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Volumn 32, Issue 11, 2008, Pages 926-935

Topological sensitivity analysis of inclusion in two-dimensional linear elasticity

Author keywords

Asymptotic analysis; Shape sensitivity analysis; Topological derivative; Topology design

Indexed keywords

ASYMPTOTIC ANALYSIS; DIFFERENCE EQUATIONS; ELASTICITY; LINEAR EQUATIONS; SOIL MECHANICS; SOIL STRUCTURE INTERACTIONS; TOPOLOGY; TWO DIMENSIONAL;

EID: 53249108049     PISSN: 09557997     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.enganabound.2007.12.007     Document Type: Article
Times cited : (28)

References (31)
  • 2
    • 34249772762 scopus 로고
    • Bubble method for topology and shape optimization of structures
    • Eschenauer H.A., Kobelev V.V., and Schumacher A. Bubble method for topology and shape optimization of structures. Struct Optim 8 (1994) 42-51
    • (1994) Struct Optim , vol.8 , pp. 42-51
    • Eschenauer, H.A.1    Kobelev, V.V.2    Schumacher, A.3
  • 4
    • 0032681559 scopus 로고    scopus 로고
    • On the topological derivative in shape optimization
    • Sokolowski J., and Żochowski A. On the topological derivative in shape optimization. SIAM J Control Optim 37 (1999) 1251-1272
    • (1999) SIAM J Control Optim , vol.37 , pp. 1251-1272
    • Sokolowski, J.1    Zochowski, A.2
  • 5
    • 0000905135 scopus 로고    scopus 로고
    • Topology optimization of continuum structures: a review
    • Eschenauer H.A., and Olhoff N. Topology optimization of continuum structures: a review. Appl Mech Rev 54 (2001) 331-390
    • (2001) Appl Mech Rev , vol.54 , pp. 331-390
    • Eschenauer, H.A.1    Olhoff, N.2
  • 6
    • 53249098173 scopus 로고    scopus 로고
    • Novotny AA. Análise de Sensibilidade Topológica. PhD thesis, LNCC/MCT, Petrópolis-RJ, Brazil; 2003.
    • Novotny AA. Análise de Sensibilidade Topológica. PhD thesis, LNCC/MCT, Petrópolis-RJ, Brazil; 2003.
  • 7
    • 53249111022 scopus 로고    scopus 로고
    • Auroux D, Masmoudi M, Belaid L. Image restoration and classification by topological asymptotic expansion. In: Variational Formulations in Mechanics: Theory and Applications. Barcelona, Spain: CIMNE; 2006.
    • Auroux D, Masmoudi M, Belaid L. Image restoration and classification by topological asymptotic expansion. In: Variational Formulations in Mechanics: Theory and Applications. Barcelona, Spain: CIMNE; 2006.
  • 8
    • 53249100827 scopus 로고    scopus 로고
    • Belaid LJ, Jaoua M, Masmoudi M, Siala L. Application of the topological gradient to image restoration and edge detection. Eng Anal Boundary Elem 2008, this issue, doi:10.1016/j.enganabound.2008.01.004.
    • Belaid LJ, Jaoua M, Masmoudi M, Siala L. Application of the topological gradient to image restoration and edge detection. Eng Anal Boundary Elem 2008, this issue, doi:10.1016/j.enganabound.2008.01.004.
  • 9
    • 42949165027 scopus 로고    scopus 로고
    • Larrabide I, Feijóo RA, Novotny AA, Taroco EA. Topological derivative: a tool for image processing. Comput Struct 2008, to appear. doi:10.1016/j.compstruc.2007.05.004.
    • Larrabide I, Feijóo RA, Novotny AA, Taroco EA. Topological derivative: a tool for image processing. Comput Struct 2008, to appear. doi:10.1016/j.compstruc.2007.05.004.
  • 10
    • 53249154074 scopus 로고    scopus 로고
    • Larrabide I. Processamento de Imagens via Derivada Topológica e suas Aplicações na Modelagem e Simulação Computacional do Sistema Cardiovascular Humano. PhD thesis, LNCC/MCT, Petrópolis-RJ, Brazil; 2007.
