MODIFIED COUPLE STRESS THEORIES OF FUNCTIONALLY GRADED BEAMS AND PLATES
In this paper an overview of general third-order beam and plate theories that account for (a) geometric nonlinearity, (b) microstructure-dependent size effects, and (c) two-constituent material variation through the thickness (i. e., functionally graded material beams and plates) is presented. A detailed derivation of the equations of motion, using Hamiltons principle, is presented, and it is based on a modified couple stress theory, power-law variation of the material through the thickness, and the von Karman nonlinear strains. The modified couple stress theory includes a material length scale parameter that can capture the size effect in a functionally graded material. The governing equations of motion derived herein for a general third-order theory with geometric nonlinearity, microstructure dependent size effect, and material gradation through the thickness are specialized to classical and shear deformation beam and plate theories available in the literature. The theory presented herein also can be used to develop finite element models and determine the effect of the geometric nonlinearity, microstructure-dependent size effects, and material grading through the thickness on bending and post-buckling response of elastic beams and plates.
Functionally graded materials modified couple stress theory shear deformable beams and plates the Von Karman nonlinearity.
J.N.Reddy J.Kim
Department of Mechanical Engineering, Texas A&M University College Station, Texas 77843-3123 USA Department of Mechanical ngineering, Texas A&M University College Station, Texas 77843-3123 USA
国际会议
The IJSSD Symposium 2012 on Progress in Structural Stability and Dynamics(2012国际结构稳定与动力学进展会议)
南京
英文
1-8
2012-04-14（万方平台首次上网日期，不代表论文的发表时间）