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Volumn 86, Issue 7, 2011, Pages 915-934

An X-FEM and level set computational approach for image-based modelling: Application to homogenization

Author keywords

Homogenization; Image based modelling; Level sets; X FEM

Indexed keywords

COMPLEX GEOMETRIES; COMPUTATIONAL APPLICATIONS; COMPUTATIONAL APPROACH; COUPLED METHOD; DIGITAL IMAGE; EXTENDED FINITE ELEMENTS; HETEROGENEOUS STRUCTURES; HOMOGENIZATION; HOMOGENIZED PROPERTIES; IMAGE-BASED MODELLING; LEVEL SET; LEVEL SETS METHODS; MATERIAL CHARACTERIZATIONS; MATERIAL STRUCTURE; THREE-DIMENSIONAL PROBLEMS; X-FEM;

EID: 79954474453     PISSN: 00295981     EISSN: 10970207     Source Type: Journal    
DOI: 10.1002/nme.3085     Document Type: Article
Times cited : (92)

References (95)
  • 3
    • 0000442474 scopus 로고
    • The morphological approach to segmentation: the watershed transformation. In Mathematical Morphology in Image Processing, Dougherty ER (ed.).
    • Beucher S, Meyer F. The morphological approach to segmentation: the watershed transformation. In Mathematical Morphology in Image Processing, Dougherty ER (ed.). 1993; 433-481.
    • (1993) , pp. 433-481
    • Beucher, S.1    Meyer, F.2
  • 4
    • 0027227227 scopus 로고
    • A topology independent shape modeling scheme. Proceedings of SPIE Conference on Geometric Methods in Computer Vision II, San Diego, CA, July.
    • Malladi R, Sethian JA, Vemuri BC. A topology independent shape modeling scheme. Proceedings of SPIE Conference on Geometric Methods in Computer Vision II, San Diego, CA, vol. 2031, July 1993; 246-258.
    • (1993) , vol.2031 , pp. 246-258
    • Malladi, R.1    Sethian, J.A.2    Vemuri, B.C.3
  • 7
    • 33846221503 scopus 로고    scopus 로고
    • A review of statistical approaches to level set segmentation: integrating color, texture, motion and shape
    • Cremers D, Rousson M, Deriche R. A review of statistical approaches to level set segmentation: integrating color, texture, motion and shape. International Journal of Computer Vision 2007; 72(2):195-215.
    • (2007) International Journal of Computer Vision , vol.72 , Issue.2 , pp. 195-215
    • Cremers, D.1    Rousson, M.2    Deriche, R.3
  • 8
    • 33645984254 scopus 로고    scopus 로고
    • Computer simulations of realistic microstructures of discontinuously reinforced aluminum alloy (dra) composites
    • Singh H, Gokhale AM, Mao Y, Spowart JE. Computer simulations of realistic microstructures of discontinuously reinforced aluminum alloy (dra) composites. Acta Materialia 2006; 54(8):2131-2143.
    • (2006) Acta Materialia , vol.54 , Issue.8 , pp. 2131-2143
    • Singh, H.1    Gokhale, A.M.2    Mao, Y.3    Spowart, J.E.4
  • 10
    • 33244497604 scopus 로고    scopus 로고
    • Three-dimensional visualization and microstructure-based modeling of deformation in particle-reinforced composites
    • Chawla N, Sidhu RS, Ganesh VV. Three-dimensional visualization and microstructure-based modeling of deformation in particle-reinforced composites. Acta Materialia 2006; 54(6):1541-1548.
    • (2006) Acta Materialia , vol.54 , Issue.6 , pp. 1541-1548
    • Chawla, N.1    Sidhu, R.S.2    Ganesh, V.V.3
  • 11
    • 40349093318 scopus 로고    scopus 로고
    • A framework for automated analysis and simulation of 3D polycrystalline microstructures. Part 1: statistical characterization
    • Groeber M, Ghosh S, Uchic MD, Dimiduk DM. A framework for automated analysis and simulation of 3D polycrystalline microstructures. Part 1: statistical characterization. Acta Materialia 2008; 56(6):1257-1273.
