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Volumn 17, Issue 5, 2009, Pages 665-679

First-and second-order topological sensitivity analysis for inclusions

Author keywords

Asymptotic analysis; Complete second order topological asymptotic expansion; Finite domain peturbation; First order topological derivative; Second order topological derivative

Indexed keywords

A-THERMAL; BULK MATERIALS; COMPLETE SECOND-ORDER TOPOLOGICAL ASYMPTOTIC EXPANSION; FINITE DOMAIN PETURBATION; FINITE SIZE; FIRST-ORDER TOPOLOGICAL DERIVATIVE; HIGHER ORDER; INFINITESIMAL PERTURBATIONS; NATURAL EXTENSION; NUMERICAL EXPERIMENTS; PERTURBED PROBLEMS; SECOND ORDERS; SECOND-ORDER TOPOLOGICAL DERIVATIVE; SHAPE FUNCTIONAL; TOPOLOGICAL ASYMPTOTIC EXPANSION; TOPOLOGICAL DERIVATIVES; TOPOLOGICAL SENSITIVITY; TOTAL POTENTIAL ENERGY; TWO-DIMENSIONAL DOMAIN; VARIATIONAL PROBLEMS;

EID: 70449579363     PISSN: 17415977     EISSN: 17415985     Source Type: Journal    
DOI: 10.1080/17415970802394186     Document Type: Article
Times cited : (11)

