FEA-driven Geometric Modelling for Meshless Methods
Fecha
2005-11
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Springer Paris
Resumen
Optimized Boolean Operations against orthogonal Fixed Grids (FG) for 2-manifold construction in quasi-meshless methods for Finite Element Analysis are presented -- A Piecewise Linear (PL) or Boundary Representation (B-Rep) B is assumed to be the boundary of a solid S ⊂ R3 -- On the other hand, R3 is partitioned into a 3-dimensional array of cubic, uniform cells Ci,j,k . Cells Ci,j,k with Ci,j,k ∩ S ≠Φ and Ci,j,k ∩ S ≠ Ci,j,k are particularly important for FG applications -- These are the cells Ci,j,k intersecting B, which happen to be Neither Inside nor Outside (NIO) of B -- The boundary ∂(Ci,j,k ∩ S ) of Ci,j,k ∩ S must be calculated from ∂Ci,j,k and B for a large number of cells Ci,j,k , which makes the normal boolean operations unpractical -- The article illustrates with examples the immersion of B-Rep models in Fixed Grids, visits the downstream results of the stress-strain calculations using FG and explains how this approach is used in Product Design Optimization
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@inproceedings{2005_Ruiz_FEA,
title={FEA-driven Geometric Modelling for Meshless Methods.},
author={Ruiz, O. and Granados, M. and Cadavid, C.},
booktitle={Virtual Concept},
pages={1--8},
isbn={2-287-28772-8},
address={Biarritz, France},
year={2005},
editor={Coutellier D. and Fischer, X.}
}