USE OF GRADED FINITE ELEMENTS TO MODEL THE BEHAVIOR OF NONHOMOGENEOUS MATERIALS

By M. Santare, John Lambros. 2000

213 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/34cef5ca86fb21f5ccbf62c86f30c8e4aaf9fda6

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In Computational Theory and Mathematics

In Mechanics of Materials

Citations in the corpus

Elastic-plastic analysis of two-dimensional functionally graded materials under thermal loading (2009, background): “Santare and Lambros (2000) introduced a formulation for calculation of material properties in graded elements which automatically interpolates the material properties within the element.”
Meshless local Petrov-Galerkin method for continuously nonhomogeneous linear viscoelastic solids (2006, background): “It should be remarked here that the use of graded elements, which allow graded material properties within each element ( Santare and Lambros, 2000; Kim and Paulino, 2002) could lead to an improved numerical solution of the present problem.”
Modelling functionally graded materials in heat transfer and thermal stress analysis by means of graded finite elements (2017, background): “[13] proposed a 2-D graded finite element with material properties evaluated directly at the Gauss points.”
The simple boundary element method for transient heat conduction in functionally graded materials (2004, background): “Further investigations on graded elements can be found in the papers by Santare and Lambros [40] and Kim and Paulino [41] for 2D problems, and in the paper by Walters et al. [42] for 3D problems.”
A new approach to compute T-stress in functionally graded materials by means of the interaction integral method (2004, methodology): “An alternative approach consists of using direct Gaussian integration formulation, in which the material properties are evaluated directly at the Gauss points (see [23,63]).”
Dynamic analysis of two-dimensional functionally graded thick hollow cylinder with finite length under impact loading (2009, methodology): “Sentare and Lambros [ 21 ] and Kim and Paulino [22] showed that graded finite elements can improve accuracy without increasing the number of degrees of freedom and decreasing the size of elements.”