Memory Analysis of Solid Model Representations for Heterogeneous Objects

[+] Author and Article Information
T. R. Jackson

The Charles Stark Draper Laboratory, 555 Technology Square, MS 93, Cambridge, MA 02139e-mail: tjackson@draper.com

W. Cho, N. M. Patrikalakis, E. M. Sachs

Massachusetts Institute of Technology, Massachusetts Avenue, Room 5-424, Cambridge, MA 02139

J. Comput. Inf. Sci. Eng 2(1), 1-10 (Jun 05, 2002) (10 pages) doi:10.1115/1.1476380 History: Received August 01, 2001; Revised March 01, 2002; Online June 05, 2002
Copyright © 2002 by ASME
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Grahic Jump Location
The Model Space represented by state-of-the-art solid modeling systems subdivides as Build Space into a model’s interior and exterior with materials associated to regions
Grahic Jump Location
The Model Space for objects consisting of graded material spans both the Build Space (X) and a Material Space (M) in which the material variations are defined. To define an FGM object, each point in the Build Space (x in X) must map to a composition in the Material Space (m(x) in M).
Grahic Jump Location
The maximum distance between the intended object’s boundary and the modeled boundary is the geometric accuracy (εg) of the modeled object
Grahic Jump Location
Visual interpretation of material accuracy, showing the difference between the desired m*(x) and the modeled composition m(x0) at the point x0 in Build Space
Grahic Jump Location
Steps of the information flow for FGM model processing
Grahic Jump Location
Relationships between classes for various modeling representations for FGM objects: (a) voxel, (b) triangulated boundary representation, (c) finite-element mesh, (d) Radial-Edge, and (e) Cell-Tuple-Graph
Grahic Jump Location
Two examples of derived FGMDomains: FGMRationalBézierCurve and FGMRationalBézierTetrahedron
Grahic Jump Location
(a) Initial compositions of block and the selection of the desired faces from which the composition will be graded; (b) Desired grading from the selected feature
Grahic Jump Location
(a) Wireframe view of block decomposed into FGMDomains; (b) Exploded view of three dimensional FGMDomains, colored according to their degrees of geometric and material variations
Grahic Jump Location
Graph of storage cost for representing a block (with composition graded from the boundary of a cavity) as a function of geometric accuracy
Grahic Jump Location
Graph of storage cost for representing a block (with composition graded from the boundary of a cavity) as a function of material accuracy



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