메뉴 건너뛰기




Volumn 275, Issue , 2014, Pages 98-112

Detection of multiple flaws in piezoelectric structures using XFEM and level sets

Author keywords

Inverse problem; Level set method; Piezoelectric ceramics; XFEM

Indexed keywords

CRACK PROPAGATION; HYDROGELS; INVERSE PROBLEMS; NUMERICAL METHODS; PIEZOELECTRIC CERAMICS;

EID: 84897497704     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2014.03.001     Document Type: Article
Times cited : (78)

References (36)
  • 2
    • 34249842060 scopus 로고
    • Linear electro-elastic fracture mechanics of piezoelectric materials
    • Pak Y.E. Linear electro-elastic fracture mechanics of piezoelectric materials. Int. J. Fract. 1992, 54:79-100.
    • (1992) Int. J. Fract. , vol.54 , pp. 79-100
    • Pak, Y.E.1
  • 3
    • 0000303331 scopus 로고
    • Plane problems in piezoelectric media with defects
    • Sosa H. Plane problems in piezoelectric media with defects. Int. J. Solids Struct. 1991, 28(4):491-505.
    • (1991) Int. J. Solids Struct. , vol.28 , Issue.4 , pp. 491-505
    • Sosa, H.1
  • 4
    • 0032652889 scopus 로고    scopus 로고
    • Analytical solution for an arbitrarily oriented void/crack and fracture of piezoceramics
    • Xu X.L., Rajapakse R.K.N.D. Analytical solution for an arbitrarily oriented void/crack and fracture of piezoceramics. Acta Mater. 1999, 47(6):1735-1747.
    • (1999) Acta Mater. , vol.47 , Issue.6 , pp. 1735-1747
    • Xu, X.L.1    Rajapakse, R.K.N.D.2
  • 5
    • 78649492265 scopus 로고    scopus 로고
    • Fracture mechanics of piezoelectric materials? Where are we right now?
    • Kuna M. Fracture mechanics of piezoelectric materials? Where are we right now?. Eng. Fract. Mech. 2010, 77:3635-3647.
    • (2010) Eng. Fract. Mech. , vol.77 , pp. 3635-3647
    • Kuna, M.1
  • 6
    • 84877250266 scopus 로고    scopus 로고
    • A generalized and efficient method for finite cover generation in the numerical manifold method
    • Cai Y., Zhuang X., Zhu H. A generalized and efficient method for finite cover generation in the numerical manifold method. Int. J. Comput. Methods 2013, 10(5):1350028.
    • (2013) Int. J. Comput. Methods , vol.10 , Issue.5 , pp. 1350028
    • Cai, Y.1    Zhuang, X.2    Zhu, H.3
  • 7
    • 84893664377 scopus 로고    scopus 로고
    • A continuous/discontinuous deformation analysis (CDDA) method based on deformable blocks for fracture modeling
    • Cai Y., Zhu H., Zhuang X. A continuous/discontinuous deformation analysis (CDDA) method based on deformable blocks for fracture modeling. Front. Struct. Civ. Eng. 2013, 7:369-378.
    • (2013) Front. Struct. Civ. Eng. , vol.7 , pp. 369-378
    • Cai, Y.1    Zhu, H.2    Zhuang, X.3
  • 8
    • 33845315531 scopus 로고    scopus 로고
    • Finite element analyses of cracks in piezoelectric structures - a survey
    • Kuna M. Finite element analyses of cracks in piezoelectric structures - a survey. Comput. Aided Des. 2006, 76:725-745.
    • (2006) Comput. Aided Des. , vol.76 , pp. 725-745
    • Kuna, M.1
  • 9
    • 60449097324 scopus 로고    scopus 로고
    • Optimal measurement setup for damage detection in piezoelectric plates
    • Rus G., Palma R., Prez-Aparicio J.L. Optimal measurement setup for damage detection in piezoelectric plates. Int. J. Eng. Sci. 2009, 47:554-572.