    • (2008) Acta Materialia , vol.56 , Issue.6 , pp. 1257-1273
    • Groeber, M.1    Ghosh, S.2    Uchic, M.D.3    Dimiduk, D.M.4
  • 12
    • 40349094819 scopus 로고    scopus 로고
    • A framework for automated analysis and simulation of 3D polycrystalline microstructures. Part 2: synthetic structure generation
    • Groeber M, Ghosh S, Uchic MD, Dimiduk DM. A framework for automated analysis and simulation of 3D polycrystalline microstructures. Part 2: synthetic structure generation. Acta Materialia 2008; 56(6):1274-1287.
    • (2008) Acta Materialia , vol.56 , Issue.6 , pp. 1274-1287
    • Groeber, M.1    Ghosh, S.2    Uchic, M.D.3    Dimiduk, D.M.4
  • 15
    • 4444234943 scopus 로고    scopus 로고
    • Generation and adaptation of computational surface meshes from discrete anatomical data
    • Frey PJ. Generation and adaptation of computational surface meshes from discrete anatomical data. International Journal for Numerical Methods in Engineering 2004; 60(6):1049-1074.
    • (2004) International Journal for Numerical Methods in Engineering , vol.60 , Issue.6 , pp. 1049-1074
    • Frey, P.J.1
  • 16
    • 0032412757 scopus 로고    scopus 로고
    • Finite element analysis of trabecular bone structure: a comparison of image-based meshing techniques
    • Ulrich D, van Rietbergen B, Weinans H, Regsegger P. Finite element analysis of trabecular bone structure: a comparison of image-based meshing techniques. Journal of Biomechanics 1998; 31(12):1187-1192.
    • (1998) Journal of Biomechanics , vol.31 , Issue.12 , pp. 1187-1192
    • Ulrich, D.1    van Rietbergen, B.2    Weinans, H.3    Regsegger, P.4
  • 17
    • 10444249694 scopus 로고    scopus 로고
    • Finite element modelling of the actual structure of cellular materials determined by X-ray tomography
    • Youssef S, Maire E, Gaertner R. Finite element modelling of the actual structure of cellular materials determined by X-ray tomography. Acta Materialia 2005; 53(3):719-730.
    • (2005) Acta Materialia , vol.53 , Issue.3 , pp. 719-730
    • Youssef, S.1    Maire, E.2    Gaertner, R.3
  • 20
    • 84856515838 scopus 로고    scopus 로고
    • Tetrahedral mesh generation for non-rigid registration of brain MRI: analysis of the requirements and evaluation of solutions
    • Springer: Berlin
    • Fedorov A, Chrisochoides N. Tetrahedral mesh generation for non-rigid registration of brain MRI: analysis of the requirements and evaluation of solutions. The 17th International Meshing Round Table. Springer: Berlin, 2008.
    • (2008) The 17th International Meshing Round Table
    • Fedorov, A.1    Chrisochoides, N.2
  • 23
    • 0028399153 scopus 로고
    • Homogenization theory and digital imaging: a basis for studying the mechanics and design principles of bone tissue
    • Hollister SJ, Kikuchi N. Homogenization theory and digital imaging: a basis for studying the mechanics and design principles of bone tissue. Biotechnology and Bioengineering 1994; 43(7):586-596.
    • (1994) Biotechnology and Bioengineering , vol.43 , Issue.7 , pp. 586-596
    • Hollister, S.J.1    Kikuchi, N.2
  • 24
    • 27244433907 scopus 로고    scopus 로고
    • Automatic voxel-based generation of 3D microstructural FE models and its application to the damage analysis of composites
    • Mishnaevsky Jr LL. Automatic voxel-based generation of 3D microstructural FE models and its application to the damage analysis of composites. Materials Science and Engineering: A 2005; 407(1-2):11-23.
    • (2005) Materials Science and Engineering: A , vol.407 , Issue.1-2 , pp. 11-23
    • Mishnaevsky Jr, L.L.1
  • 27
    • 27644553849 scopus 로고    scopus 로고
    • Mechanical properties of bread crumbs from tomography based finite element simulations
    • Babin P, Valle GD, Dendievel R, Lassoued N, Salvo L. Mechanical properties of bread crumbs from tomography based finite element simulations. Journal of Materials Science 2005; 40(22):5867-5873.
