Nonlinear theories of axisymmetric bending of functionally graded circular plates with modified couple stress Academic Article

abstract

• 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 Krmn 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. 2012 Elsevier Ltd.

authors

• Reddy, Junuthula

published proceedings

• COMPOSITE STRUCTURES

author list (cited authors)

• Reddy, J. N., & Berry, J.

citation count

• 93

complete list of authors

• Reddy, JN||Berry, Jessica

publication date

• December 2012

publisher

• Elsevier  Publisher

published in

• Composite Structures  Journal

keywords

• Classical Theory
• Equations Of Motion
• First-order Theory
• Functionally Graded Materials
• Modified Couple Stress Theory
• Temperature-dependent Properties

Digital Object Identifier (DOI)

• 10.1016/j.compstruct.2012.04.019

start page

• 3664

end page

• 3668

volume

• 94

issue

• 12

URL

• http://dx.doi.org/10.1016/j.compstruct.2012.04.019