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Volumn 4, Issue 2, 1998, Pages 273-304

Optimization of finite rod structures and L-convergence

Author keywords

Asymptotic analysis; Finite rod structures; FL convergence; Frozen fluxes; L convergence; Optimal structure; Stored energy; Structural optimization

Indexed keywords

ALGORITHMS; BOUNDARY VALUE PROBLEMS; CONTROL SYSTEM ANALYSIS; CONTROL SYSTEM SYNTHESIS; CONVERGENCE OF NUMERICAL METHODS; ITERATIVE METHODS; MATHEMATICAL MODELS; NONLINEAR CONTROL SYSTEMS; OPTIMIZATION; PARTIAL DIFFERENTIAL EQUATIONS; PROBLEM SOLVING; THEOREM PROVING;

EID: 0032047608     PISSN: 10792724     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1022894003445     Document Type: Article
Times cited : (3)

References (17)
  • 1
    • 0001818101 scopus 로고
    • A numerical algorithm for topology and shape optimization
    • M. Bendsoe and C. A. Mota-Soares, Eds. Kluwer
    • G. Allaire G. and G. A. Francfort, A numerical algorithm for topology and shape optimization. In: Topology Design of Structures, M. Bendsoe and C. A. Mota-Soares, Eds. Kluwer, 1992, 239-248.
    • (1992) Topology Design of Structures , pp. 239-248
    • Allaire, G.1    Francfort, G.A.2
  • 3
    • 2342482812 scopus 로고
    • Optimal design of three-dimensional axisymmetric elastic structures
    • A. Cherkaev and R. Palais, Optimal design of three-dimensional axisymmetric elastic structures. Publ. Univ. Utah (1994), 39 p.
    • (1994) Publ. Univ. Utah
    • Cherkaev, A.1    Palais, R.2
  • 4
    • 0024707743 scopus 로고
    • Optimal topologies of structures
    • U. Kirsch, Optimal topologies of structures. Appl. Mech. Rev. 42 (1989), No. 8, 223-239.
    • (1989) Appl. Mech. Rev. , vol.42 , Issue.8 , pp. 223-239
    • Kirsch, U.1
  • 5
    • 0001209119 scopus 로고
    • Modeling of the junction between two rods
    • H. Le Dret, Modeling of the junction between two rods. J. Math. Pures Appl. 68 (1989), 365-397.
    • (1989) J. Math. Pures Appl. , vol.68 , pp. 365-397
    • Le Dret, H.1
  • 6
    • 2342643176 scopus 로고
    • Theoremes de non-existence pour des problemes de control dans les coefficients
    • F. Murat, Theoremes de non-existence pour des problemes de control dans les coefficients. C. R. Acad. Sci. Paris 274 (1992), 395-398.
    • (1992) C. R. Acad. Sci. Paris , vol.274 , pp. 395-398
    • Murat, F.1
  • 7
    • 2342637449 scopus 로고
    • The principle of splitting of an averaged operator for a nonlinear system of equations in periodic and random skeletal structures
    • G. P. Panasenko, The principle of splitting of an averaged operator for a nonlinear system of equations in periodic and random skeletal structures. (Russian) USSR Dokl. 263 (1982), No. 1; English translation: Sov. Math. Dokl. 25 (1982), No. 2, 290-295.
    • (1982) USSR Dokl. , vol.263 , Issue.1
    • Panasenko, G.P.1
  • 8
    • 0007105130 scopus 로고
    • English translation
    • G. P. Panasenko, The principle of splitting of an averaged operator for a nonlinear system of equations in periodic and random skeletal structures. (Russian) USSR Dokl. 263 (1982), No. 1; English translation: Sov. Math. Dokl. 25 (1982), No. 2, 290-295.
    • (1982) Sov. Math. Dokl. , vol.25 , Issue.2 , pp. 290-295
  • 9
    • 0009516232 scopus 로고
    • Asymptotic solutions of the elasticity theory system of equations for lattice and skeletal structures
    • _, Asymptotic solutions of the elasticity theory system of equations for lattice and skeletal structures. (Russian) Math. Sb. 183 (1992), No. 1, 89-113; English translation: Russ. Acad. Sci. Sbornik Math., Am. Math. Soc. 75 (1993), No. 1, 85-110.
