A Parallel Domain Decomposition BEM Algorithm for Three Dimensional Exponentially Graded Elasticity

Journal Article · Tue Jan 01 00:00:00 EST 2008 · Journal of Applied Mechanics

DOI:https://doi.org/10.1115/1.2936232· OSTI ID:974205

Ortiz Tavara, Jhonny E ^[1]; Shelton, Jr, William Allison ^[1]; Mantic, Vladislav ^[2]; Criado, Rafael ^[2]; Paris, Federico ^[2]; Gray, Leonard J ^[1]

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1. ORNL
2. University of Seville

A parallel domain decomposition boundary integral algorithm for three-dimensional exponentially graded elasticity has been developed. As this subdomain algorithm allows the grading direction to vary in the structure, geometries arising from practical FGM applications can be handled. Moreover, the boundary integral algorithm scales well with the number of processors, also helping to alleviate the high computational cost of evaluating the Green's function. Numerical results for cylindrical geometries show excellent agreement with the new analytical solution deduced for axisymmetric plane strain states in a radially graded material.

• Research Organization: Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
• Sponsoring Organization: USDOE Office of Science (SC)
• DOE Contract Number: DE-AC05-00OR22725
• OSTI ID: 974205
• Journal Information: Journal of Applied Mechanics, Vol. 75
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICAL METHODS AND COMPUTING
99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
ALGORITHMS
ANALYTICAL SOLUTION
ELASTICITY
THREE-DIMENSIONAL CALCULATIONS
PARALLEL PROCESSING
GREEN FUNCTION
STRAINS
Functionally graded materials
domain decomposition
boundary integrals