메뉴 건너뛰기




Volumn 40, Issue 3, 2007, Pages 473-495

A three-dimensional meshfree method for continuous multiple-crack initiation, propagation and junction in statics and dynamics

Author keywords

Cohesive forces; Extended element free Galerkin method (XEFG); Extrinsic partition of unity enrichment; Non linear fracture mechanics; Static and dynamic fracture; Three dimensional cracks

Indexed keywords

CRACK INITIATION; CRACK PROPAGATION; FORCE MEASUREMENT; FUNCTION EVALUATION; NONLINEAR SYSTEMS; PROBLEM SOLVING;

EID: 34250802867     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00466-006-0122-1     Document Type: Article
Times cited : (318)

References (56)
  • 1
    • 0031121768 scopus 로고    scopus 로고
    • A domain decomposition approach for heterogenous time-harmonic maxwell equations
    • Alonso A, Valu A (1997) A domain decomposition approach for heterogenous time-harmonic maxwell equations. Comput Methods Appl Mech Eng 143:97-112
    • (1997) Comput Methods Appl Mech Eng , vol.143 , pp. 97-112
    • Alonso, A.1    Valu, A.2
  • 2
    • 0033461714 scopus 로고    scopus 로고
    • (1.999) An optimal domain decomposition preconditioner for low-frequency maxwell equations
    • Alonso A, Valli A (1.999) An optimal domain decomposition preconditioner for low-frequency maxwell equations. Math Comput 68:607-631
    • Math Comput , vol.68 , pp. 607-631
    • Alonso, A.1    Valli, A.2
  • 3
    • 20444437547 scopus 로고    scopus 로고
    • Analysis of three-dimensional crack initiation and propagation using the extended finite element method
    • Areias PMA, Belytschko T (2005) Analysis of three-dimensional crack initiation and propagation using the extended finite element method. Int J Numer Methods Eng 63:760-788
    • (2005) Int J Numer Methods Eng , vol.63 , pp. 760-788
    • Areias, P.M.A.1    Belytschko, T.2
  • 4
    • 34250895020 scopus 로고    scopus 로고
    • Arrea M, Ingraffea AR (1982) Mixed-mode crack propagation in mortar and concrete. Technical Report 81-1.3, Department of Structural Engineering Cornell University Tthaka
    • Arrea M, Ingraffea AR (1982) Mixed-mode crack propagation in mortar and concrete. Technical Report 81-1.3, Department of Structural Engineering Cornell University Tthaka
  • 5
    • 0034421041 scopus 로고    scopus 로고
    • Residual based a posteriori error estimators for eddy current computation
    • Beck R, Hiptmair R, Hoppe RHW, Wohlmuth B (2000) Residual based a posteriori error estimators for eddy current computation. Math Model Numer Anal 34:159-182
    • (2000) Math Model Numer Anal , vol.34 , pp. 159-182
    • Beck, R.1    Hiptmair, R.2    Hoppe, R.H.W.3    Wohlmuth, B.4
  • 6
    • 1642422828 scopus 로고    scopus 로고
    • A note on enrichment functions for modelling crack nucleation
    • Bellec J, Dolbow JE (2003) A note on enrichment functions for modelling crack nucleation. Commun Numer Methods Eng 19:921-932
    • (2003) Commun Numer Methods Eng , vol.19 , pp. 921-932
    • Bellec, J.1    Dolbow, J.E.2
  • 7
    • 0344062898 scopus 로고    scopus 로고
    • Dynamic crack propagation based on loss of hyperbolicity and a new discontinuous enrichment
    • Belytschko T, Chen H, Xu J, Zi G (2003) Dynamic crack propagation based on loss of hyperbolicity and a new discontinuous enrichment. Int J Numer Methods Eng 58(12):1873-1905
    • (2003) Int J Numer Methods Eng , vol.58 , Issue.12 , pp. 1873-1905
    • Belytschko, T.1    Chen, H.2    Xu, J.3    Zi, G.4
  • 11
    • 34250889424 scopus 로고    scopus 로고