    • (2009) Int. J. Eng. Sci. , vol.47 , pp. 554-572
    • Rus, G.1    Palma, R.2    Prez-Aparicio, J.L.3
  • 10
    • 40549139155 scopus 로고    scopus 로고
    • FEM-based determination of real and complex elastic, dielectric and piezoelectric moduli in piezoceramic materials
    • Lahmer T., Kaltenbacher M., Kaltenbacher B., Lerch R. FEM-based determination of real and complex elastic, dielectric and piezoelectric moduli in piezoceramic materials. IEEE Trans. Ultrason. Ferroelectr. Freq. Control 2008, 55(2):465-475.
    • (2008) IEEE Trans. Ultrason. Ferroelectr. Freq. Control , vol.55 , Issue.2 , pp. 465-475
    • Lahmer, T.1    Kaltenbacher, M.2    Kaltenbacher, B.3    Lerch, R.4
  • 11
    • 55949119340 scopus 로고    scopus 로고
    • Review: meshless methods: a review and computer implementation aspects
    • Nguyen V.P., Rabczuk T., Bordas S., Duflot M. Review: meshless methods: a review and computer implementation aspects. Math. Comput. Simul. 2008, 79(3):763-813.
    • (2008) Math. Comput. Simul. , vol.79 , Issue.3 , pp. 763-813
    • Nguyen, V.P.1    Rabczuk, T.2    Bordas, S.3    Duflot, M.4
  • 12
    • 33847279933 scopus 로고    scopus 로고
    • A meshfree method based on the local partition of unity for cohesive cracks
    • Rabczuk T., Zi G. A meshfree method based on the local partition of unity for cohesive cracks. Comput. Mech. 2007, 39(6):743-760.
    • (2007) Comput. Mech. , vol.39 , Issue.6 , pp. 743-760
    • Rabczuk, T.1    Zi, G.2
  • 13
    • 84896734320 scopus 로고    scopus 로고
    • A meshless sub-region radial point interpolation method for accurate calculation of crack tip elds
    • Zhuang X., Cai Y., Augarde C. A meshless sub-region radial point interpolation method for accurate calculation of crack tip elds. Theor. Appl. Fract. Mec. 2014, 69:118-125.
    • (2014) Theor. Appl. Fract. Mec. , vol.69 , pp. 118-125
    • Zhuang, X.1    Cai, Y.2    Augarde, C.3
  • 14
    • 84893957679 scopus 로고    scopus 로고
    • An improved meshless Shepard and least square method possessing the delta property and requiring no singular weight function
    • Zhuang X., Zhu H., Augarde C. An improved meshless Shepard and least square method possessing the delta property and requiring no singular weight function. Comput. Mech. 2014, 53:343-357.
    • (2014) Comput. Mech. , vol.53 , pp. 343-357
    • Zhuang, X.1    Zhu, H.2    Augarde, C.3
  • 15
    • 84869865394 scopus 로고    scopus 로고
    • Fracture modeling using meshless methods and level sets in 3D: framework and modeling
    • Zhuang X., Augarde C., Mathisen K. Fracture modeling using meshless methods and level sets in 3D: framework and modeling. Int. J. Numer. Meth. Eng. 2012, 92:969-998.
    • (2012) Int. J. Numer. Meth. Eng. , vol.92 , pp. 969-998
    • Zhuang, X.1    Augarde, C.2    Mathisen, K.3
  • 16
    • 79960119063 scopus 로고    scopus 로고
    • High rock slope stability analysis using the enriched meshless Shepard and least squares method
    • Zhu H., Zhuang X., Cai Y. High rock slope stability analysis using the enriched meshless Shepard and least squares method. Int. J. Comput. Methods 2011, 8:209-228.
    • (2011) Int. J. Comput. Methods , vol.8 , pp. 209-228
    • Zhu, H.1    Zhuang, X.2    Cai, Y.3