    • (2005) Journal of Materials Science , vol.40 , Issue.22 , pp. 5867-5873
    • Babin, P.1    Valle, G.D.2    Dendievel, R.3    Lassoued, N.4    Salvo, L.5
  • 28
    • 33747876884 scopus 로고    scopus 로고
    • Image-based modeling of the response of experimental 3D microstructures to mechanical loading
    • Lewis AC, Geltmacher AB. Image-based modeling of the response of experimental 3D microstructures to mechanical loading. Scripta Materialia 2006; 55(1):81-85.
    • (2006) Scripta Materialia , vol.55 , Issue.1 , pp. 81-85
    • Lewis, A.C.1    Geltmacher, A.B.2
  • 29
    • 0033988618 scopus 로고    scopus 로고
    • Improving the local solution accuracy of large-scale digital image-based finite element analyses
    • Charras GT, Guldberg RE. Improving the local solution accuracy of large-scale digital image-based finite element analyses. Journal of Biomechanics 2000; 33(2):255-259.
    • (2000) Journal of Biomechanics , vol.33 , Issue.2 , pp. 255-259
    • Charras, G.T.1    Guldberg, R.E.2
  • 30
    • 0037370788 scopus 로고    scopus 로고
    • Microstructure-based stress analysis and evaluation for porous ceramics by homogenization method with digital image-based modeling
    • Takano N, Zako M, Kubo F, Kimura K. Microstructure-based stress analysis and evaluation for porous ceramics by homogenization method with digital image-based modeling. International Journal of Solids and Structures 2003; 40(5):1225-1242.
    • (2003) International Journal of Solids and Structures , vol.40 , Issue.5 , pp. 1225-1242
    • Takano, N.1    Zako, M.2    Kubo, F.3    Kimura, K.4
  • 31
    • 0031257712 scopus 로고    scopus 로고
    • An improved method for finite element mesh generation of geometrically complex structures with application to the skullbase
    • Camacho DLA, Hopper RH, Lin GM, Myers BS. An improved method for finite element mesh generation of geometrically complex structures with application to the skullbase. Journal of Biomechanics 1997; 30(10):1067-1070.
    • (1997) Journal of Biomechanics , vol.30 , Issue.10 , pp. 1067-1070
    • Camacho, D.L.A.1    Hopper, R.H.2    Lin, G.M.3    Myers, B.S.4
  • 34
    • 33646037699 scopus 로고    scopus 로고
    • Smooth surface meshing for automated finite element model generation from 3D image data
    • Boyd SK, Müller R. Smooth surface meshing for automated finite element model generation from 3D image data. Journal of Biomechanics 2006; 39(7):1287-1295.
    • (2006) Journal of Biomechanics , vol.39 , Issue.7 , pp. 1287-1295
    • Boyd, S.K.1    Müller, R.2
  • 35
    • 0032048952 scopus 로고    scopus 로고
    • A numerical method for computing the overall response of nonlinear composites with complex microstructure
    • Moulinec H, Suquet P. A numerical method for computing the overall response of nonlinear composites with complex microstructure. Computer Methods in Applied Mechanics and Engineering 1998; 157(1-2):69-94.
    • (1998) Computer Methods in Applied Mechanics and Engineering , vol.157 , Issue.1-2 , pp. 69-94
    • Moulinec, H.1    Suquet, P.2
  • 36
    • 0242577121 scopus 로고    scopus 로고
    • Comparison of FFT-based methods for computing the response of composites with highly contrasted mechanical properties
    • Moulinec H, Suquet P. Comparison of FFT-based methods for computing the response of composites with highly contrasted mechanical properties. Physica B: Condensed Matter 2003; 338(1-4):58-60.
