Author(s)

W. H. Gerstle & P. Y. Cheng

Abstract

Constructive topological domain modeling for solution of problems with moving boundaries W. H. Gerstle & P. Y. Cheng Department of Civil Engineering, University of New Mexico, USA Abstract Both geometric modeling and finite element analysis are employed in fracture propagation modeling in solids. However, the link between geometric modeling, physical modeling, and finite element analysis is currently ad hoc. Constructive topological domain modeling (CTDM) provides an integrated solution. In CTDM, primitive topological domains (PTDs), each possessing a natural coordinate space, are combined in multiple n-dimensional Cartesian coordinate spaces, called charts, using generalizations of Boolean set operations, to create constructed topological domains (CTDs) capable of acting as the base spaces of fiber bundles. The PTDs embedded in charts create an atlas, within which the CTD is defined. The fiber of the bundle may describe, in addition to geometry, physical fields like density, displacement, stre

Keywords