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Volumn 59, Issue 3, 2007, Pages 301-321

Constrained optimization for interface cracks in composite materials subject to non-penetration conditions

Author keywords

Composite material; Constrained optimization; Interface crack; Semi smooth Newton methods; Variational methods

Indexed keywords

ALGORITHMS; CONSTRAINED OPTIMIZATION; CRACKS; ELASTICITY; NEWTON-RAPHSON METHOD;

EID: 35448986030     PISSN: 00220833     EISSN: 15732703     Source Type: Journal    
DOI: 10.1007/s10665-006-9113-7     Document Type: Article
Times cited : (7)

References (27)
  • 1
    • 0004830168 scopus 로고
    • Three-dimensional problems in the theory of elasticity
    • New York
    • Lur'e AI (1964) Three-dimensional problems in the theory of elasticity. Interscience, New York
    • (1964) Interscience
    • Lur'e, A.I.1
  • 4
    • 0029539060 scopus 로고
    • Three-dimensional analysis of center-delaminated unidirectional and multidirectional single-leg bending specimens
    • Davidson BD, Krüger R, König M (1995) Three-dimensional analysis of center-delaminated unidirectional and multidirectional single-leg bending specimens. Comp Sci Technol 54:385-394
    • (1995) Comp Sci Technol , vol.54 , pp. 385-394
    • Davidson, B.D.1    Krüger, R.2    König, M.3
  • 5
    • 84965919292 scopus 로고
    • Interlaminar stresses in composite laminates under uniform axial extension
    • Byron Pipes R, Pagano NJ (1970) Interlaminar stresses in composite laminates under uniform axial extension. J Comp Mater 4:538-548
    • (1970) J Comp Mater , vol.4 , pp. 538-548
    • Byron Pipes, R.1    Pagano, N.J.2
  • 7
    • 0033434545 scopus 로고    scopus 로고
    • The Griffith formula and the Cherepanov-Rice integral for crack problems with unilateral conditions in nonsmooth domains
    • Khludnev AM, Sokolowski J (1999) The Griffith formula and the Cherepanov-Rice integral for crack problems with unilateral conditions in nonsmooth domains. Eur J Appl Math 10:379-394
    • (1999) Eur J Appl Math , vol.10 , pp. 379-394
    • Khludnev, A.M.1    Sokolowski, J.2
  • 8
    • 0022898776 scopus 로고
    • Explicit solution and invariance of the singularities at an interface crack in anisotropic composites
    • Ting TCT (1986) Explicit solution and invariance of the singularities at an interface crack in anisotropic composites. Int J Solids Struct 22:965-983
    • (1986) Int J Solids Struct , vol.22 , pp. 965-983
    • Ting, T.C.T.1
  • 9
    • 0032219627 scopus 로고    scopus 로고
    • The interface crack in anisotropic bodies: Stress singularities and invariant integrals
    • Nazarov SA (1998) The interface crack in anisotropic bodies: Stress singularities and invariant integrals. J Appl Maths Mech 62:453-464
    • (1998) J Appl Maths Mech , vol.62 , pp. 453-464
    • Nazarov, S.A.1
  • 10
    • 0000012763 scopus 로고
    • Semismooth and semiconvex functions in constrained optimization
    • Mifflin R (1977) Semismooth and semiconvex functions in constrained optimization. SIAM J Control Optim 15:959-972
    • (1977) SIAM J Control Optim , vol.15 , pp. 959-972
    • Mifflin, R.1
  • 12
    • 0043244872 scopus 로고    scopus 로고
    • Semismooth Newton methods for operator equations in function spaces
    • Ulbrich M (2003) Semismooth Newton methods for operator equations in function spaces. SIAM J Optim 13:805-842
    • (2003) SIAM J Optim , vol.13 , pp. 805-842
    • Ulbrich, M.1
  • 14
    • 1642578153 scopus 로고    scopus 로고
    • The primal-dual active set method for a crack problem with non- penetration
    • Hintermüller M, Kovtunenko VA, Kunisch K (2004) The primal-dual active set method for a crack problem with non- penetration. IMA J Appl Math 69:1-26
    • (2004) IMA J Appl Math , vol.69 , pp. 1-26
    • Hintermüller, M.1    Kovtunenko, V.A.2    Kunisch, K.3
  • 15
    • 25444510327 scopus 로고    scopus 로고
    • Semismooth Newton methods for a class of unilaterally constrained variational problems
    • Hintermüller M, Kovtunenko VA, Kunisch K (2004) Semismooth Newton methods for a class of unilaterally constrained variational problems. Adv Math Sci Appl 14:513-535
    • (2004) Adv Math Sci Appl , vol.14 , pp. 513-535
    • Hintermüller, M.1    Kovtunenko, V.A.2    Kunisch, K.3
  • 17
    • 0041657515 scopus 로고    scopus 로고
