메뉴 건너뛰기




Volumn 25, Issue 7, 2008, Pages 470-488

Shape sensitivity of constructively represented geometric models

Author keywords

Constructive representation; Implicit representation; R functions; Shape sensitivity

Indexed keywords

BOOLEAN ALGEBRA; DISPERSIONS; INTEGRAL EQUATIONS; OPTIMIZATION; PHOTORESISTS;

EID: 49949093828     PISSN: 01678396     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cagd.2008.01.005     Document Type: Article
Times cited : (23)

References (37)
  • 1
    • 0842290715 scopus 로고    scopus 로고
    • Structural optimization using sensitivity analysis and a level-set method
    • Allaire G., Jouve F., and Toader A.M. Structural optimization using sensitivity analysis and a level-set method. Journal of Computational Physics 194 (2004) 363-393
    • (2004) Journal of Computational Physics , vol.194 , pp. 363-393
    • Allaire, G.1    Jouve, F.2    Toader, A.M.3
  • 2
    • 0023862306 scopus 로고
    • A shape optimization approach based on natural design variables and shape functions
    • Belegundu A.D., and Rajan S.D. A shape optimization approach based on natural design variables and shape functions. Computer Methods in Applied Mechanics 66 1 (1988) 87-106
    • (1988) Computer Methods in Applied Mechanics , vol.66 , Issue.1 , pp. 87-106
    • Belegundu, A.D.1    Rajan, S.D.2
  • 4
    • 0026899332 scopus 로고
    • Three-dimensional shape optimization using fully automatic mesh generation
    • Botkin M.E. Three-dimensional shape optimization using fully automatic mesh generation. AIAA Journal 30 7 (1992) 1932-1934
    • (1992) AIAA Journal , vol.30 , Issue.7 , pp. 1932-1934
    • Botkin, M.E.1
  • 6
    • 0001263230 scopus 로고
    • A geometry-based parameterization method for shape design of elastic solids
    • Chang K.H., and Choi K.K. A geometry-based parameterization method for shape design of elastic solids. Mechanics of Structures and Machines 20 22 (1992) 215-252
    • (1992) Mechanics of Structures and Machines , vol.20 , Issue.22 , pp. 215-252
    • Chang, K.H.1    Choi, K.K.2
  • 9
    • 0031117677 scopus 로고    scopus 로고
    • Three-dimensional shape optimization with variational geometry
    • Chen S., and Tortorelli D.A. Three-dimensional shape optimization with variational geometry. Structural Optimization 13 (1997) 81-94
    • (1997) Structural Optimization , vol.13 , pp. 81-94
    • Chen, S.1    Tortorelli, D.A.2
  • 12
    • 21644477505 scopus 로고    scopus 로고
    • Freytag, M., Shapiro, V., 2004. B-rep SE: simplicially enhanced boundary representation. In: Elber, G., Patrikalakis, N., Brunet, P. (Eds.), ACM Symposium on Solid Modeling and Applications, Genova, Italy, 2004, pp. 157-168
    • Freytag, M., Shapiro, V., 2004. B-rep SE: simplicially enhanced boundary representation. In: Elber, G., Patrikalakis, N., Brunet, P. (Eds.), ACM Symposium on Solid Modeling and Applications, Genova, Italy, 2004, pp. 157-168
  • 16
    • 0038456079 scopus 로고
    • Erep, an editable, high-level representation for geometric design and analysis
    • Wilson P., Wozny M., and Pratt M. (Eds), North-Holland
    • Hoffmann C.M., and Juan R. Erep, an editable, high-level representation for geometric design and analysis. In: Wilson P., Wozny M., and Pratt M. (Eds). Geometric and Product Modeling (1993), North-Holland
    • (1993) Geometric and Product Modeling
    • Hoffmann, C.M.1    Juan, R.2
  • 19
    • 0026868391 scopus 로고
    • Constructive solid geometry approach to three-dimensional structural shape optimization
    • Kodiyalam S., Kumar V., and Finnigan P. Constructive solid geometry approach to three-dimensional structural shape optimization. AIAA Journal 30 5 (1992) 1408-1415
    • (1992) AIAA Journal , vol.30 , Issue.5 , pp. 1408-1415
    • Kodiyalam, S.1    Kumar, V.2    Finnigan, P.3
  • 20