    • Bordas S, Moran B (2006) Extended finite element and level set method for damage tolerance assessment of complex structures: an object-oriented approach. EFM (in press)
    • Bordas S, Moran B (2006) Extended finite element and level set method for damage tolerance assessment of complex structures: an object-oriented approach. EFM (in press)
  • 12
    • 84862702465 scopus 로고    scopus 로고
    • Enriched finite element short course: Class notes
    • notes. Organized by S. Bordas and A. Legay through the EPFL school of continuing education, Lausanne, Switzerland
    • Bordas S, Legay A (2005) Enriched finite element short course: class notes. In: The extended finite element method, a new approach to numerical analysis in mechanics: course notes. Organized by S. Bordas and A. Legay through the EPFL school of continuing education, Lausanne, Switzerland
    • (2005) The extended finite element method, a new approach to numerical analysis in mechanics: Course
    • Bordas, S.1    Legay, A.2
  • 14
    • 0032687046 scopus 로고    scopus 로고
    • Spall fracture: Mechanical and microstructural aspects
    • Chevrier P, Klepaczko JR (1999) Spall fracture: Mechanical and microstructural aspects. Eng Fract Mech 63:273-294
    • (1999) Eng Fract Mech , vol.63 , pp. 273-294
    • Chevrier, P.1    Klepaczko, J.R.2
  • 15
    • 0037408558 scopus 로고    scopus 로고
    • Fatigue crack propagation of multiple coplanar cracks with the coupled extended finite element/fast marching method
    • Chopp DL, Sukumar N (2003) Fatigue crack propagation of multiple coplanar cracks with the coupled extended finite element/fast marching method. Int J Eng Sci 41:845-869
    • (2003) Int J Eng Sci , vol.41 , pp. 845-869
    • Chopp, D.L.1    Sukumar, N.2
  • 16
    • 0034734147 scopus 로고    scopus 로고
    • Arbitrary branched and intersection cracks with the extended finite element method
    • Daux C, Moes N, Dolbow J, Sukumar N, Belytschko T (2000) Arbitrary branched and intersection cracks with the extended finite element method. Int J Numer Methods Eng 48:1731-1760
    • (2000) Int J Numer Methods Eng , vol.48 , pp. 1731-1760
    • Daux, C.1    Moes, N.2    Dolbow, J.3    Sukumar, N.4    Belytschko, T.5
  • 17
    • 0031699492 scopus 로고    scopus 로고
    • Modeling of electromagnetic absorption/scattering problems using hp-adaptive finite elements. Coraput Methods
    • Demkovicz L, Vardapetyan L (1998) Modeling of electromagnetic absorption/scattering problems using hp-adaptive finite elements. Coraput Methods Appl Mech Eng 152:103-124
    • (1998) Appl Mech Eng , vol.152 , pp. 103-124
    • Demkovicz, L.1    Vardapetyan, L.2
  • 18
    • 0024087095 scopus 로고
    • An h-p adaptive finite element method for the numerical simulation of compressible flow
    • Devloo P, Oden TJ, Pattani P (1988) An h-p adaptive finite element method for the numerical simulation of compressible flow. Comput Methods Appl Mech Eng 70(2):203-235
    • (1988) Comput Methods Appl Mech Eng , vol.70 , Issue.2 , pp. 203-235
    • Devloo, P.1    Oden, T.J.2    Pattani, P.3
  • 19
    • 33645307104 scopus 로고    scopus 로고
    • A meshless method with enriched weight functions for three-dimensional crack propagation
    • Dufiot M (2006) A meshless method with enriched weight functions for three-dimensional crack propagation. Int J Numer Methods Eng 65(12): 1970-2006
    • (2006) Int J Numer Methods Eng , vol.65 , Issue.12 , pp. 1970-2006
    • Dufiot, M.1
  • 20
    • 0031103229 scopus 로고    scopus 로고
