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Deformations near an elliptical hole with surface effect in a laminated anisotropic thin plate
Author(s) -
Wang Xu,
Schiavone Peter
Publication year - 2015
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.201400271
Subject(s) - anisotropy , bending of plates , bending moment , geometry , plate theory , elasticity (physics) , neutral plane , auxetics , formalism (music) , materials science , classical mechanics , physics , bending , structural engineering , boundary value problem , mathematical analysis , optics , mathematics , composite material , engineering , art , musical , visual arts
This work is concerned with the coupled stretching and bending deformation around an elliptical hole with surface energy in a laminated and inhomogeneous anisotropic elastic thin plate within the context of the Kirchhoff theory. A closed‐form full‐field solution is derived by using the octet formalism recently developed by Cheng and Reddy (2002, 2003, 2004, 2005) and by incorporating a simplified version of the surface elasticity model. In particular, explicit real‐form expressions of the hoop membrane stress resultant, hoop bending moment, in‐plane displacements and slopes on the mid‐plane along the edge of the elliptical hole are obtained.