  • 17
    • 61449228460 scopus 로고    scopus 로고
    • Model-based inversion technique using element-free Galerkin method and state space search
    • Liu X., Deng Y., Zeng Z., Udpa L., Udpa S.S. Model-based inversion technique using element-free Galerkin method and state space search. IEEE Trans. Magn. 2009, 45(3):1486-1489.
    • (2009) IEEE Trans. Magn. , vol.45 , Issue.3 , pp. 1486-1489
    • Liu, X.1    Deng, Y.2    Zeng, Z.3    Udpa, L.4    Udpa, S.S.5
  • 18
    • 77950007798 scopus 로고    scopus 로고
    • Detection and quantification of flaws in structures by the extended finite element method and genetic algorithms
    • Waisman H., Chatzi E., Smyth A.W. Detection and quantification of flaws in structures by the extended finite element method and genetic algorithms. Int. J. Numer. Methods Eng. 2010, 82:303-328.
    • (2010) Int. J. Numer. Methods Eng. , vol.82 , pp. 303-328
    • Waisman, H.1    Chatzi, E.2    Smyth, A.W.3
  • 19
    • 34548337180 scopus 로고    scopus 로고
    • XFEM-based crack detection scheme using a genetic algorithm
    • Rabinovich D., Givoli D., Vigdergauz S. XFEM-based crack detection scheme using a genetic algorithm. Comput. Fluids 2007, 71:1051-1080.
    • (2007) Comput. Fluids , vol.71 , pp. 1051-1080
    • Rabinovich, D.1    Givoli, D.2    Vigdergauz, S.3
  • 20
    • 0033349534 scopus 로고    scopus 로고
    • A finite element method for crack growth without remeshing
    • Moes N., Dolbow J., Belytschko T. A finite element method for crack growth without remeshing. Int. J. Numer. Methods Eng. 1999, 46(1):133-150.
    • (1999) Int. J. Numer. Methods Eng. , vol.46 , Issue.1 , pp. 133-150
    • Moes, N.1    Dolbow, J.2    Belytschko, T.3
  • 21
    • 20444437547 scopus 로고    scopus 로고
    • Analysis of three-dimensional crack initiation and propagation using the extended finite element method
    • Areias P.M.A., Belytschko T. Analysis of three-dimensional crack initiation and propagation using the extended finite element method. Int. J. Numer. Methods Eng. 2005, 63(5):760-788.
    • (2005) Int. J. Numer. Methods Eng. , vol.63 , Issue.5 , pp. 760-788
    • Areias, P.M.A.1    Belytschko, T.2
  • 22
    • 0030380578 scopus 로고    scopus 로고
    • The partition of unity finite element method: basic theory and applications
    • Melenk J.M., Babuska I. The partition of unity finite element method: basic theory and applications. Comput. Methods Appl. Mech. Eng. 1996, 139(1-4):289-314.
    • (1996) Comput. Methods Appl. Mech. Eng. , vol.139 , Issue.1-4 , pp. 289-314
    • Melenk, J.M.1    Babuska, I.2
  • 24
    • 0035860267 scopus 로고    scopus 로고
    • Modeling holes and inclusions by level sets in the extended finite element method
    • Sukumar N., Chopp D.L., Moes N., Belytschko T. Modeling holes and inclusions by level sets in the extended finite element method. Comput. Methods Appl. Mech. Eng. 2001, 190:6183-6200.
    • (2001) Comput. Methods Appl. Mech. Eng. , vol.190 , pp. 6183-6200
    • Sukumar, N.1    Chopp, D.L.2    Moes, N.3    Belytschko, T.4
  • 26
    • 64049094469 scopus 로고    scopus 로고
    • Application of the X-FEM to the fracture of piezoelectric materials
    • Bechet E., Scherzer M., Kuna M. Application of the X-FEM to the fracture of piezoelectric materials. Int. J. Numer. Methods Eng. 2009, 77:1535-1565.
