کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
825463 | 1470033 | 2010 | 12 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Nonlocal nonlinear formulations for bending of classical and shear deformation theories of beams and plates Nonlocal nonlinear formulations for bending of classical and shear deformation theories of beams and plates](/preview/png/825463.png)
The classical and shear deformation beam and plate theories are reformulated using the nonlocal differential constitutive relations of Eringen and the von Kármán 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 Kármán 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.
Journal: International Journal of Engineering Science - Volume 48, Issue 11, November 2010, Pages 1507–1518