    • (1992) Math. Sb. , vol.183 , Issue.1 , pp. 89-113
  • 10
    • 2342514521 scopus 로고
    • English translation
    • _, Asymptotic solutions of the elasticity theory system of equations for lattice and skeletal structures. (Russian) Math. Sb. 183 (1992), No. 1, 89-113; English translation: Russ. Acad. Sci. Sbornik Math., Am. Math. Soc. 75 (1993), No. 1, 85-110.
    • (1993) Russ. Acad. Sci. Sbornik Math., Am. Math. Soc. , vol.75 , Issue.1 , pp. 85-110
  • 11
    • 2342534154 scopus 로고
    • Homogenization of lattice-like domains: L-convergence
    • _, Homogenization of lattice-like domains: L-convergence. Publ. d'Equipe d'Analyse Numerique Lyon, Saint-Etienne, CNRS URA 740 (1994), No. 178, 23 p. (to appear in: Nonlinear Partial Differential Equations and their Applications, H. Brezis, J. L. Lions, Eds, College de France Seminar, Vol. XIII).
    • (1994) Publ. d'Equipe d'Analyse Numerique Lyon, Saint-Etienne, CNRS URA , vol.740 , Issue.178
  • 12
    • 2342629635 scopus 로고    scopus 로고
    • to appear College de France Seminar
    • _, Homogenization of lattice-like domains: L-convergence. Publ. d'Equipe d'Analyse Numerique Lyon, Saint-Etienne, CNRS URA 740 (1994), No. 178, 23 p. (to appear in: Nonlinear Partial Differential Equations and their Applications, H. Brezis, J. L. Lions, Eds, College de France Seminar, Vol. XIII).
    • Nonlinear Partial Differential Equations and Their Applications , vol.13
    • Brezis, H.1    Lions, J.L.2
  • 13
    • 2342459409 scopus 로고
    • L-convergence and optimal design of rod structures
    • _, L-convergence and optimal design of rod structures. C. R. Acad. Sci. Paris, Sér. I 320 (1995), 1283-1288.
    • (1995) C. R. Acad. Sci. Paris, Sér. I , vol.320 , pp. 1283-1288
  • 14
    • 2342595523 scopus 로고
    • Optimization of lattice structures
    • Proceedings of I. G. Petrovsky's Conference, Moscow, 1995
    • _, Optimization of lattice structures. In: Proceedings of I. G. Petrovsky's Conference, Moscow, 1995. Russ. Math. Surv. 50 (1995), No. 4.
    • (1995) Russ. Math. Surv. , vol.50 , Issue.4
  • 15
    • 2342595522 scopus 로고
    • Doctor of Sciences in Physics and Mathematics Thesis. Moscow State Univ., Dept. of Numerical Analysis and Informatics, Moscow
    • _, Mathematical methods of the research of periodic structures. Doctor of Sciences in Physics and Mathematics Thesis. Moscow State Univ., Dept. of Numerical Analysis and Informatics, Moscow, 1989.
    • (1989) Mathematical Methods of the Research of Periodic Structures
  • 16
    • 44949271438 scopus 로고
    • Shape and topology optimization for generalized layout problems using the homogenization method
    • K. Suzuki and N. Kikuchi, Shape and topology optimization for generalized layout problems using the homogenization method. Comp. Math. Appl. Mech. Eng. (1991), No. 93, 291-318.
    • (1991) Comp. Math. Appl. Mech. Eng. , Issue.93 , pp. 291-318
    • Suzuki, K.1    Kikuchi, N.2
  • 17
    • 2342520424 scopus 로고
    • How to optimize mechanical structures simultaneously with respect to topology and geometry
    • N. Olhoff and G. I. N. Rozvany, Eds.
    • M. Koc̃vara and J. Zowe, How to optimize mechanical structures simultaneously with respect to topology and geometry. In: WCSMO-1: First World Congress of Structural and Multidisciplinary Optimization, N. Olhoff and G. I. N. Rozvany, Eds., 1995, 135-140.
    • (1995) WCSMO-1: First World Congress of Structural and Multidisciplinary Optimization , pp. 135-140
    • Koc̃vara, M.1    Zowe, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.