Modeling complex heterogeneous objects with non-manifold heterogeneous cells

CAD Computer Aided Design

Volumn 38, Issue 5, 2006, Pages 457-474

  Kou, X Y ^a   Tan, S T ^a   Sze, W S ^a  

^a UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

Attribute based reasoning; Boolean operation; Cellular model; Heterogeneous material; Non manifold

Indexed keywords

ALGORITHMS; BOOLEAN ALGEBRA; COMPUTER SOFTWARE; FORMAL LOGIC; MATHEMATICAL MODELS; SOFTWARE PROTOTYPING;

BOOLEAN OPERATION; CELLULAR MODEL; HETEROGENEOUS MATERIAL; NON-MANIFOLD;

CELLULAR MANUFACTURING;

EID: 33646157954     PISSN: 00104485     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cad.2005.11.009     Document Type: Article

References (68)

1. 3 composites densified by spark plasma sintering. J Eur Ceram Soc 19 (1999) 609
2. Fang Z., Starly B., and Sun W. Computer-aided characterization for effective mechanical properties of porous tissue scaffolds. Comput Aided Des 37 (2005) 65
3. Khor K.A., Gu Y.W., Pan D., and Cheang P. Microstructure and mechanical properties of plasma sprayed HA/YSZ/Ti-6Al-4V composite coatings. Biomaterials 25 (2004) 4009
4. Sanchez-Herencia A.J., Moreno R., and Jurado J.R. Electrical transport properties in zirconia/alumina functionally graded materials. J Eur Ceram Soc 20 (2000) 1611
5. Ruys A.J., Popov E.B., Sun D., Russell J.J., and Murray C.C.J. Functionally graded electrical/thermal ceramic systems. J Eur Ceram Soc 21 (2001) 2025
6. 2 coating. J Eur Ceram Soc 23 (2003) 3119
7. Vel S.S., and Batra R.C. Three-dimensional analysis of transient thermal stresses in functionally graded plates. Int J Solids Struct 40 (2003) 7181
8. Qian X., and Dutta D. Design of heterogeneous turbine blade. Comput Aided Des 35 (2003) 319
9. 4-TaN composites. Part I: Densification and microstructure. J Eur Ceram Soc 21 (2001) 219
10. Li J.Q., Zeng X.R., Tang J.N., and Xiao P. Fabrication and thermal properties of a YSZ-NiCr joint with an interlayer of YSZ-NiCr functionally graded material. J Eur Ceram Soc 23 (2003) 1847
11. Nemat-Alla M. Reduction of thermal stresses by developing two-dimensional functionally graded materials. Int J Solids Struct 40 (2003) 7339
12. Lee Y-M. Thermal analysis of heterogeneous solids (Galerkin method, Green's function). PhD thesis, The University of Texas at Arlington; 1991.
13. Uemura. The activities of FGM on new application. Presented at Functionally graded materials VII. Proceedings of the seventh international symposium on functionally graded materials, Materials Science Forum, Beijing, China; 2002.
14. Vitale Brovarone C., Verne E., Krajewski A., and Ravaglioli A. Graded coatings on ceramic substrates for biomedical applications. J Eur Ceram Soc 21 (2001) 2855
15. Ding S.-J. Properties and immersion behavior of magnetron-sputtered multi-layered hydroxyapatite/titanium composite coatings. Biomaterials 24 (2003) 4233
16. Dokoumetzidis A., Karalis V., Iliadis A., and Macheras P. The heterogeneous course of drug transit through the body. Trends Pharmacol Sci 25 (2004) 140
17. Watari F, Kondo H. Development of functionally graded implant and dental post for bio-medical application. Presented at Functionally graded materials VII. Proceedings of the seventh Internatinal symposium on functionally graded materials, materials science forum, Beijing, China; 2002.
18. Schroeder C., Regli W.C., Shokoufandeh A., and Sun W. Computer-aided design of porous artifacts. Comput Aided Des 37 (2005) 339
19. Weiss L.E., Amon C.H., Finger S., Miller E.D., Romero D., Verdinelli I., et al. Bayesian computer-aided experimental design of heterogeneous scaffolds for tissue engineering. Comput Aided Des 37 (2005) 1127
