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Volumn 14, Issue 2, 2016, Pages 637-667

Optimization of textile-like materials via homogenization and beam approximations

Author keywords

Beam models; Dimension reduction; Homogenization; Linear elasticity; Optimization

Indexed keywords

BOUNDARY CONDITIONS; CONSTRAINED OPTIMIZATION; ELASTICITY; HOMOGENIZATION METHOD; OPTIMIZATION; STRESS ANALYSIS; STRUCTURAL OPTIMIZATION; STRUCTURAL PROPERTIES; TEXTILES;

EID: 84977275844     PISSN: 15403459     EISSN: 15403467     Source Type: Journal    
DOI: 10.1137/15M1017193     Document Type: Article
Times cited : (23)

References (26)
  • 1
    • 0742298560 scopus 로고    scopus 로고
    • Shape optimization by the homogenization method
    • Springer, Berlin
    • G. Allaire, Shape Optimization by the Homogenization Method, Appl. Math. Sci. 146, Springer, Berlin, 2001.
    • (2001) Appl. Math. Sci , vol.146
    • Allaire, G.1
  • 2
  • 3
    • 0003474569 scopus 로고
    • Homogenisation: Averaging processes in periodic media
    • Dordrecht, The Netherlands
    • N. Bakhvalov and G. Panasenko, Homogenisation: Averaging Processes in Periodic Media, Kluwer Academic Publishers, Dordrecht, The Netherlands, 1989.
    • (1989) Kluwer Academic Publishers
    • Bakhvalov, N.1    Panasenko, G.2
  • 4
    • 84898542480 scopus 로고    scopus 로고
    • Asymptotic dimension reduction of a Robin-Type elasticity boundary value problem in thin beams
    • Z. Bare, J. Orlik, and G. Panasenko, Asymptotic dimension reduction of a Robin-Type elasticity boundary value problem in thin beams, Appl. Anal., 93 (2014), pp. 1217-1238.
    • (2014) Appl. Anal , vol.93 , pp. 1217-1238
    • Bare, Z.1    Orlik, J.2    Panasenko, G.3
  • 5
    • 0003896318 scopus 로고    scopus 로고
    • Constrained optimization and Lagrange multiplier methods
    • Athena Scientific, Nashua, NH
    • D. Bertsekas, Constrained optimization and Lagrange multiplier methods, Optimization and Neural Computation, Athena Scientific, Nashua, NH, 1996.
    • (1996) Optimization and Neural Computation
    • Bertsekas, D.1
  • 6
    • 84877071109 scopus 로고    scopus 로고
    • Homogenization via unfolding in periodic elasticity with contact on closed and open cracks
    • D. Cioranescu, A. Damlamian, and J. Orlik, Homogenization via unfolding in periodic elasticity with contact on closed and open cracks, Asymptot. Anal., 82 (2013), pp. 201-232.
    • (2013) Asymptot. Anal , vol.82 , pp. 201-232
    • Cioranescu, D.1    Damlamian, A.2    Orlik, J.3
  • 8
    • 0003162589 scopus 로고
    • Shape optimization of structures for multiple loading conditions using a homogenization method
    • A. Diaz and M. Bendsøe, Shape optimization of structures for multiple loading conditions using a homogenization method, Structural Optimization, 4 (1992), pp. 17-22.
    • (1992) Structural Optimization , vol.4 , pp. 17-22
    • Diaz, A.1    Bendsøe, M.2
  • 9
    • 0000390501 scopus 로고
    • Existence theorems in elasticity
    • C. Truesdell, ed Springer, Berlin, Heidelberg
    • G. Fichera, Existence theorems in elasticity, in Linear Theories of Elasticity and Thermoelasticity, C. Truesdell, ed., Springer, Berlin, Heidelberg, 1973, pp. 347-389, doi:10.1007/978-3-662-39776-3 3.
    • (1973) Linear Theories of Elasticity and Thermoelasticity , Issue.3 , pp. 347-389
    • Fichera, G.1
  • 10
    • 84877994136 scopus 로고    scopus 로고
    • New development in freefem
    • F. Hecht, New development in FreeFem++, J. Numer. Math., 20 (2012), pp. 251-265.
    • (2012) J. Numer. Math , vol.20 , pp. 251-265
    • Hecht, F.1
  • 12
    • 33846881481 scopus 로고    scopus 로고
    • Homogenization for heat transfer in polycrystals with interfacial resistances
    • H. Hummel, Homogenization for heat transfer in polycrystals with interfacial resistances, Appl. Anal., 75 (2000), pp. 403-424
    • (2000) Appl. Anal , vol.75 , pp. 403-424
    • Hummel, H.1
  • 13
    • 0003297080 scopus 로고
    • Contact problems in elasticity: A study of variational inequalities and finite element methods
    • SIAM, Philadelphia