    • The primal-dual active set strategy as a semismooth Newton method
    • Hintermüller M, Ito K, Kunisch K (2003) The primal-dual active set strategy as a semismooth Newton method. SIAM J Optim 13:865-888
    • (2003) SIAM J Optim , vol.13 , pp. 865-888
    • Hintermüller, M.1    Ito, K.2    Kunisch, K.3
  • 18
    • 0037261943 scopus 로고    scopus 로고
    • Semi-smooth Newton methods for the variational inequalities of the first kind
    • Ito K, Kunisch K (2003) Semi-smooth Newton methods for the variational inequalities of the first kind. ESAIM, Math Model Numer Anal 37:41-62
    • (2003) ESAIM, Math Model Numer Anal , vol.37 , pp. 41-62
    • Ito, K.1    Kunisch, K.2
  • 19
    • 0032108490 scopus 로고    scopus 로고
    • Optimization theory application to splitted plane bending problems
    • Leontiev A, Herskovits J, Eboli C (1998) Optimization theory application to splitted plane bending problems. Int J Solids Struct 35:2679-2694
    • (1998) Int J Solids Struct , vol.35 , pp. 2679-2694
    • Leontiev, A.1    Herskovits, J.2    Eboli, C.3
  • 20
    • 33745466907 scopus 로고    scopus 로고
    • Mixed finite elements methods for smooth domain formulation of crack problems
    • Belhachmi Z, Sac-Epée JM, Sokolowski J (2005) Mixed finite elements methods for smooth domain formulation of crack problems. SIAM J Numer Anal 43:1295-1320
    • (2005) SIAM J Numer Anal , vol.43 , pp. 1295-1320
    • Belhachmi, Z.1    Sac-Epée, J.M.2    Sokolowski, J.3
  • 21
    • 0033349534 scopus 로고    scopus 로고
    • A finite element method for crack growth without remeshing
    • Moës N, Dolbow J, Belytschko T (1999) A finite element method for crack growth without remeshing. Int J Numer Math Engng 46:131-150
    • (1999) Int J Numer Math Engng , vol.46 , pp. 131-150
    • Moës, N.1    Dolbow, J.2    Belytschko, T.3
  • 22
    • 0034255073 scopus 로고    scopus 로고
    • Extended finite element method for three-dimensional crack modelling
    • Sukumar N, Moës N, Moran B, Belytschko T (2000) Extended finite element method for three-dimensional crack modelling. Int J Numer Math Engng 48:1549-1570
    • (2000) Int J Numer Math Engng , vol.48 , pp. 1549-1570
    • Sukumar, N.1    Moës, N.2    Moran, B.3    Belytschko, T.4
  • 24
    • 33646058587 scopus 로고    scopus 로고
    • Interface cracks in composite orthotropic materials and their delamination via global shape optimization
    • Kovtunenko VA (2006) Interface cracks in composite orthotropic materials and their delamination via global shape optimization. Optim Eng 7:173-199
    • (2006) Optim Eng , vol.7 , pp. 173-199
    • Kovtunenko, V.A.1
  • 25
    • 0023979063 scopus 로고
    • Elastic fracture mechanics concepts for interfacial cracks
    • Rice JR (1988) Elastic fracture mechanics concepts for interfacial cracks. Trans ASME Ser E J Appl Mech 55:98-103
    • (1988) Trans ASME Ser E J Appl Mech , vol.55 , pp. 98-103
    • Rice, J.R.1
  • 26
    • 0031250876 scopus 로고    scopus 로고
    • Characterizing static and fatigue interlaminar fracture behavior of a first generation graphite/epoxy composite
    • In: Hooper JS (ed) ASTM STP 1242, ASTM
    • König M, Krüger R, Kussmaul K, von Alberti M, Gädke M (1997) Characterizing static and fatigue interlaminar fracture behavior of a first generation graphite/epoxy composite. In: Hooper JS (ed) 13th Composite materials: Testing and design 13, ASTM STP 1242, ASTM, 60-81
    • (1997) 13th Composite Materials: Testing and Design , vol.13 , pp. 60-81
    • König, M.1    Krüger, R.2    Kussmaul, K.3    von Alberti, M.4    Gädke, M.5
  • 27
    • 35448977016 scopus 로고    scopus 로고
    • An optimization approach for the delamination of a composite material with non-penetration
    • In: Glowinski R, Zolesio J-P (eds) Lecture Notes in Pure and Applied Mathematics 252. Chapman & Hall/CRC (to appear)
    • Hintermüller M, Kovtunenko VA, Kunisch K (2006) An optimization approach for the delamination of a composite material with non-penetration. In: Glowinski R, Zolesio J-P (eds) Free and moving boundaries: Analysis, simulation and control, Lecture Notes in Pure and Applied Mathematics 252. Chapman & Hall/CRC (to appear)
    • (2006) Free and Moving Boundaries: Analysis, Simulation and Control
    • Hintermüller, M.1    Kovtunenko, V.A.2    Kunisch, K.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.