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View Conference Proceedings: Boundary Element Methods for Functionally Graded Materials

Citation: Paulino, Glaucio, Sutradhar, Alok and Gray, L. J. (2002) Boundary Element Methods for Functionally Graded Materials. In IABEM 2002, International Association for Boundary Element Methods, 2002-05-28-2002-05-30, , Austin TX:.
Collection: Multiscale Green's Functions for Nanostructures  
 
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Title Boundary Element Methods for Functionally Graded Materials
Author(s) Paulino, Glaucio
Sutradhar, Alok
Gray, L. J.
Keyword(s) functionally graded materials
boundary element methods
inhomogeneous materials
Galerkin approximation
Abstract/Summary Functionally graded materials (FGMs) possess a smooth variation of material properties due to continuous change in microstructural details. For example, the material gradation may change gradually from a pure ceramic to a pure metal. This work focuses on potential (both steady state and transient) and elasticity problems for inhomogeneous materials. The Green\'s function(GF) for these materials (e.g. exponentially graded) are expressed as the GF for the homogeneous material plus additional terms due to material gradation. The numerical implementations are performed using a Galerkin (rather than collocation) approximation. A number of examples have been carried out. The results of some specific test problems agree within plotting accuracy with available analytical solutions.
Date 2002-05-28
Copyright Notice http://creativecommons.org/licenses/by/1.0/
Title of Conference IABEM 2002, International Association for Boundary Element Methods
Conference Start Date 2002-05-28
Conference End Date 2002-05-30
Location of Conference Austin TX
Paper Presentation Date 2002-05-28
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