    • A finite element technique to simulate the stable shape evolution of planar cracks with an application to a semi-elliptical surface crack in a bimaterial finite solid
    • Galdos R (1997) A finite element technique to simulate the stable shape evolution of planar cracks with an application to a semi-elliptical surface crack in a bimaterial finite solid. Int J Numer Methods Eng 40:905-917
    • (1997) Int J Numer Methods Eng , vol.40 , pp. 905-917
    • Galdos, R.1
  • 21
    • 17544375227 scopus 로고    scopus 로고
    • Modeling 3D crack propagation in unreinforced concrete using PUFEM
    • Gasser TC, Holzapfel GA (2005) Modeling 3D crack propagation in unreinforced concrete using PUFEM. Comput Methods Appl Mech Eng 194:2859-2896
    • (2005) Comput Methods Appl Mech Eng , vol.194 , pp. 2859-2896
    • Gasser, T.C.1    Holzapfel, G.A.2
  • 22
    • 0037140063 scopus 로고    scopus 로고
    • Non-planar 3D crack growth by the extended finite element and level sets-Part II: Level set update
    • Gravouil A, Moes N, Belytschko T (2002) Non-planar 3D crack growth by the extended finite element and level sets-Part II: Level set update. Int J Numer Methods Eng 53:2569-2586
    • (2002) Int J Numer Methods Eng , vol.53 , pp. 2569-2586
    • Gravouil, A.1    Moes, N.2    Belytschko, T.3
  • 23
    • 0000626839 scopus 로고    scopus 로고
    • Multigrid method for maxwell's equations
    • Hiptmair R (1998) Multigrid method for maxwell's equations. SIAM J Numer Anal 36:204-225
    • (1998) SIAM J Numer Anal , vol.36 , pp. 204-225
    • Hiptmair, R.1
  • 24
    • 10444236497 scopus 로고    scopus 로고
    • Energy norm a posteriori error estimation for mixed discontinuous galerkin approximations of the maxwell operator
    • Houston P, Perugia H, Schötzau D (2005) Energy norm a posteriori error estimation for mixed discontinuous galerkin approximations of the maxwell operator. Comput Methods Appl Mech Eng 194:499-510
    • (2005) Comput Methods Appl Mech Eng , vol.194 , pp. 499-510
    • Houston, P.1    Perugia, H.2    Schötzau, D.3
  • 25
    • 0000495449 scopus 로고
    • A constitutive model and data for metals subjected to large strains, high strain rates, and high temperatures
    • Johnson GR, Cook WH (1983) A constitutive model and data for metals subjected to large strains, high strain rates, and high temperatures. In: Proceedings of 7th International Symposium on Ballistics
    • (1983) Proceedings of 7th International Symposium on Ballistics
    • Johnson, G.R.1    Cook, W.H.2
  • 27
    • 0033078549 scopus 로고    scopus 로고
    • The element free Galerkin method for dynamic propagation of arbitrary 3-D cracks
    • Krysl P, Belytschko T (1999) The element free Galerkin method for dynamic propagation of arbitrary 3-D cracks. Int J Numer Methods Eng 44(6):767-800
    • (1999) Int J Numer Methods Eng , vol.44 , Issue.6 , pp. 767-800
    • Krysl, P.1    Belytschko, T.2
  • 28
    • 0037988214 scopus 로고
    • Evaluation of dissipation and damage in metal submitted to dynamic loading
    • Lemaitre J (1971) Evaluation of dissipation and damage in metal submitted to dynamic loading. In: Proceedings ICM 1
    • (1971) Proceedings ICM , pp. 1
    • Lemaitre, J.1
  • 31
    • 0031119696 scopus 로고    scopus 로고
    • Moving least square reproducing kernel method. (I) methodology and convergence
    • Liu WK, Li S, Belytschko T (1997) Moving least square reproducing kernel method. (I) methodology and convergence. Comput Methods Appl Mech Eng 143:113-154
    • (1997) Comput Methods Appl Mech Eng , vol.143 , pp. 113-154
    • Liu, W.K.1    Li, S.2    Belytschko, T.3
  • 32
