Vibration analysis of cracked FGM plates using higher-order shear deformation theory and extended isogeometric approach

Abstract

Vibration analysis of cracked FGM plates using higher-order shear deformation theory and extended isogeometric approach, International Journal of Mechanical Sciences, http://dx.doi.org/10.1016/j.ijmecsci. 2015.03.003 This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting galley proof before it is published in its final citable form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain.

Isogeometric analysis for nonlinear thermomechanical stability of functionally graded plates

“…where T K is called tangent stiffness matrix is defined as (43) in which the matrix NL K is strongly dependent on displacement…”

“…Tran et al. [29,30,42] studied the static bending, buckling load and also natural frequency of intact FGM plates and cracked ones [43] based on HSDT and then extended their previous work for thermal buckling analysis with various types of temperature distribution [44].…”

A Three-Dimensional Comparative Study of the Isoparametric Graded Boundary and Finite Element Methods for Nonhomogeneous FGM Plates with Eccentric Cutouts

“…Majority of the available researches have evaluated these effects for homogeneous or orthotropic composite structures. Some interesting works on FGM plates with discontinuities may be found in [Fantuzzi et al (2016);Tran et al (2015); Huang et al (2011);Bhardwaj et al (2015a, b)]. Kubair and Banu-Chandar [2008] investigated effects of the material heterogeneity on the stress concentration factor (SCF) due to presence of a circular hole in an FGM panel, using multiple isoparametric FE formulations.…”

Postbuckling of carbon nanotube reinforced functionally graded plates with edges elastically restrained against translation and rotation under axial compression

“…It is apparent that, apart from those analytical methods which are limited to only certain problems, numerical methods provide the best solution to the above problem; it can be approximated by using the traditional discretization techniques, for example the finite element method [34][35][36] and the finite difference method [37]. Meanwhile, the more recently proposed approximation technique, the element-free or mesh-free method, has become a powerful numerical tool for approximating solutions for many boundary value problems.…”