Nonlinear analysis of functionally graded microstructure-dependent beams Academic Article

abstract

• Nonlinear finite element models of functionally graded beams considering the von Krmn geometric nonlinearity, power-law variation of material through the beam height, and microstructure length scale parameter are developed for the Euler-Bernoulli beam theory and the Timoshenko beam theory. To capture the size effect, a modified couple stress theory with one length scale parameter is used. Such theories play crucial role in predicting accurate deflections of micro- and nano-beam structures. Numerical results are presented to show the effect of nonlinearity, shear deformation, power-law index, microstructural length scale, and boundary conditions on the bending response of beams under mechanical loads. In general, the effect of microstructural parameter is to stiffen the beam, while shear deformation has the effect of modeling realistically as flexible beams. 2012 Elsevier Ltd.

authors

• Reddy, Junuthula

published proceedings

• COMPOSITE STRUCTURES

author list (cited authors)

• Arbind, A., & Reddy, J. N.

citation count

• 93

complete list of authors

• Arbind, A||Reddy, JN

publication date

• April 2013

publisher

• Elsevier  Publisher

published in

• Composite Structures  Journal

keywords

• Bending
• Euler-bernoulli Beam Theory
• Functionally Graded Materials
• Microstructure Dependent Beam
• Nonlinear Finite Element Model
• Von Karmnonlinear Strain

Digital Object Identifier (DOI)

• 10.1016/j.compstruct.2012.10.003

start page

• 272

end page

• 281

volume

• 98

URL

• http://dx.doi.org/10.1016/j.compstruct.2012.10.003