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https://hdl.handle.net/2440/64126
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Type: | Journal article |
Title: | Axisymmetric loading of a class of inhomogeneous transversely isotropic half-spaces with quadratic elastic moduli |
Author: | Clements, D. Kusuma, J. |
Citation: | Quarterly Journal of Mechanics and Applied Mathematics, 2011; 64(1):25-46 |
Publisher: | Oxford Univ Press |
Issue Date: | 2011 |
ISSN: | 0033-5614 0022-247X |
Statement of Responsibility: | D. L. Clements and J. Kusuma |
Abstract: | Some axisymmetric problems are considered for a class of inhomogeneous anisotropic elastic materials for which the elastic moduli vary continuously as a quadratic function of the spatial coordinates. For a restricted class of transversely isotropic materials, loading of a half-space and a layer on a rigid foundation are considered and integral expressions for the displacement and stress are obtained. Particular attention is given to cases when the values of the elastic moduli near to the plane boundary of the half-space and the layer approach zero. Numerical results are obtained for some example transversely isotropic and isotropic materials. |
Rights: | © The author 2010. Published by Oxford University Press |
DOI: | 10.1093/qjmam/hbq021 |
Published version: | http://dx.doi.org/10.1093/qjmam/hbq021 |
Appears in Collections: | Aurora harvest 5 Mathematical Sciences publications |
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