Use of Graded Finite Elements to Model the Behavior of Nonhomogeneous Materials

DOI10.1115/1.1328089zbMath1110.74660OpenAlexW2108927873WikidataQ61534526 ScholiaQ61534526MaRDI QIDQ3443501

John Lambros, Michael H. Santare

Publication date: 1 June 2007

Published in: Journal of Applied Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1115/1.1328089

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX)

Related Items (30)

Avoiding negative elastic moduli when using Lagrange interpolation for material grading in finite element analysis ⋮ Three-dimensional stress and free vibration analyses of functionally graded plates with circular holes by the use of the graded finite element method ⋮ Evaluation of Green's function derivatives for exponentially graded elasticity ⋮ Elastic-plastic analysis of two-dimensional functionally graded materials under thermal loading ⋮ Two dimensional functionally graded material finite thick hollow cylinder axisymmetric vibration mode shapes analysis based on exact elasticity theory ⋮ Sliding frictional contact between a rigid punch and a laterally graded elastic medium ⋮ An adaptive global-local approach to modeling functionally graded materials ⋮ Transient thermal stresses in two-dimensional functionally graded thick hollow cylinder with finite length ⋮ Some simple Cartesian solutions to plane non-homogeneous elasticity problems ⋮ Layout and material gradation in topology optimization of functionally graded structures: a global-local approach ⋮ General plane elasticity solution for non-homogeneous materials ⋮ Harmonic acoustic waves in FG rods with exponential inhomogeneity ⋮ Numerical modeling of functionally graded materials using a variational formulation ⋮ A scaled boundary finite element formulation with bubble functions for elasto-static analyses of functionally graded materials ⋮ Natural frequency analysis of 2D-FGM thick hollow cylinder based on three-dimensional elasticity equations ⋮ Cohesive modeling of dynamic fracture in functionally graded materials ⋮ Three-dimensional fracture analysis of FGM coatings under thermomechanical loading ⋮ Three-Dimensional Finite Element Modelling of Free Vibrations of Functionally Graded Sandwich Panels ⋮ Transient heat conduction in a functionally graded strip in contact with well stirred fluid with an outside heat source ⋮ Hybrid graded element model for transient heat conduction in functionally graded materials ⋮ TRANSIENT HEAT CONDUCTION IN FUNCTIONALLY GRADED MATERIALS ⋮ Green's function expansion for exponentially graded elasticity ⋮ Three-dimensional mixed-mode stress intensity factors for cracks in functionally graded materials using enriched finite elements ⋮ Meshless local Petrov-Galerkin method for continuously nonhomogeneous linear viscoelastic solids ⋮ Bending analysis of thin functionally graded plate under in-plane stiffness variations ⋮ An improved isogeometrical analysis approach to functionally graded plane elasticity problems ⋮ Modelling functionally graded materials in heat transfer and thermal stress analysis by means of graded finite elements ⋮ Reduction of thermal stresses by composition optimization of two-dimensional functionally graded materials ⋮ Dynamic analysis of two-dimensional functionally graded thick hollow cylinder with finite length under impact loading ⋮ The simple boundary element method for transient heat conduction in functionally graded materials

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