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Civil-Comp Proceedings
ISSN 1759-3433 CCP: 72
IDENTIFICATION, CONTROL AND OPTIMISATION OF ENGINEERING STRUCTURES Edited by: G. De Roeck and B.H.V. Topping
Paper IV.3
Topological Operators to Improve Finite Element Analysis Geometry Adaptation L. Fine, L. Remondini and J-C. Leon
Laboratoire Sols, Solides Structures, U.M.R. Grenoble, France L. Fine, L. Remondini, J-C. Leon, "Topological Operators to Improve Finite Element Analysis Geometry Adaptation", in G. De Roeck, B.H.V. Topping, (Editors), "Identification, Control and Optimisation of Engineering Structures", Civil-Comp Press, Edinburgh, UK, pp 107-117, 2000. doi:10.4203/ccp.72.4.3
Abstract
The use of finite element analysis during a design process is
often restricted to validation phases because of the time
needed to prepare the data and the geometric representation
of the analysis model and to generate an appropriate FE
mesh. Such input models may require substantial
simplifications of their geometry when it incorporates many
geometric aspects related to the technology of its
manufacturing process. Here, polyhedrons are used as input
geometric representation for geometry adaptation purposes
because of their significant freedom for shape modifications.
Geometric adaptation operations performing topological
changes are described to produce functions capable of
removing through holes which represent frequently details in
analysis models. The proposed approach fits into an
automatic process of localisation of through holes in a
polyhedron. This localisation process is based on a
decimation process of the polyhedron which repeatedly
removes vertices according to geometric criteria. When the
decimation process has reduced holes to specific schemes in
the polyhedron, topological criteria are used to locate
unambiguously the faces defining the through holes. Then,
hole removal operators are triggered to effectively remove
set of faces which define the holes. Specific treatments are
also described which can be used to locate and identify
through holes with complex contour curves, namely holes
with non convex sections. Again, these treatments are based
on topological criteria as well as on the decimation process
controlled through new vertex selection criteria. All this
localisation and detail removal process is controlled through
user defined data which characterises explicitly the relevant
details of a FE analysis. This input data can be expressed a
priori by the user based on his (resp. her) know-how or
automatically deduced from a posteriori error estimators.
Finally, examples are given which illustrate the behaviour of
operators described.
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