关论文
共 22 条
[1]  
Bacon D. J., 1980, PROGR MATERIALS SCI, V23, P51, DOI DOI 10.1016/0079-6425(80)90007-9)
[2]  
BARNETT DM, 1975, PHYS NORV, V8, P13
[3]  
Boussinesq J., 1885, APPLICATIONS POTENTI
[4]   STRESS-FIELD AND SURFACE DEFORMATION IN A HALF SPACE WITH A CUBOIDAL ZONE IN WHICH INITIAL STRAINS ARE UNIFORM [J].
CHIU, YP .
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1978, 45 (02) :302-306
[5]  
Eshelby J.D., 1961, PROG SOLID MECH
[6]   THE ELASTIC FIELD OUTSIDE AN ELLIPSOIDAL INCLUSION [J].
ESHELBY, JD .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1959, 252 (1271) :561-569
[7]   THE DETERMINATION OF THE ELASTIC FIELD OF AN ELLIPSOIDAL INCLUSION, AND RELATED PROBLEMS [J].
ESHELBY, JD .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1957, 241 (1226) :376-396
[8]  
KELVIN, 1848, MATH PHYSICAL PAPERS, V1, P97
[9]  
KEO S, 1979, J APPL MECH, V46, P568
[10]  
LAME MG, 1831, J REINE ANGEW MATH, V7, P381