20. Kumar V., and Dutta D. Approach to modeling and representation of heterogeneous objects. J Mech Des Trans ASME 120 (1998) 659
21. Kumar V., Burns D., Dutta D., and Hoffmann C. A framework for object modeling. Comput Aided Des 31 (1999) 541
22. Jackson T.R., Cho W., and Sachs E.M. Memory analysis of solid model representations for heterogeneous objects. J Comput Inf Sci Eng 2 (2002) 1
23. Siu Y.K., and Tan S.T. Source-based heterogeneous solid modeling. Comput Aided Des 34 (2002) 41
24. Adzhiev V, Kartasheva E. Cellular-functional modeling of heterogeneous objects. Proceedings of the seventh ACM symposium on Solid modeling and applications, Germany; 2002.
25. Kou X.Y., and Tan S.T. A hierarchical representation for heterogeneous object modeling. Comput Aided Des 37 (2005) 307
26. Shin K.-H., and Dutta D. Constructive representation of heterogeneous objects. J Comput Inf Sci Eng 1 (2001) 205
27. Sun W., and Hu X. Reasoning Boolean operation based modeling for heterogeneous objects. Comput Aided Des 34 (2002) 481
28. Liu H., Maekawa T., Patrikalakis N.M., Sachs E.M., and Cho W. Methods for feature-based design of heterogeneous solids. Comput Aided Des 36 (2004) 1141
29. Samanta K., and Koc B. Feature-based design and material blending for free-form heterogeneous object modeling. Comput Aided Des 37 (2005) 287
30. Biswas A., Shapiro V., and Tsukanov I. Heterogeneous material modeling with distance fields. Comput Aided Des 21 (2004) 215
31. Zhang X.-J., Chen K.-Z., and Feng X.-A. Optimization of material properties needed for material design of components made of multi-heterogeneous materials. Mater Des 25 (2004) 369
32. Bidarra R., de K.J., and Bronsvoort W.F. Representation and management of feature information in a cellular model. Comput Aided Des 30 (1998) 301
33. Shin K-H. Representation and process planning for layered manufacturing of heterogeneous objects. PhD Thesis. University of Michigan; 2002.
34. Siu YK. Modeling and prototyping of heterogeneous solid CAD models. PhD Thesis. Department of Mechanical Engineering, The University of Hong Kong; 2003.
35. Zhu F. Visualized CAD modeling and layered manufacturing modeling for components made of a multiphase perfect material. MPhil Thesis. Department of Mechanical Engineering. The University of Hong Kong; 2004.
36. Zhang XJ. An effective design method for components made of a multiphase perfect material. PhD Thesis. Department of Mechanical Engineering. The University of Hong Kong; 2005.
37. Jackson TR. Analysis of functionally graded material object representation methods. PhD Thesis. Massachusetts Institute of Technology; 2000.
38. Liu H. Algorithms for design and interrogation of functionally graded material solids. SM Thesis. Massachusetts Institute of Technology; 2000.
39. Martin W, Cohen E. Representation and extraction of volumetric attributes using trivariate splines: a mathematical framework. Proceedings of the sixth ACM symposium on solid modeling and applications; 2001. p. 234.
40. Pasko A., Adzhiev V., Schmitt B., and Schlick C. Constructive hypervolume modeling. Graph Models 63 (2001) 413
41. Siu Y.K., and Tan S.T. Modeling the material grading and structures of heterogeneous objects for layered manufacturing. Comput Aided Des 34 (2002) 705
42. Kartasheva E, Adzhiev V, Pasko A, Fryazinov O, Gasilov V. Discretization of functionally based heterogeneous objects. ACM symposium on solid modeling and applications. Proceedings of the eighth ACM symposium on solid modeling and applications; 2003. p. 145.
