A uniformly loaded infinite-length thin plate bent to a cylindrical surface in the presence of couple-stresses

✍ Scribed by Y.C. Hsu

• Book ID: 103085629
• Publisher: Elsevier Science
• Year: 1971
• Tongue: English
• Weight: 788 KB
• Volume: 291
• Category: Article
• ISSN: 0016-0032
• DOI: 10.1016/0016-0032(71)90182-7

✦ Synopsis

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 injinite-length (in z-axis) rectangular thin plate simply supported at two opposite edges (i.e. x = f. L) and bent by a uniform load. Exact solutions reduce to classical values as 1 --z 0. 1 > Here 1 is defined as the new elastic material constant taking account of couple stresses. The corrected maximum deflection of the center line and couple M, at z = f a, 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 otnparable to 1. This is true for thin plate.