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Oblique edge crack in an anisotropic material under antiplane shear
Authors:HG Beom  CB Cui
Institution:1. Atmospheric, Oceanic & Planetary Physics, Department of Physics, University of Oxford, Clarendon Laboratory, Parks Road, Oxford OX1 3PU, UK;2. Jet Propulsion Laboratory, California Institute of Technology, 4800 Oak Grove Drive, Pasadena, CA 91109, USA;3. STFC Rutherford Appleton Laboratory, Harwell Science and Innovation Campus, Didcot OX11 0QX, UK;4. Department of Physics, The Catholic University of America, Washington, DC 20064, USA;5. Department of Astronomy, University of Maryland, College Park, MD 20742, USA;6. NASA/Goddard Space Flight Center, Greenbelt, MD 20771, USA;1. Department of Mechanical Engineering, McGill University, 817 Sherbrooke St. W., Montreal, QC H3A 0C3, Canada;2. Department of Biology, McGill University, 1205 Docteur Penfield, Montreal, QC H3A 1B1, Canada;3. Department of Chemical Engineering, McGill University, 3610 Rue University, Montreal, QC H3A 0C5, Canada;1. School of Civil Engineering, The University of Queensland, St Lucia, Queensland 4072, Australia;2. Université de Bretagne Sud, IRDL, UBS, Lorient, Institut de Recherche Dupuy de Lôme, Centre de Recherche, Rue de Saint Maudé – BP, 92116, 56321 Lorient Cedex, France
Abstract:An oblique edge crack in an anisotropic material under antiplane shear loadings is investigated. The antiplane problems are formulated based on a linear transformation method. An anisotropic solid containing an edge crack subjected to concentrated forces is first considered. The stress intensity factor for the edge crack with concentrated forces is obtained from the solution of the transformed edge crack in an isotropic material which is solved by using conformal mapping technique and complex function theory. The solution of the edge crack under concentrated loads is used to construct the stress intensity factor for the oblique edge crack in the anisotropic material subjected to antiplane distributed loads. Some numerical computations are carried out to calculate the stress intensity factors for the edge crack in inclined orthotropic materials subjected to point forces as well as distributed tractions.
Keywords:
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