A uniformly loaded infinite-length thin plate bent to a cylindrical surface in the presence of couple-stresses |
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| Authors: | YC Hsu |
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| Institution: | Department of Mechanical Engineering University of New Mexico, Albuquerque, New Mexico, USA |
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| Abstract: | Exact solutions, based on couple-stresses plane strain theory of elasticity, are presented for the normal, shear and couple-stresses, displacements and rotations of an infinite-length (in z-axis) rectangular thin plate simply supported at two opposite edges (i.e.x=±L) and bent by a uniform load. Exact solutions reduce to classical values as l→0. Here l is defined as the new elastic material constant taking account of couple stresses. |
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