    • Larrabide I. Processamento de Imagens via Derivada Topológica e suas Aplicações na Modelagem e Simulação Computacional do Sistema Cardiovascular Humano. PhD thesis, LNCC/MCT, Petrópolis-RJ, Brazil; 2007.
  • 11
    • 25844433396 scopus 로고    scopus 로고
    • Crack detection by the topological gradient method
    • Amstutz S., Horchani I., and Masmoudi M. Crack detection by the topological gradient method. Control Cybern 34 1 (2005) 119-138
    • (2005) Control Cybern , vol.34 , Issue.1 , pp. 119-138
    • Amstutz, S.1    Horchani, I.2    Masmoudi, M.3
  • 12
    • 33744911745 scopus 로고    scopus 로고
    • Topological sensitivity for 3D elastodynamic and acoustic inverse scattering in the time domain
    • Bonnet M. Topological sensitivity for 3D elastodynamic and acoustic inverse scattering in the time domain. Comput Meth Appl Mech Eng 195 37-40 (2006) 5239-5254
    • (2006) Comput Meth Appl Mech Eng , vol.195 , Issue.37-40 , pp. 5239-5254
    • Bonnet, M.1
  • 13
    • 17444412719 scopus 로고    scopus 로고
    • Inverse problems in elasticity
    • Bonnet M., and Constantinescu A. Inverse problems in elasticity. Inverse Probl 21 2 (2005) R1-R50
    • (2005) Inverse Probl , vol.21 , Issue.2
    • Bonnet, M.1    Constantinescu, A.2
  • 14
    • 10844274795 scopus 로고    scopus 로고
    • A new method in inverse scattering based on the topological derivative
    • Feijóo G.R. A new method in inverse scattering based on the topological derivative. Inverse Prob 20 6 (2004) 1819-1840
    • (2004) Inverse Prob , vol.20 , Issue.6 , pp. 1819-1840
    • Feijóo, G.R.1
  • 15
    • 33749026089 scopus 로고    scopus 로고
    • Small-inclusion asymptotic of misfit functionals for inverse problems in acoustics
    • Guzina B.B., and Bonnet M. Small-inclusion asymptotic of misfit functionals for inverse problems in acoustics. Inverse Prob 22 5 (2006) 1761-1785
    • (2006) Inverse Prob , vol.22 , Issue.5 , pp. 1761-1785
    • Guzina, B.B.1    Bonnet, M.2
  • 16
    • 17444421198 scopus 로고    scopus 로고
    • The topological asymptotic expansion for the Maxwell equations and some applications
    • Masmoudi M., Pommier J., and Samet B. The topological asymptotic expansion for the Maxwell equations and some applications. Inverse Prob 21 (2005) 547-564
    • (2005) Inverse Prob , vol.21 , pp. 547-564
    • Masmoudi, M.1    Pommier, J.2    Samet, B.3
  • 17
    • 53249085585 scopus 로고    scopus 로고
    • Amstutz S. Aspects théoriques et numériques en optimisation de forme topologique. PhD thesis, Institut National des Sciences Appliquées de Toulouse, France; 2003.
    • Amstutz S. Aspects théoriques et numériques en optimisation de forme topologique. PhD thesis, Institut National des Sciences Appliquées de Toulouse, France; 2003.
  • 19
    • 53249153246 scopus 로고    scopus 로고
    • Murat F, Simon J. Sur le Contrôle par un Domaine Géométrique. Thesis, Université Pierre et Marie Curie, Paris VI, France, 1976.
    • Murat F, Simon J. Sur le Contrôle par un Domaine Géométrique. Thesis, Université Pierre et Marie Curie, Paris VI, France, 1976.
  • 20
    • 53249124481 scopus 로고    scopus 로고
    • Gurtin ME. An introduction to continuum mechanics. In: Mathematics in Science and Engineering, vol. 158. Academic Press; New York: 1981.
    • Gurtin ME. An introduction to continuum mechanics. In: Mathematics in Science and Engineering, vol. 158. Academic Press; New York: 1981.
  • 21
    • 0016576296 scopus 로고
    • The elastic energy-momentum tensor
