Green’s functions and boundary element method formulation for 3D anisotropic media

Computers & Structures - Tập 79 - Trang 469-482 - 2001
Fulvio Tonon1, Ernian Pan2, Bernard Amadei1
1Department of Civil Engineering, University of Colorado at Boulder, Boulder, CO 80309, USA
2Department of Mechanical Engineering, University of Colorado at Boulder, Boulder, CO 80309, USA

Tài liệu tham khảo

Lifshitz, 1947, On the construction of the Green’s tensor for the basic equation of the theory of elasticity of an anisotropic infinite medium, J Exp Theor Phys JETP, 17, 783 Synge, 1957 Mura T. Micromechanics and defects in solids. 2nd ed. Martinus Nijhoff, 1987 Wang, 1997, Elastic fields produced by a point source in solids of general anisotropy, J Eng Math, 32, 41, 10.1023/A:1004289831587 Pan, 1976, Point force solution for an infinite transversely isotropic solid, J Appl Mech, 29, 225 Ting, 1996 Barozzi E, Gonzales E. Calculus, vol. 1. Padova: Edizioni Libreria Progetto; 1989 Head, 1979, The Gaois unsolvability of the sextic equation of anisotropic elasticity, J Elasticity, 9, 9, 10.1007/BF00040976 Pan, 2000, Three-dimensional Green’s functions in anisotropic piezoelectric solids, Int J Solids Struct, 37, 943, 10.1016/S0020-7683(99)00073-6 Brebbia, 1989 Pan E, Amadei B. 3-D boundary element formulation of anisotropic elasticity with gravity. Appl Math Model 1996;20:114–20 Lekhnitskii, 1963 Schclar NA. Anisotropic analysis using boundary elements. Topics in engineering, vol. 20. Southampton, UK: Computational Mechanics Publications, 1994 Beer G. BEFE users manual, CSS, Carnerigasse 10, Graz, Austria, 1998 Tonon F, Amadei B. A numerical study on weakness detection ahead of the tunnel face. Proc Fourth North American Rock Mech. Symp Pacific Rocks: Rock Around the Rim, University of Washington, Washington, USA, 31 July–3 August 2000, Rotterdam: Balkema, in press Sales, 1998, Evaluation of the anisotropic Green’s function and its derivatives, Comput and Struct, 69, 247, 10.1016/S0045-7949(97)00115-6 Ting, 1997, The three-dimensional elastostatic Green’s function for general anisotropic linear elastic solids, Q J Mech Appl Math, 50, 407, 10.1093/qjmam/50.3.407 Ting, 2000, Recent developments in anisotropic elasticity, Int J Solids Struct, 37, 401, 10.1016/S0020-7683(99)00102-X Deans SR. The Radon transform and some of its applications. New York: Wiley Interscience, 1983 John, 1955 Gel’fand IM, Graev MI, Vilenkin, YN. Generalized functions, vol. 5. New York: Academic Press; 1966 Helgason, 1980 Courant R, Hilbert D. Methods of mathematical physics, vol. II. New York: Interscience; 1962