    • (2003) Physica B: Condensed Matter , vol.338 , Issue.1-4 , pp. 58-60
    • Moulinec, H.1    Suquet, P.2
  • 38
    • 67649662184 scopus 로고    scopus 로고
    • Infinite-contrast periodic composites with strongly nonlinear behavior: effective-medium theory versus full-field simulations
    • Idiart MI, Willot F, Pellegrini Y-P, Ponte Castañeda P. Infinite-contrast periodic composites with strongly nonlinear behavior: effective-medium theory versus full-field simulations. International Journal of Solids and Structures 2009; 46(18-19):3365-3382.
    • (2009) International Journal of Solids and Structures , vol.46 , Issue.18-19 , pp. 3365-3382
    • Idiart, M.I.1    Willot, F.2    Pellegrini, Y.-P.3    Ponte Castañeda, P.4
  • 39
    • 0031538248 scopus 로고    scopus 로고
    • Composite finite elements for the approximation of PDEs on domains with complicated micro-structures
    • Hackbusch W, Sauter SA. Composite finite elements for the approximation of PDEs on domains with complicated micro-structures. Numerische Mathematik 1997; 75(4):447-472.
    • (1997) Numerische Mathematik , vol.75 , Issue.4 , pp. 447-472
    • Hackbusch, W.1    Sauter, S.A.2
  • 44
    • 24044520697 scopus 로고    scopus 로고
    • An integrated procedure for three-dimensional structural analysis with the finite cover method
    • Terada K, Kurumatani M. An integrated procedure for three-dimensional structural analysis with the finite cover method. International Journal for Numerical Methods in Engineering 2005; 63:2102-2123.
    • (2005) International Journal for Numerical Methods in Engineering , vol.63 , pp. 2102-2123
    • Terada, K.1    Kurumatani, M.2
  • 45
    • 68549096019 scopus 로고    scopus 로고
    • Finite cover method with multi-cover layers for the analysis of evolving discontinuities in heterogeneous media
    • Kurumatani M, Terada K. Finite cover method with multi-cover layers for the analysis of evolving discontinuities in heterogeneous media. International Journal for Numerical Methods in Engineering 2009; 79(1):1-24.
    • (2009) International Journal for Numerical Methods in Engineering , vol.79 , Issue.1 , pp. 1-24
    • Kurumatani, M.1    Terada, K.2
  • 52
    • 0043157619 scopus 로고    scopus 로고
    • Generalized finite element method using mesh-based handbooks: application to problems in domains with many voids
    • Strouboulis T, Zhang L, Babuška I. Generalized finite element method using mesh-based handbooks: application to problems in domains with many voids. Computer Methods in Applied Mechanics and Engineering 2003; 192(28-30):3109-3161.
    • (2003) Computer Methods in Applied Mechanics and Engineering , vol.192 , Issue.28-30 , pp. 3109-3161
    • Strouboulis, T.1    Zhang, L.2    Babuška, I.3
  • 53
  • 54
    • 36048939772 scopus 로고    scopus 로고
    • Analysis applications of a generalized finite element method with global-local enrichment functions
    • Duarte CA, Kim DJ. Analysis applications of a generalized finite element method with global-local enrichment functions. Computer Methods in Applied Mechanics and Engineering 2008; 197:487-504.
    • (2008) Computer Methods in Applied Mechanics and Engineering , vol.197 , pp. 487-504
    • Duarte, C.A.1    Kim, D.J.2
  • 61
    • 77953081329 scopus 로고    scopus 로고
    • Studied X-FEM enrichment to handle material interfaces with higher order finite element
    • Dréau K, Chevaugeon N, Moës N. Studied X-FEM enrichment to handle material interfaces with higher order finite element. Computer Methods in Applied Mechanics and Engineering 2010; 199(29-32):1922-1936.
    • (2010) Computer Methods in Applied Mechanics and Engineering , vol.199 , Issue.29-32 , pp. 1922-1936
    • Dréau, K.1    Chevaugeon, N.2    Moës, N.3
  • 62
    • 0034734147 scopus 로고    scopus 로고
    • Arbitrary branched and intersecting cracks with the eXtended finite element method
    • Proceedings of the 16th International Workshop on Computational Mechanics of Materials-IWCMM-16.
