横观各向同性轴对称问题的通解
General Solutions of Axisymmetric Problems in Transversely Isotropic Body
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摘要: 本文按应力求解轴对称问题,以统一的格式导出了一系列有实用价值的通解,其中有的是已有的著名的通解,有的尚未见文献报导.同时证明了各种通解的完备性.Abstract: In this paper we solve axisymmetric problems by stress and deduce a series of valuable general solutions by unified method. Some of them are well-known solutions, and others have not appeared in the literature. We also prove the completeness of these general solutions.
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[1] Lekhniskii, S.G., Theory of Elasticity of an Anisotropic Body, Mir Publishers (1981). [2] Лехницкий С.Г.,Симметричная деформапия и кручение тела врашения с анизотролией частноговита,ПММ,4, 3 (1940), 43-60. [3] Elliott, H.H., Three-dimensional stress distributions in hexagonal aeolotropic crystals, Proc. Camb. Phil. Soc., 44 (1948), 522-533. [4] Elliott, H.H., Axial symmetric stress distributions in hexagonal crystals, The problem of the plane and related problems, Proc. Camb. Phil. Soc., 45 (1949), 621-630. [5] Shield, R.T., Notes on problems in hexagonal aeolotropic materials, Proc. Camb. Phil. Soc., 47 (1951), 401-409. [6] 胡海昌,横观各向同性的半无限弹性体的若干问题,物理学报,10(1954),239-258. [7] Eubanks, R.A. and E. Sternberg, On the axisymmetric problem of elasticity theory for a medium with transverse isotropy, Journal of Rational Mechanics Analysis, 3 (1954), 89-101. [8] Timoshenko, S.P. and J.N. Goodier, Theory of Elasticity, third edition (1970). [9] Папкович П.Ф.,Теорuя Уnруосmu,Оборонгиз(1939). [10] 丁浩江,关于轴对称问题应力函数,上海力学,8.1 (1987),42-48.
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