43. Qian X., and Dutta D. Heterogeneous object modeling through direct face neighborhood alteration. Comput Graph 27 (2003) 943
44. Hua J, He Y, Qin H. Multiresolution heterogeneous solid modeling and visualization using trivariate simplex splines. Proceedings of the ninth ACM symposium on solid modeling and applications, Genova, Italy, June; 2004. p. 47.
45. Cheng J., and Lin F. Approach of heterogeneous bio-modeling based on material features. Comput Aided Des 37 (2005) 1115
46. Wang M.Y., and Wang X. A level-set based variational method for design and optimization of heterogeneous objects. Comput Aided Des 37 (2005) 321
47. Adzhiev V., Kartasheva E., Kunii T., Pasko A., and Schmitt B. Hybrid cellular-functional modeling of heterogeneous objects. J Comput Inf Sci Eng 2 (2002) 312
48. Chen K.-Z., and Feng X.-A. Computer-aided design method for the components made of heterogeneous materials. Comput Aided Des 35 (2003) 453
49. Muller-Karger C.M., Rank E., and Cerrolaza M. p-Version of the finite-element method for highly heterogeneous simulation of human bone. Finite Elem Anal Des 40 (2004) 757
50. Yi H.C., Guigné J.Y., Manerbino A.R., Robinson L.A., Ma J., and Moore J.J. Modeling and fabrication of functionally graded materials by the combustion synthesis technique. Functionally Graded Mater VII Mater Sci Forum 423 (2003) 239
51. Natekar D., Zhang X., and Subbarayan G. Constructive solid analysis: a hierarchical, geometry-based meshless analysis procedure for integrated design and analysis. Comput Aided Des 36 (2004) 473
52. Mortenson M.E. Geometric modeling. 2nd ed (1997), Wiley, New York
53. Arbab F. Set models and boolean operations for solids and assemblies. IEEE Comput Graph Appl 10 (1990) 76
54. Yamaguchi Y., and Kimura F. Nonmanifold topology based on coupling entities. Comput Graph Appl IEEE 15 (1995) 42
55. Cavalcanti P.R., Carvalho P.C.P., and Martha L.F. Non-manifold modelling: an approach based on spatial subdivision. Comput Aided Des 29 (1997) 209
56. Sriram R.D., Wong A., and He L.-X. GNOMES: an object-oriented nonmanifold geometric engine. Comput Aided Des 27 (1995) 853
57. Ferrucci V. Generalised extrusion of polyhedra. Proceedings on the second ACM symposium on solid modeling and applications, Montreal, Quebec, Canada; 1993. p. 35.
58. Weiler KJ. Topological structures for geometric modeling. PhD Thesis. Rensselaer Polytechnic Institute; 1986.
59. Keen AA. A non-manifold shape representation. PhD Thesis. Texas A&M University; 1993.
60. Rossignac J.R., and Requicha A.A.G. Constructive non-regularized geometry. Comput Aided Des 23 (1991) 21
61. Corney J. 3D modeling with the ACIS kernel and toolkit (1997), Wiley, New York
62. Gursoz E.L., Choi Y., and Prinz F.B. Boolean set operations on non-manifold boundary representation objects. Comput Aided Des 23 (1991) 33
63. Kou XY, Tan ST. An interactive CAD environment for heterogeneous object design. Proceedings of ASME 2004 design engineering technical conferences, September 28-October 2, 2004, Salt Lake City, Utah USA; 2004.
64. ACIS, Spatial Corp, http://www.spatial.com/
65. OpenGL, Silicon Graphics Inc, http://www.opengl.org/
66. 3D Printer, Z Corporation, http://www.zcorp.com/
67. Miyamoto Y. Functionally graded materials: design, processing, and applications (1999), Kluwer, Boston, MA
68. Li J.-F., Nishio N., Kawasaki A., and Watanabe R. Development of diamond tools for superprecision machining with compositionally graded layers from silicon carbide shank to diamond chip. J Jpn Soc Powder Powder Metall (1994) 653