    • 0020187244 scopus 로고
    • Algorithms for computing the volume and other integral properties of solids. i. Known methods and open issues
    • Lee Y.T., and Requicha A.A.G. Algorithms for computing the volume and other integral properties of solids. i. Known methods and open issues. Communications on ACM 25 9 (1982) 635-641
    • (1982) Communications on ACM , vol.25 , Issue.9 , pp. 635-641
    • Lee, Y.T.1    Requicha, A.A.G.2
  • 21
    • 0020183373 scopus 로고
    • Algorithms for computing the volume and other integral properties of solids. ii. A family of algorithms based on representation conversion and cellular approximation
    • Lee Y.T., and Requicha A.A.G. Algorithms for computing the volume and other integral properties of solids. ii. A family of algorithms based on representation conversion and cellular approximation. Communications on ACM 25 9 (1982) 642-650
    • (1982) Communications on ACM , vol.25 , Issue.9 , pp. 642-650
    • Lee, Y.T.1    Requicha, A.A.G.2
  • 22
    • 49949114222 scopus 로고    scopus 로고
    • Olhoff, N., Lund, E., Rasmussen, J., 1992. Concurrent engineering design optimization in a cad environment. Special report 16, Institute of Mechanical Engineering, Aalborg University
    • Olhoff, N., Lund, E., Rasmussen, J., 1992. Concurrent engineering design optimization in a cad environment. Special report 16, Institute of Mechanical Engineering, Aalborg University
  • 23
    • 44749084234 scopus 로고
    • Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
    • Osher S., and Sethian J.A. Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations. Journal of Computational Physics 79 (1988) 12-49
    • (1988) Journal of Computational Physics , vol.79 , pp. 12-49
    • Osher, S.1    Sethian, J.A.2
  • 24
    • 0030713503 scopus 로고    scopus 로고
    • Raghothama, S., Shapiro, V., 1997. Necessary conditions for boundary representation variance. In: Proceedings of the Thirteenth ACM Symposium on Computational Geometry, June 4-6
    • Raghothama, S., Shapiro, V., 1997. Necessary conditions for boundary representation variance. In: Proceedings of the Thirteenth ACM Symposium on Computational Geometry, June 4-6
  • 29
    • 0001176192 scopus 로고    scopus 로고
    • Structural boundary design via level set and immersed interface methods
    • Sethian J.A., and Wiegmann A. Structural boundary design via level set and immersed interface methods. Journal of Computational Physics 163 2 (2000) 489-528
    • (2000) Journal of Computational Physics , vol.163 , Issue.2 , pp. 489-528
    • Sethian, J.A.1    Wiegmann, A.2
  • 30
    • 49949114431 scopus 로고    scopus 로고
    • Shapiro, V., 1988. Theory of R-functions and applications: A primer. Technical Report, Cornell University
    • Shapiro, V., 1988. Theory of R-functions and applications: A primer. Technical Report, Cornell University
  • 31
    • 0032670960 scopus 로고    scopus 로고
    • Shapiro, V., Tsukanov, I., 1999. Implicit functions with guaranteed differential properties. In: Proceedings of Fifth ACM Symposium on Solid Modeling and Applications, pp. 258-269
    • Shapiro, V., Tsukanov, I., 1999. Implicit functions with guaranteed differential properties. In: Proceedings of Fifth ACM Symposium on Solid Modeling and Applications, pp. 258-269
  • 33
    • 0008550318 scopus 로고
    • A geometric representation scheme suitable for shape optimization
    • Tortorelli D.A. A geometric representation scheme suitable for shape optimization. Mechanics of Structures and Machines 21 (1993) 95-121
    • (1993) Mechanics of Structures and Machines , vol.21 , pp. 95-121
    • Tortorelli, D.A.1
  • 35
    • 49949119560 scopus 로고    scopus 로고
    • UGS PLM SOLUTIONS: Parasolid. Software
    • UGS PLM SOLUTIONS: Parasolid. Software


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.