کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
799555 | 1467107 | 2011 | 18 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Microstructure-dependent couple stress theories of functionally graded beams Microstructure-dependent couple stress theories of functionally graded beams](/preview/png/799555.png)
A microstructure-dependent nonlinear Euler–Bernoulli and Timoshenko beam theories which account for through-thickness power-law variation of a two-constituent material are developed using the principle of virtual displacements. The formulation is based on a modified couple stress theory, power-law variation of the material, and the von Kármán geometric nonlinearity. The model contains a material length scale parameter that can capture the size effect in a functionally graded material, unlike the classical Euler–Bernoulli and Timoshenko beam theories. The influence of the parameter on static bending, vibration and buckling is investigated. The theoretical developments presented herein also serve to develop finite element models and determine the effect of the geometric nonlinearity and microstructure-dependent constitutive relations on post-buckling response.
Journal: Journal of the Mechanics and Physics of Solids - Volume 59, Issue 11, November 2011, Pages 2382–2399