期刊
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
卷 48, 期 11, 页码 1507-1518出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijengsci.2010.09.020
关键词
Bending; Classical theories; Nonlocal elasticity; Shear deformation theories; Virtual work principles; Von Karman nonlinearity
资金
- Oscar S. Wyatt Endowed Chair
The classical and shear deformation beam and plate theories are reformulated using the nonlocal differential constitutive relations of Eringen and the von Karman nonlinear strains. The equations of equilibrium of the nonlocal beam theories are derived, and virtual work statements in terms of the generalized displacements are presented for use with the finite element model development. The governing equilibrium equations of the classical and first-order shear deformation theories of plates with the von Karman nonlinearity are also formulated. The theoretical development presented herein should serve to obtain the finite element results and determine the effect of the geometric nonlinearity and nonlocal constitutive relations on bending response. (C) 2010 Elsevier Ltd. All rights reserved.
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