Solutions for the anisotropic elastic wedge at critical wedge angles |
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Authors: | Chyanbin Hwu T C T Ting |
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Institution: | (1) Department of Civil Engineering, Mechanics and Metallurgy, University of Illinois at Chicago, 60680 Chicago, IL, USA;(2) Present address: Institute of Aeronautics and Astronautics, National Cheng Kung University, 70101 Tainan, Taiwan, Republic of China |
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Abstract: | The classical solution for an isotropic elastic wedge loaded by uniform tractions on the sides of the wedge becomes infinite everywhere in the wedge when the wedge angle 2 equals , 2 or 2 * where tan 2 * = 2 *. When the wedge is loaded by a concentrated couple at the wedge apex the solution also becomes infinite at 2 = 2 *. A similar situation occurs when the wedge is anisotropic except that 2 * is governed by a different equation and depends on material properties. Solutions which do not become infinite everywhere in the wedge are available for isotropic elastic wedges. In this paper we present solutions for the anisotropic elastic wedge at critical wedge angles. The main feature of the solutions obtained here is that they are in a real form even though Stroh's complex formalism is employed. |
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