This paper describes an automated idealization process of FEA models monito
red by a mechanical criterion. This process, based on transformations of a
polyhedral geometry, allows large geometric modifications including topolog
y modifications (such as hole removal). Polyhedra are used as input geometr
y for model adaptation purposes because of their significant freedom for sh
ape modifications compared with CSG or B-Rep models. These polyhedra act as
intermediate models to form the adapted input geometry required for a fini
te element mesh generation.
These idealizations are carried out through a vertex removal process which
transforms the geometry of a part while preserving it within a discrete env
elope defined around its initial geometry. This envelope is obtained from a
mechanical criterion which can be based either on an a posteriori error es
timator or on a priori estimation. The use of such a criterion ensures that
all geometric transformations which keep the geometry of the part within t
his envelope do not significantly change the results of the FEA In addition
to geometric transformations strictly respecting this envelope, operators
used for idealization are also able to transfer specific data (like boundar
y conditions) from the initial geometry to the idealized geometry. Such ope
rators allow an extended automation of geometry simplification and idealiza
tion processes and ensure that the new geometry is more suited to the eleme
nt size requirements of the mesh generation process. This approach is illus
trated and validated through an example. Copyright (C) 2000 John Wiley & So
ns, Ltd.