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An exact solution for an anisotropic plate with an elliptic hole under arbitrary remote uniform moments |
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| Affiliation: | 1. Department of Harbor and River Engineering, National Taiwan Ocean University, Keelung, 20224, Taiwan;2. Department of Mechanical and Mechatronic Engineering, National Taiwan Ocean University, Keelung, 20224, Taiwan;3. Department of Civil Engineering, National Cheng-Kung University, Tainan, 70101, Taiwan;4. Center of Excellence for Ocean Engineering, National Taiwan Ocean University, Keelung, 20224, Taiwan;5. Bachelor Degree Program in Ocean Engineering and Technology, National Taiwan Ocean University, Keelung, 20224, Taiwan;1. Laboratoire Navier, École des Ponts, IFSTTAR, CNRS, UPE, UMR 8205, 6/8 avenue Blaise Pascal, Champs-sur-Marne, France;2. Laboratoire Modélisation et Simulation Multi-Echelle, Université Paris Est, MSME UMR 8208 CNRS, 5 boulevard Descartes, Marne la Vallée Cedex 77454 France |
| Abstract: | The problem of an anisotropic plate containing an elliptic hole subjected to remote bending or twisting moments is considered. In contrast with the previous works on the problem, the requirement that the deflection be a single-valued function is satisfied by introducing a correction constant. An exact solution for general anisotropic materials under arbitrary uniform loading conditions is derived. Explicit expressions for the deflection and moments on the edge of an elliptic hole in an orthotropic plate subjected to bending or twisting moments are obtained. The moment intensity factors as the elliptic hole degenerates into a crack are given. |
| Keywords: | B Anisotropy B Elasticity B Stress concentrations C Analytical modelling |
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