Journal
COMPOSITE STRUCTURES
Volume 94, Issue 12, Pages 3664-3668Publisher
ELSEVIER SCI LTD
DOI: 10.1016/j.compstruct.2012.04.019
Keywords
Classical theory; Equations of motion; First-order theory; Functionally graded materials; Modified couple stress theory; Temperature-dependent properties
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Funding
- National Science Foundation [CMMI-1000790]
- Science, Mathematics, and Research for Transformation (SMART) Scholarship from the Department of Defense (DoD)
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A microstructure-dependent nonlinear theory for axisymmetric bending of circular plates, which accounts for through-thickness power-law variation of a two-constituent material, is developed using the principle of virtual displacements. The formulation is based on a modified couple stress theory, power-law variation of the material, temperature-dependent properties, and the von Karman geometric nonlinearity. Classical and first-order shear deformation theories are considered in the study. The modified couple stress theory contains a material length scale parameter that can capture the size effect in a functionally graded material plate. The theories presented herein can be used to develop analytical solutions of bending, buckling, and free vibration for the linear case and finite-element models for the nonlinear case to determine the effect of the geometric nonlinearity, power-law index, and microstructure-dependent constitutive relations on linear and nonlinear response of axisymmetric analysis of circular plates. (C) 2012 Elsevier Ltd. All rights reserved.
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