Some observations on the potential functions for transverse isotropy in the presence of body forces

被引:10
作者
Hanson, MT [1 ]
机构
[1] Univ Kentucky, Dept Engn Mech, Lexington, KY 40506 USA
关键词
D O I
10.1016/S0020-7683(97)00233-3
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
In this paper the potential function formulation for a transversely isotropic material is examined in the presence of body force terms. The equations of equilibrium are reduced to Poisson type equations with the body force terms on the right hand side. The potentials are evaluated for a concentrated body force in an infinite material. For a force perpendicular to the isotropic plane, it is shown that some degree of ambiguity exists in the choice of the potential which explains the different forms used by previous researchers. For a point force parallel to the z = 0 isotropic plane, the present results for the potentials agree with previous analysis when z > 0 but differ for z < 0. The ramifications of this on a recent ring loading analysis conducted by the author are discussed and certain confusing features of this recent solution are resolved. (C) 1998 Elsevier Science Ld. All rights reserved.
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收藏
页码:3793 / 3813
页数:21
相关论文
共 15 条
[1]  
[Anonymous], 1953, P 1 MIDWESTERN C SOU
[2]  
EASON G, 1955, PHILOS T R SOC A, V247, P52
[3]   3-DIMENSIONAL STRESS DISTRIBUTIONS IN HEXAGONAL AEOLOTROPIC CRYSTALS [J].
ELLIOTT, HA .
PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1948, 44 (04) :522-533
[4]  
ERDELYI A, 1954, TABLES INTEGRAL TRAN, V1, P65
[5]  
ERDELYI A, 1954, TABLES INTEGRAL TRAN, V2, P9
[6]  
FABRIKANT VI, 1989, APPLICATIONS POTENTI, P71
[7]  
Fung Y. C., 1965, FDN SOLID MECH, P200
[8]  
GREEN AE, 1968, THEORETICAL ELASTICI, P177
[9]   Concentrated ring loadings in a full space or half space: Solutions for transverse isotropy and isotropy [J].
Hanson, MT ;
Wang, Y .
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 1997, 34 (11) :1379-1418
[10]   The evaluation of certain infinite integrals involving products of Bessel functions: A correlation of formula [J].
Hanson, MT ;
Puja, IW .
QUARTERLY OF APPLIED MATHEMATICS, 1997, 55 (03) :505-524