References (31)
  • 2
    • 0032681559 scopus 로고    scopus 로고
    • On the Topological derivative in shape optimization, SIAM
    • J. Sokolowski and A. Zochowski, On the Topological derivative in shape optimization, SIAM J. Control Optim. 37(4) (1999), pp. 1251-1272.
    • (1999) J. Control Optim , vol.37 , Issue.4 , pp. 1251-1272
    • Sokolowski, J.1    ŻOchowski, A.2
  • 4
    • 30944440921 scopus 로고    scopus 로고
    • The topological asymptotic for the Navier-Stokes equations
    • S. Amstutz, The topological asymptotic for the Navier-Stokes equations, ESAIM: Control, Op. Cal. Var. 11(3) (2005), pp. 401-425.
    • (2005) ESAIM: Control, Op. Cal. Var , vol.11 , Issue.3 , pp. 401-425
    • Amstutz, S.1
  • 5
    • 33646921203 scopus 로고    scopus 로고
    • A new algorithm for topology optimization using a level-set method
    • S. Amstutz and H. Andra, A new algorithm for topology optimization using a level-set method, J. Comput. Phys. 216(2) (2006), pp. 573-588.
    • (2006) J. Comput. Phys , vol.216 , Issue.2 , pp. 573-588
    • Amstutz, S.1    Andra, H.2
  • 6
    • 25844433396 scopus 로고    scopus 로고
    • Crack detection by the topological gradient method
    • S. Amstutz, I. Horchani, and M. Masmoudi, Crack detection by the topological gradient method, Control Cybern. 34(1) (2005), pp. 81-101.
    • (2005) Control Cybern , vol.34 , Issue.1 , pp. 81-101
    • Amstutz, S.1    Horchani, I.2    Masmoudi, M.3
  • 8
    • 33744911745 scopus 로고    scopus 로고
    • Topological sensitivity for 3D elastodynamic and acoustic inverse scattering in the time domain
    • M. Bonnet, Topological sensitivity for 3D elastodynamic and acoustic inverse scattering in the time domain, Comput. Meth. Appl. M. 195 (2006), pp. 5239-5254.
    • (2006) Comput. Meth. Appl. M , vol.195 , pp. 5239-5254
    • Bonnet, M.1
  • 9
    • 0842312288 scopus 로고    scopus 로고
    • Incorporating topological derivatives into level set methods
    • M. Burger, B. Hackl, and W. Ring, Incorporating topological derivatives into level set methods, J. Comput. Phys. 1(194) (2004), pp. 344-362.
    • (2004) J. Comput. Phys , vol.1 , Issue.194 , pp. 344-362
    • Burger, M.1    Hackl, B.2    Ring, W.3
  • 10
    • 10844274795 scopus 로고    scopus 로고
    • A new method in inverse scattering based on the topological derivative
    • G.R. Feijoo, A new method in inverse scattering based on the topological derivative, Inverse Prob. 20(6) (2004), pp. 1819-1840.
    • (2004) Inverse Prob , vol.20 , Issue.6 , pp. 1819-1840
    • Feijoo, G.R.1
  • 11
    • 0035665129 scopus 로고    scopus 로고
    • The topological asymptotic for PDE Systems: The elasticity case
    • S. Garreau, Ph. Guillaume, and M. Masmoudi, The topological asymptotic for PDE Systems: the elasticity case, SIAM J. Control. Optim. 39 (2001), pp. 1756-1778.
    • (2001) SIAM J. Control. Optim , vol.39 , pp. 1756-1778
    • Garreau, S.1    Guillaume, P.2    Masmoudi, M.3
  • 12
    • 33749026089 scopus 로고    scopus 로고
    • Small-inclusion asymptotic of misfit functionals for inverse problems in acoustics
    • B.B. Guzina and M. Bonnet, Small-inclusion asymptotic of misfit functionals for inverse problems in acoustics, Inverse Prob. 22 (2006), pp. 1761-1785.
    • (2006) Inverse Prob , vol.22 , pp. 1761-1785
    • Guzina, B.B.1    Bonnet, M.2
  • 13
    • 33845230843 scopus 로고    scopus 로고
    • From imaging to material characterization: A generalized concept of topological sensitivity
    • B.B. Guzina and I. Chikichev, From imaging to material characterization: a generalized concept of topological sensitivity, J. Mech. Phys. Solids 55 (2007), pp. 245-279.
    • (2007) J. Mech. Phys. Solids , vol.55 , pp. 245-279
    • Guzina, B.B.1    Chikichev, I.2
  • 14
    • 0042928461 scopus 로고    scopus 로고
    • The topological asymptotic expansion for the Dirichlet problem
    • P. Guillaume and K. Sid Idris, The topological asymptotic expansion for the Dirichlet problem, SIAM J. Control. Optim. 41(4) (2002), pp. 1042-1072.
    • (2002) SIAM J. Control. Optim , vol.41 , Issue.4 , pp. 1042-1072
    • Guillaume, P.1    Sid Idris, K.2
  • 15
    • 14244260727 scopus 로고    scopus 로고
    • Topological sensitivity and shape optimization for the stokes equations
    • P. Guillaume and K. Sid Idris, Topological sensitivity and shape optimization for the stokes equations, SIAM J. Control. Optim. 43(1) (2004), pp. 1-31.
    • (2004) SIAM J. Control. Optim , vol.43 , Issue.1 , pp. 1-31
    • Guillaume, P.1    Sid Idris, K.2
  • 16
    • 25844488964 scopus 로고    scopus 로고
    • Fast level set based algorithms usind shape and topological sensitivity
    • M. Hintermuller, Fast level set based algorithms usind shape and topological sensitivity, Control. Cybern. 34(1) (2005), pp. 305-324.
    • (2005) Control. Cybern , vol.34 , Issue.1 , pp. 305-324
    • Hintermuller, M.1
  • 18
    • 0037378311 scopus 로고    scopus 로고
    • Energy change due to the appearance of cavities in elastic solids
    • T. Lewinski and J. Sokolowski, Energy change due to the appearance of cavities in elastic solids, Int. J. Solids Struct. 40 (2003), pp. 1765-1803.
    • (2003) Int. J. Solids Struct , vol.40 , pp. 1765-1803
    • Lewinski, T.1    Sokolowski, J.2
  • 19
    • 17444421198 scopus 로고    scopus 로고
    • The topological asymptotic expansion for the Maxwell equations and some applications
    • M. Masmoudi, J. Pommier, and B. Samet, The topological asymptotic expansion for the Maxwell equations and some applications, Inverse Prob. 21 (2005), pp. 547-564.
    • (2005) Inverse Prob , vol.21 , pp. 547-564
    • Masmoudi, M.1    Pommier, J.2    Samet, B.3
  • 21
    • 3843081807 scopus 로고    scopus 로고
    • The topological derivative of the dirichlet integral due to formation of a thin ligament
    • S.A. Nazarov and J. Sokolowski, The topological derivative of the dirichlet integral due to formation of a thin ligament, Siberian Mathematical J. 45(2) (2004), pp. 341-355.
    • (2004) Siberian Mathematical J , vol.45 , Issue.2 , pp. 341-355
    • Nazarov, S.A.1    Sokolowski, J.2
  • 22
    • 4944259639 scopus 로고    scopus 로고
    • The topological asymptotic for the helmholtz equation
    • B. Samet, S. Amstutz, and M. Masmoudi, The topological asymptotic for the helmholtz equation, SIAM J. Control. Optim. 42(5) (2003), pp. 1523-1544.
    • (2003) SIAM J. Control. Optim , vol.42 , Issue.5 , pp. 1523-1544
    • Samet, B.1    Amstutz, S.2    Masmoudi, M.3
  • 23
    • 3242693022 scopus 로고    scopus 로고
    • Optimality conditions for simultaneous topology and shape optimization
    • J. Sokolowski and A. Zochowski, Optimality conditions for simultaneous topology and shape optimization, SIAM J. Control. Optim. 42(4) (2003), pp. 1198-1221.
    • (2003) SIAM J. Control. Optim , vol.42 , Issue.4 , pp. 1198-1221
    • Sokolowski, J.1    Zochowski, A.2
  • 24
    • 27844579173 scopus 로고    scopus 로고
    • Modelling of topological derivatives for contact problems
    • J. Sokolowski and A. Zochowski, Modelling of topological derivatives for contact problems, Numerische Mathematik 102 (2005), pp. 14-179.
    • (2005) Numerische Mathematik , vol.102 , pp. 14-179
    • Sokolowski, J.1    Zochowski, A.2
  • 30
    • 0016576296 scopus 로고
    • The elastic energy-momentum tensor
    • J.D. Eshelby, The elastic energy-momentum tensor, J. Elasticity. 5 (1975), pp. 321-335.
    • (1975) J. Elasticity , vol.5 , pp. 321-335
    • Eshelby, J.D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.