Journal ArticleDOI
Stochastic Vibration Analysis of Functionally Graded Plates with Material Randomness Using Cell-Based Smoothed Discrete Shear Gap Method
Mohitrajhu Lingan Kumaraian,Jayamanideep Rebbagondla,Tittu Varghese Mathew,Sundararajan Natarajan +3 more
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TLDR
In this article, a cell-based smoothed finite element method with discrete shear gap technique is used to study the stochastic free vibration behavior of functionally graded plates with material uncertainty.Abstract:
A cell-based smoothed finite element method with discrete shear gap technique is used to study the stochastic free vibration behavior of functionally graded plates with material uncertainty. The pl...read more
Citations
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Modeling the dissimilar material flow and mixing in friction stir welding of aluminum to magnesium alloys
TL;DR: In this article, a model for friction stir welding of aluminum to magnesium alloys is developed, where the mixing dissimilar materials in the stirred zone are treated by a method similar to the functionally graded material, the physical parameters are exponentially related to the real volume fraction, and the influence of volume fraction index on the material distribution is analyzed.
Journal ArticleDOI
Hybrid uncertainty analysis of functionally graded plates via multiple-imprecise-random-field modelling of uncertain material properties
TL;DR: In this article, the spectral stochastic finite element framework is extended to perform mixed uncertainty analysis of functionally graded material whereby the spatial variation of elastic modulus of the plate is uniquely characterised as the multiple-imprecise-random-field modelling more than a purely homogeneous random field.
Journal ArticleDOI
Novel quadtree algorithm for adaptive analysis based on cell-based smoothed finite element method
TL;DR: A novel adaptive technique is developed that combines a newly developed quadtree algorithm with the cell-based smoothed finite element method (CS-FEM) for automatic mesh adaptation using quadrilateral elements for more proficient analysis of complex geometry.
Journal ArticleDOI
Nonlinear random responses and fatigue prediction of elastically restrained laminated composite panels in thermo-acoustic environments
TL;DR: In this paper, a formulation for predicting the nonlinear random response of the elastically restrained laminated composite panel subjected to thermo-acoustic loads is presented, based on the laminated plate theory and Von Karman large deflection and classical thin plate theories.
Journal ArticleDOI
Influence of Material Stochasticity on Buckling Characteristics of Initially Imperfect Higher-Order Shear Deformable Gradient Plates
Mohammed Shakir,Mohammad Talha +1 more
TL;DR: In this paper, the influence of material stochasticity on buckling characteristics of higher-order shear deformable gradient plates with initial geometric imperfections was demonstrated, and the authors showed that the buckling properties of the gradient plate can be improved by using a deformable deformable surface.
References
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Journal ArticleDOI
Random field finite elements
TL;DR: In this article, the probabilistic finite element method (PFEM) is formulated for linear and non-linear continua with inhomogeneous random fields, and the random field is also discretized.
Journal ArticleDOI
A unified approach for shear-locking-free triangular and rectangular shell finite elements
TL;DR: In this article, a new concept for the construction of locking-free finite elements for bending of shear deformable plates and shells, called DSG (Discrete Shear Gap) method, is presented.
Journal ArticleDOI
Free vibration analysis of functionally graded plates using the element-free kp-Ritz method
X. Zhao,Yiu-Yin Lee,K.M. Liew +2 more
TL;DR: A free vibration analysis of metal and ceramic functionally graded plates that uses the element-free kp-Ritz method is presented in this paper, where the material properties of the plates are assumed to vary continuously through their thickness according to a power-law distribution of the volume fractions of the plate constituents.
Journal ArticleDOI
Functionally Graded Composite Materials: An Overview
TL;DR: Functionally graded composite materials (FGCMs) are inhomogeneous materials, consisting of two (or more) different materials, engineered to have a continuously varying spatial composition profile as mentioned in this paper.
Journal ArticleDOI
Spectral Stochastic Finite-Element Formulation for Reliability Analysis
Roger Ghanem,Pol D. Spanos +1 more
TL;DR: In this article, a spectral expansion of the nodal random variables is introduced involving a basis in the space of random variables, which consists of the polynomial chaoses that are polynomials orthogonal with respect to the Gaussian probability measure.
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