This paper proposes a constructive representation scheme for heterogeneous objects (or FGMs). In particular, this scheme focuses on the construction of complicated heterogeneous objects, guaranteeing desired material continuities at all the interfaces. In order to create various types of heterogeneous primitives, we first describe methods for specifying material composition functions such as geometry-independent, geometry-dependent functions, and multiple sets of these functions. Constructive Material Composition (CMC) and corresponding heterogeneous Boolean Operators (e.g., material union, difference, intersection, and partition) are then proposed to illustrate how material continuities are dealt with. Finally, we will describe the model hierarchy and data structure for computer representation. Even though the constructive representation alone is sufficient for modeling heterogeneous objects, the proposed scheme pursues a hybrid representation between decomposition and construction. That is because hybrid representation can avoid unnecessary growth of binary trees.
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September 2001
Technical Papers
Constructive Representation of Heterogeneous Objects
Ki-Hoon Shin,
Ki-Hoon Shin
Department of Mechanical Engineering, University of Michigan, Ann Arbor, MI 48109-2125
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Debasish Dutta
Debasish Dutta
Department of Mechanical Engineering, University of Michigan, Ann Arbor, MI 48109-2125
Search for other works by this author on:
Ki-Hoon Shin
Department of Mechanical Engineering, University of Michigan, Ann Arbor, MI 48109-2125
Debasish Dutta
Department of Mechanical Engineering, University of Michigan, Ann Arbor, MI 48109-2125
Contributed by the Computer-Aided Product Development Committee for publication in the JOURNAL OF COMPUTING AND INFORMATION SCIENCE IN ENGINEERING. Manuscript received November 2000; revised June 2001. Associate Editor: S. Szykman.
J. Comput. Inf. Sci. Eng. Sep 2001, 1(3): 205-217 (13 pages)
Published Online: June 1, 2001
Article history
Received:
November 1, 2000
Revised:
June 1, 2001
Citation
Shin , K., and Dutta, D. (June 1, 2001). "Constructive Representation of Heterogeneous Objects ." ASME. J. Comput. Inf. Sci. Eng. September 2001; 1(3): 205–217. https://doi.org/10.1115/1.1403448
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