Abstract
This chapter presents some fundamental solutions for cavity expansion in elastic materials. These elastic solutions also serve as a necessary introduction to the development of nonlinear plastic solutions which are presented in later chapters of the book.
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References
Graham, J. and Houlsby, G.T. (1983). Anisotropic elasticity of a natural clay. Geotechni-que, 33(2), 165–180.
Hopkins, H.G. (1960). Dynamic expansion of spherical cavities in metals, in: Progress in Solid Mechanics, Vol 1, (Editors: I.N. Sneddon and R.Hill), North-Holland, Amsterdam.
Keer, L.M., Xu, Y. and Luk, V.K. (1998). Boundary effects in penetration or perforation. Journal of Applied Mechanics, ASME, 65,489–496.
Kassir, M.K. and Sih, G.C. (1975). Three-dimensional crack problems, in: Mechanics of Fracture, Vol 2, Noordhoff International Publishing, Dordrecht, The Netherlands.
Lekhnitskii, S.G. (1963). Theory of Elasticity of an Anisotropic Elastic Body. Holden-Day, Inc.
Mindlin, R.D. and Cheng, D.H. (1950). Nuclei of strain in semi-infinite solid. Journal of Applied Physics, 21, 926–930.
Sagaseta, C. (1987). Analysis of undrained soil deformation due to ground loss. Geotech-nique, 37(3), 301–320.
Sneddon, I.N. (1951). Fourier Transforms. New York, McGraw-Hill.
Timoshenko, S.P. and Goodier, J.N. (1970). Theory of Elasticity. 3rd edition, McGraw-Hill.
Van Cauwelaert, F. (1977). Coefficients of deformations of an anisotropic body. Journal of the Engineering Mechanics Division, ASCE, 103(EM5), 823–835.
Verruijt, A. and Booker, J.R. (1996). Surface settlements due to deformation of a tunnel in an elastic half plane. Geotechnique, 46(4), 753–756.
Wu, B.L., King, M.S. and Hudson, J.A. (1991). Stress-induced ultrasonic wave velocity anisotropy in a sandstone. International Journal for Rock Mechanics and Mining Sciences, 28(1), 101–107.
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© 2000 Hai-Sui Yu
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Yu, HS. (2000). Elastic Solutions. In: Cavity Expansion Methods in Geomechanics. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9596-4_2
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DOI: https://doi.org/10.1007/978-94-015-9596-4_2
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-4023-7
Online ISBN: 978-94-015-9596-4
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