    • 0001701945 scopus 로고
    • Mesh-dependence and stress singularity in finite element analysis of creep crack growth by continuum damage mechanics approach
    • Liu Y, Murakami S, Kanagawa Y (1994) Mesh-dependence and stress singularity in finite element analysis of creep crack growth by continuum damage mechanics approach. Eur J Mech A/Solids, 13:395-417
    • (1994) Eur J Mech A/Solids , vol.13 , pp. 395-417
    • Liu, Y.1    Murakami, S.2    Kanagawa, Y.3
  • 33
    • 18144374569 scopus 로고    scopus 로고
    • Integral equation approach for 3d multiple crack problems
    • Lo SH, Dong CY, Cheung YK (2005) Integral equation approach for 3d multiple crack problems. Eng Fract Mech 72:1830-1840
    • (2005) Eng Fract Mech , vol.72 , pp. 1830-1840
    • SH, L.1    Dong, C.Y.2    Cheung, Y.K.3
  • 35
  • 36
    • 0033349534 scopus 로고    scopus 로고
    • A finite element method for crack growth without remeshing
    • Moes N, Dolbow J, Belytschko T (1999) A finite element method for crack growth without remeshing. Int J Numer Methods Eng 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
  • 37
    • 0037140062 scopus 로고    scopus 로고
    • Non-planar 3-D crack growth by the extended finite element method and level sets, Part I: Mechanical model
    • Moes N, Gravouil A, Belytschko T (2002) Non-planar 3-D crack growth by the extended finite element method and level sets, Part I: Mechanical model. Int J Numer Methods Eng 53(11):2549-2568
    • (2002) Int J Numer Methods Eng , vol.53 , Issue.11 , pp. 2549-2568
    • Moes, N.1    Gravouil, A.2    Belytschko, T.3
  • 38
    • 0028479273 scopus 로고
    • On the p- and hp-extension of nedelec's curlconforming elements
    • Monk P (1994) On the p- and hp-extension of nedelec's curlconforming elements. J Comput Appl Math 53:117-137
    • (1994) J Comput Appl Math , vol.53 , pp. 117-137
    • Monk, P.1
  • 39
    • 0032298867 scopus 로고    scopus 로고
    • A posteriori error indicators for maxwell's equations
    • Monk P (1998) A posteriori error indicators for maxwell's equations. J Comput Appl Math 100:173-190
    • (1998) J Comput Appl Math , vol.100 , pp. 173-190
    • Monk, P.1
  • 41
    • 33745034552 scopus 로고    scopus 로고
    • A comparative study on finite elements for capturing strong discontinuities: E-fem vs. x-fem
    • in press
    • Oliver J, Huespe AE, Snchez P.T (2006) A comparative study on finite elements for capturing strong discontinuities: E-fem vs. x-fem. Comput Methods Appl Mech Eng (in press)
    • (2006) Comput Methods Appl Mech Eng
    • Oliver, J.1    Huespe, A.E.2    Snchez, P.T.3
  • 43
    • 22244473362 scopus 로고    scopus 로고
    • Adaptivity for structured meshfree particle methods in 2D and 30
    • Rabczuk T, Belytschko T (2005) Adaptivity for structured meshfree particle methods in 2D and 30. Int J Numer Methods Eng 63(11):1559-1582
    • (2005) Int J Numer Methods Eng , vol.63 , Issue.11 , pp. 1559-1582
    • Rabczuk, T.1    Belytschko, T.2
  • 45
    • 0033722028 scopus 로고    scopus 로고
    • An hp-adaptive finite element method for electromagnetics-Part I: Data structure and constrained approximation
    • Rachowicz W, Demkovicz L (2000) An hp-adaptive finite element method for electromagnetics-Part I: Data structure and constrained approximation. Comput Methods Appl Mech Eng 187:307-335
    • (2000) Comput Methods Appl Mech Eng , vol.187 , pp. 307-335
    • Rachowicz, W.1    Demkovicz, L.2
  • 46
    • 0037049917 scopus 로고    scopus 로고
    • An hp-adaptive finite element method for electromagnetics-part ii: A 3d implementation
