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. The corrected maximum deflection of the center line and couple M x at z=±∞ along the x-axis are found. In particular, the couple-stress theory of elasticity shows the phenomenon of increased stiffening with decreasing thickness of thin plate. Exact solutions, in the presence of couple-stresses, give a better representation for bodies having a dimension omparable to l. This is true for thin plate.
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