2016-11-182005-11@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.} }978-2-287-28772-5http://hdl.handle.net/10784/9722Optimized 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 Optimizationapplication/pdfenginfo:eu-repo/semantics/conferencePaperinfo:eu-repo/semantics/closedAccessECUACIONES DIFERENCIALESALGORITMOS GENÉTICOSMÉTODO DE ELEMENTOS FINITOSÁLGEBRA BOOLEANAFinite element methodDifferential equationsGenetic algorithmsAlgebra, booleanFEA (Finite Element Analysis)Modelado geométricoAcceso cerrado2016-11-18Ruíz, ÓscarGranados, MiguelCadavid, Carlos10.1007/2-287-28773-6