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Effective volume‐fraction optimization for thermal stress reduction in FGMs using irregular h ‐refinement
Author(s) -
Cho J. R.,
Park H. J.
Publication year - 2003
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.799
Subject(s) - volume fraction , discretization , finite element method , polygon mesh , reduction (mathematics) , finite volume method , fraction (chemistry) , mathematical optimization , volume (thermodynamics) , mathematics , materials science , mechanics , geometry , mathematical analysis , structural engineering , engineering , thermodynamics , physics , composite material , chemistry , organic chemistry
The volume fraction of constituent particles in functionally graded materials (FGM) varies continuously and functionally, and its optimal tailoring could be made by the numerical optimization incorporated with the finite element method. In such a case, the mesh density in finite element discretization of the volume fraction field influences the final design quality such that the further objective function reduction requires the refinement of volume fraction meshes. However, the uniform refinement of the volume fraction mesh is not effective, from the numerical point of view, particularly when the finite difference scheme is employed. This numerical inefficiency could be resolved by locally increasing the mesh density only where more volume‐fraction flexibility (i.e. more mesh density) is required. In this paper, we propose an effective volume‐fraction optimization procedure by applying the irregular h ‐refinement to the volume fraction discretization. Copyright © 2003 John Wiley & Sons, Ltd.