    • Rachowicz W, Demkovicz L (2002) An hp-adaptive finite element method for electromagnetics-part ii: a 3d implementation. Int J Numer Methods Eng 53:147-180
    • (2002) Int J Numer Methods Eng , vol.53 , pp. 147-180
    • Rachowicz, W.1    Demkovicz, L.2
  • 47
    • 33744756339 scopus 로고    scopus 로고
    • Meshfree simulations of ductile failure under thermal-mechanical loads
    • Simkins DC Jr, Li S (2006) Meshfree simulations of ductile failure under thermal-mechanical loads. Comput Mech 3:235-249
    • (2006) Comput Mech , vol.3 , pp. 235-249
    • Simkins Jr, D.C.1    Li, S.2
  • 48
    • 0001558336 scopus 로고    scopus 로고
    • An element-free Galerkin method for three-dimensional fracture mechanics
    • Sukumar N, Moran B, Black T, Belytschko T (1997) An element-free Galerkin method for three-dimensional fracture mechanics. Comput Mech 20:170-175
    • (1997) Comput Mech , vol.20 , pp. 170-175
    • Sukumar, N.1    Moran, B.2    Black, T.3    Belytschko, T.4
  • 51
    • 0037199042 scopus 로고    scopus 로고
    • A vector level set method and new discontinuity approximations for crack growth by EFG
    • Ventura G, Xu J, Belytschko T (2002) A vector level set method and new discontinuity approximations for crack growth by EFG. Int J Numer Methods Eng 54(6):923-944
    • (2002) Int J Numer Methods Eng , vol.54 , Issue.6 , pp. 923-944
    • Ventura, G.1    Xu, J.2    Belytschko, T.3
  • 52
    • 0000229173 scopus 로고
    • An analysis of non-planar crack growth under mixed mode loading
    • Xu G, Bower FP, Ortiz M (1994) An analysis of non-planar crack growth under mixed mode loading. Int J Solids Struct 31:2167-2193
    • (1994) Int J Solids Struct , vol.31 , pp. 2167-2193
    • Xu, G.1    Bower, F.P.2    Ortiz, M.3
  • 53
    • 0027702470 scopus 로고
    • A variational boundary integral method for the analysis of 3D cracks of arbitrary geometry modelled as continuous distributions of dislocation loops
    • Xu G, Ortiz M (1993) A variational boundary integral method for the analysis of 3D cracks of arbitrary geometry modelled as continuous distributions of dislocation loops. Tnt J Numer Methods Eng 36:3675-3701
    • (1993) Tnt J Numer Methods Eng , vol.36 , pp. 3675-3701
    • Xu, G.1    Ortiz, M.2
  • 54
    • 0028497372 scopus 로고
    • Numerical simulations of fast crack growth in brittle solids
    • Xu X-P, Needleman A (1994) Numerical simulations of fast crack growth in brittle solids. J Mech Phys Solids 42:1397-1434
    • (1994) J Mech Phys Solids , vol.42 , pp. 1397-1434
    • Xu, X.-P.1    Needleman, A.2
  • 55
    • 4544311316 scopus 로고    scopus 로고
    • A method for growing multiple cracks without remeshing and its application to fatigue crack growth
    • Zi G, Song J-H, Budyn E, Lee S-H, Belytschko T (2004) A method for growing multiple cracks without remeshing and its application to fatigue crack growth. Model Simul Mater Sci Eng 12(1):901-915
    • (2004) Model Simul Mater Sci Eng , vol.12 , Issue.1 , pp. 901-915
    • Zi, G.1    Song, J.-H.2    Budyn, E.3    Lee, S.-H.4    Belytschko, T.5
  • 56
    • 0026866050 scopus 로고
    • The superconvergent patch recovery and a posteriori error estimates. Part I: The recovery technique
    • Zienkiewicz OC, Zhu JZ (1992) The superconvergent patch recovery and a posteriori error estimates. Part I: The recovery technique. Int J Numer Methods Eng 33:1331-1364
    • (1992) Int J Numer Methods Eng , vol.33 , pp. 1331-1364
    • Zienkiewicz, O.C.1    Zhu, J.Z.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.