    • (2009) Int. J. Numer. Methods Eng. , vol.77 , pp. 1535-1565
    • Bechet, E.1    Scherzer, M.2    Kuna, M.3
  • 28
    • 84885860908 scopus 로고    scopus 로고
    • Detection of flaws in piezoelectric structures using extended FEM
    • Nanthakumar S.S., Lahmer T., Rabczuk T. Detection of flaws in piezoelectric structures using extended FEM. Int. J. Numer. Methods Eng. 2013, 96:373-389.
    • (2013) Int. J. Numer. Methods Eng. , vol.96 , pp. 373-389
    • Nanthakumar, S.S.1    Lahmer, T.2    Rabczuk, T.3
  • 29
    • 0000951235 scopus 로고    scopus 로고
    • Global optimization by multilevel coordinate search
    • Huyer W., Neumaier A. Global optimization by multilevel coordinate search. J. Global Optim. 1999, 14:331-355.
    • (1999) J. Global Optim. , vol.14 , pp. 331-355
    • Huyer, W.1    Neumaier, A.2
  • 30
    • 0842290715 scopus 로고    scopus 로고
    • Structural optimization using sensitivity analysis and a level-set method
    • Allaire G., Jouve F., Toader A.M. Structural optimization using sensitivity analysis and a level-set method. J. Comput. Phys. 2004, 194:363-393.
    • (2004) J. Comput. Phys. , vol.194 , pp. 363-393
    • Allaire, G.1    Jouve, F.2    Toader, A.M.3
  • 31
    • 84897477869 scopus 로고    scopus 로고
    • Structural optimization using sensitivity analysis and a level-set method, in: Proceedings of the TMCE
    • P. Wei, M.Y. Wang, Structural optimization using sensitivity analysis and a level-set method, in: Proceedings of the TMCE, 2008.
    • (2008)
    • Wei, P.1    Wang, M.Y.2
  • 32
    • 24944523032 scopus 로고    scopus 로고
    • Improved implementation and robustness study of the X-FEM for stress analysis around cracks
    • Bechet E., Minnebol H., Moes N., Burgardt B. Improved implementation and robustness study of the X-FEM for stress analysis around cracks. Int. J. Numer. Methods Eng. 2005, 64:1033-1056.
    • (2005) Int. J. Numer. Methods Eng. , vol.64 , pp. 1033-1056
    • Bechet, E.1    Minnebol, H.2    Moes, N.3    Burgardt, B.4
  • 33
    • 44749084234 scopus 로고
    • Front propagating with curvature dependent speed: algorithms based on Hamilton-Jacobi formulations
    • Osher S., Sethian J.A. Front propagating with curvature dependent speed: algorithms based on Hamilton-Jacobi formulations. J. Comput. Phys. 1988, 78:12-49.
    • (1988) J. Comput. Phys. , vol.78 , pp. 12-49
    • Osher, S.1    Sethian, J.A.2
  • 34
    • 0031221444 scopus 로고    scopus 로고
    • FEM analysis of electro-mechanical coupling effect of piezoelectric materials
    • Qi H., Fang D., Yao Z. FEM analysis of electro-mechanical coupling effect of piezoelectric materials. Computat. Mater. Sci. 1997, 8:283-290.
    • (1997) Computat. Mater. Sci. , vol.8 , pp. 283-290
    • Qi, H.1    Fang, D.2    Yao, Z.3
  • 36
    • 0028407551 scopus 로고
    • A new electric boundary condition of electric fracture mechanics and its applications
    • Hao T., Shen Z. A new electric boundary condition of electric fracture mechanics and its applications. Eng. Fract. Mech. 1994, 47:793-802.
    • (1994) Eng. Fract. Mech. , vol.47 , pp. 793-802
    • Hao, T.1    Shen, Z.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.