    • N. Kikuchi and J. Oden, Contact Problems in Elasticity: A Study of Variational Inequalities and Finite Element Methods, Stud. Appl. Math. 8, SIAM, Philadelphia, 1988.
    • (1988) Stud. Appl. Math , vol.8
    • Kikuchi, N.1    Oden, J.2
  • 14
    • 65349185668 scopus 로고    scopus 로고
    • Homogenization of constrained optimal control problems for one-dimensional elliptic equations on periodic graphs
    • P. Kogut and G. Leugering, Homogenization of constrained optimal control problems for one-dimensional elliptic equations on periodic graphs, ESAIM Control Optim. Calc. Var., 15 (2009), pp. 471-498.
    • (2009) ESAIM Control Optim. Calc. Var , vol.15 , pp. 471-498
    • Kogut, P.1    Leugering, G.2
  • 15
    • 0003790080 scopus 로고    scopus 로고
    • Asymptotic analysis of fields in multi-structures
    • Clarendon Press, Oxford University Press, New York
    • V. Kozlov, V. Maz'ya, and A. Movchan, Asymptotic Analysis of Fields in Multi-structures, Oxford Math. Monogr., Clarendon Press, Oxford University Press, New York, 1999.
    • (1999) Oxford Math. Monogr
    • Kozlov, V.1    Maz'ya, V.2    Movchan, A.3
  • 16
    • 0003239335 scopus 로고
    • Optimal control of systems governed by partial differential equations
    • translated from the French by S. K. Mitter, Springer-Verlag, Berlin
    • J.-L. Lions, Optimal Control of Systems Governed by Partial Differential Equations, Grundlehren Math. Wiss. 170, translated from the French by S. K. Mitter, Springer-Verlag, Berlin, 1971.
    • (1971) Grundlehren Math. Wiss 170
    • Lions, J.-L.1
  • 17
    • 0032002569 scopus 로고    scopus 로고
    • Heat conduction in fine scale mixtures with interfacial contact resistance
    • R. Lipton, Heat conduction in fine scale mixtures with interfacial contact resistance, SIAMJ. Appl. Math., 58 (1998), pp. 55-72, doi:10.1137/S0036139995295153.
    • (1998) SIAMJ. Appl. Math , vol.58 , pp. 55-72
    • Lipton, R.1
  • 19
  • 20
    • 0003292182 scopus 로고
    • Mathematical problems in elasticity and homogenization
    • North-Holland, Amsterdam
    • O. Oleinik, A. Shamaev, and G. Yosifian, Mathematical Problems in Elasticity and Homogenization, Stud. Math. Appl. 26, North-Holland, Amsterdam, 1992.
    • (1992) Stud. Math. Appl , vol.26
    • Oleinik, O.1    Shamaev, A.2    Yosifian, G.3
  • 21
    • 0348091374 scopus 로고
    • Asymptotic solutions of a system of elasticity theory for rod and frame structures
    • G. Panasenko, Asymptotic solutions of a system of elasticity theory for rod and frame structures, Russian Acad. Sci. Sb. Math., 75 (1993), pp. 85-110.
    • (1993) Russian Acad. Sci. Sb. Math , vol.75 , pp. 85-110
    • Panasenko, G.1
  • 23
    • 26044481753 scopus 로고    scopus 로고
    • Homogenization of problems of elasticity theory on periodic box and rod frames of critical thickness
    • S. Pastukhova, Homogenization of problems of elasticity theory on periodic box and rod frames of critical thickness, J. Math. Sci., 130 (2005), pp. 4954-5004, doi:10.1007/s10958-005-0392-8.
    • (2005) J. Math. Sci , vol.130 , pp. 4954-5004
    • Pastukhova, S.1
  • 24
    • 44949271438 scopus 로고
    • A homogenization method for shape and topology optimization
    • K. Suzuki and N. Kikuchi, A homogenization method for shape and topology optimization, Comput. Methods Appl. Mech. Engrg., 93 (1991), pp. 291-318.
    • (1991) Comput. Methods Appl. Mech. Engrg , vol.93 , pp. 291-318
    • Suzuki, K.1    Kikuchi, N.2
  • 25
    • 33748487201 scopus 로고    scopus 로고
    • Homogenization of elasticity problems on singular structures
    • V. Zhikov, Homogenization of elasticity problems on singular structures, Izv. Math., 66 (2002), p. 299.
    • (2002) Izv. Math , vol.66 , pp. 299
    • Zhikov, V.1
  • 26
    • 0142086985 scopus 로고    scopus 로고
    • Homogenization for elasticity problems on periodic networks of critical thickness
    • V. Zhikov and S. Pastukhova, Homogenization for elasticity problems on periodic networks of critical thickness, Russian Acad. Sci. Sb. Math., 194 (2003), p. 697
    • (2003) Russian Acad. Sci. Sb. Math , vol.194 , pp. 697
    • Zhikov, V.1    Pastukhova, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.