The anisotropic and angularly inhomogeneous elastic wedge under a monomial load distribution |
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Authors: | I. H. Stampouloglou E. E. Theotokoglou |
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Affiliation: | (1) Faculty of Applied Sciences, Department of Mechanics-Lab. of Strength of Materials, The National Technical University of Athens, (Zographou Campus, Theocaris Bld.,), 0157 73 Athens, Greece;(2) , Sofouli 33, Nea Smirni, 17122 Athens, Greece |
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Abstract: | In this study, the generally anisotropic and angularly inhomogeneous wedge under a monomial type of distributed loading of order n of, the radial coordinate r at its external faces is considered. At first, using variable separable relations in the equilibrium equations, the strain–stress relations and the strain compatibility equation, a differential system of equations, is constructed. Decoupling this system, an ordinary differential equation is derived and the stress and displacement fields may be determined. The proposed procedure is also applied to the elastostatic problem of an isotropic and angularly inhomogeneous wedge. The special cases of loading of order n=−1 and n=−2, where the self-similarity approach is not valid, are examined and the stress and displacements fields are derived. Applications are presented for the cases of an angularly inhomogeneous wedge and in the case of a bi-material isotropic wedge. |
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Keywords: | Anisotropic Angularly inhomogeneous Wedge Isotropic Elastic compliance Monomial distributed loading Ordinary differential equation |
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