    • Eshelby J.D. The elastic energy-momentum tensor. J Elasticity 5 (1975) 321-335
    • (1975) J Elasticity , vol.5 , pp. 321-335
    • Eshelby, J.D.1
  • 22
    • 53249100063 scopus 로고    scopus 로고
    • Gurtin ME. Configurational forces as basic concept of continuum physics. In: Applied mathematical sciences, vol. 137. Berlin: Springer; 2000.
    • Gurtin ME. Configurational forces as basic concept of continuum physics. In: Applied mathematical sciences, vol. 137. Berlin: Springer; 2000.
  • 23
    • 0032048358 scopus 로고    scopus 로고
    • Second-order shape sensitivity analysis for nonlinear problems
    • Taroco E.A., Buscaglia G.C., and Feijóo R.A. Second-order shape sensitivity analysis for nonlinear problems. Struct Optim 15 (1998) 101-113
    • (1998) Struct Optim , vol.15 , pp. 101-113
    • Taroco, E.A.1    Buscaglia, G.C.2    Feijóo, R.A.3
  • 24
    • 53249120815 scopus 로고    scopus 로고
    • Sadowsky MA, Sternberg E. Stress concentration around a triaxial ellipsoidal cavity. J Appl Mech 1949; 149-57.
    • Sadowsky MA, Sternberg E. Stress concentration around a triaxial ellipsoidal cavity. J Appl Mech 1949; 149-57.
  • 25
    • 53249148860 scopus 로고    scopus 로고
    • Feijóo RA, Novotny AA, Padra C, Taroco EA. The topological-shape sensitivity method and its application in 2 D elasticity. J Comput Meth Sci Eng 2008, to appear.
    • Feijóo RA, Novotny AA, Padra C, Taroco EA. The topological-shape sensitivity method and its application in 2 D elasticity. J Comput Meth Sci Eng 2008, to appear.
  • 26
    • 0035665129 scopus 로고    scopus 로고
    • The topological asymptotic for PDE systems: the elasticity case
    • Garreau S., Guillaume Ph., and Masmoudi M. The topological asymptotic for PDE systems: the elasticity case. SIAM J Control Optim 39 (2001) 1756-1778
    • (2001) SIAM J Control Optim , vol.39 , pp. 1756-1778
    • Garreau, S.1    Guillaume, Ph.2    Masmoudi, M.3
  • 27
    • 0037378311 scopus 로고    scopus 로고
    • Energy change due to the appearance of cavities in elastic solids
    • Lewiński T., and Sokolowski J. Energy change due to the appearance of cavities in elastic solids. Int J Solids Struct 40 (2003) 1765-1803
    • (2003) Int J Solids Struct , vol.40 , pp. 1765-1803
    • Lewiński, T.1    Sokolowski, J.2
  • 29
    • 53249146927 scopus 로고    scopus 로고
    • Amstutz S, Andrä H. A new algorithm for topology optimization using a level-set method. Research report. Université Paul Sabatier, Toulouse Cedex 4, France, 2005.
    • Amstutz S, Andrä H. A new algorithm for topology optimization using a level-set method. Research report. Université Paul Sabatier, Toulouse Cedex 4, France, 2005.
  • 30
    • 25844462314 scopus 로고    scopus 로고
    • A new approach for simultaneous shape and topology optimization based on dynamic implicit surface function
    • Guo X., Zhao K., and Wang M.Y. A new approach for simultaneous shape and topology optimization based on dynamic implicit surface function. Control Cybern 34 1 (2005) 255-282
    • (2005) Control Cybern , vol.34 , Issue.1 , pp. 255-282
    • Guo, X.1    Zhao, K.2    Wang, M.Y.3
  • 31
    • 3242682418 scopus 로고    scopus 로고
    • A level set method for structural topology optimization and its applications
    • Yulin M., and Xiaoming W. A level set method for structural topology optimization and its applications. Adv Eng Software 35 (2004) 415-441
    • (2004) Adv Eng Software , vol.35 , pp. 415-441
    • Yulin, M.1    Xiaoming, W.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.