    • Daux C, Moës N, Dolbow J, Sukumar N, Belytschko T. Arbitrary branched and intersecting cracks with the eXtended finite element method. International Journal for Numerical Methods in Engineering 2000; 48:1741-1760. Proceedings of the 16th International Workshop on Computational Mechanics of Materials-IWCMM-16.
    • (2000) International Journal for Numerical Methods in Engineering , vol.48 , pp. 1741-1760
    • Daux, C.1    Moës, N.2    Dolbow, J.3    Sukumar, N.4    Belytschko, T.5
  • 63
    • 44649197155 scopus 로고    scopus 로고
    • Challenges in computational materials science: multiple scales, multi-physics and evolving discontinuities
    • de Borst R. Challenges in computational materials science: multiple scales, multi-physics and evolving discontinuities. Computational Materials Science 2008; 43(1):1-15.
    • (2008) Computational Materials Science , vol.43 , Issue.1 , pp. 1-15
    • de Borst, R.1
  • 64
    • 33750968781 scopus 로고    scopus 로고
    • Image-based extended finite element modeling of thermal barrier coatings
    • Michlik P, Berndt C. Image-based extended finite element modeling of thermal barrier coatings. Surface and Coatings Technology 2006; 201(6):2369-2380.
    • (2006) Surface and Coatings Technology , vol.201 , Issue.6 , pp. 2369-2380
    • Michlik, P.1    Berndt, C.2
  • 66
    • 77952007132 scopus 로고    scopus 로고
    • Analysis of micro fracture in human Haversian cortical bone under transverse tension using extended physical imaging
    • Budyn É, Hoc T. Analysis of micro fracture in human Haversian cortical bone under transverse tension using extended physical imaging. International Journal for Numerical Methods in Engineering 2010; 82(8):940-965.
    • (2010) International Journal for Numerical Methods in Engineering , vol.82 , Issue.8 , pp. 940-965
    • Budyn, E.1    Hoc, T.2
  • 67
    • 34548809095 scopus 로고    scopus 로고
    • Shear-band capturing using a multiscale extended digital image correlation technique
    • Réthoré J, Hild F, Roux S. Shear-band capturing using a multiscale extended digital image correlation technique. Computer Methods in Applied Mechanics and Engineering 2007; 196(49-52):5016-5030.
    • (2007) Computer Methods in Applied Mechanics and Engineering , vol.196 , Issue.49-52 , pp. 5016-5030
    • Réthoré, J.1    Hild, F.2    Roux, S.3
  • 70
    • 0031070742 scopus 로고    scopus 로고
    • Macro and micro scale modeling of thermal residual stresses in metal matrix composite surface layers by the homogenization method
    • Golanski D, Terada K, Kikuchi N. Macro and micro scale modeling of thermal residual stresses in metal matrix composite surface layers by the homogenization method. Computational Mechanics 1997; 19(3):188-202.
    • (1997) Computational Mechanics , vol.19 , Issue.3 , pp. 188-202
    • Golanski, D.1    Terada, K.2    Kikuchi, N.3
  • 71
    • 30744439800 scopus 로고    scopus 로고
    • Image-based multi-scale modelling strategy for complex and heterogeneous porous microstructures by mesh superposition method
    • Kawagai M, Sando A, Takano N. Image-based multi-scale modelling strategy for complex and heterogeneous porous microstructures by mesh superposition method. Modelling and Simulation in Materials Science and Engineering 2006; 14(1):53-69.
    • (2006) Modelling and Simulation in Materials Science and Engineering , vol.14 , Issue.1 , pp. 53-69
    • Kawagai, M.1    Sando, A.2    Takano, N.3
  • 72
    • 33747887299 scopus 로고    scopus 로고
    • Apparent and effective physical properties of heterogeneous materials: representativity of samples of two materials from food industry
    • Kanit T, N'Guyen F, Forest S, Jeulin D, Reed M, Singleton S. Apparent and effective physical properties of heterogeneous materials: representativity of samples of two materials from food industry. Computer Methods in Applied Mechanics and Engineering 2006; 195(33-36):3960-3982.
    • (2006) Computer Methods in Applied Mechanics and Engineering , vol.195 , Issue.33-36 , pp. 3960-3982
    • Kanit, T.1    N'Guyen, F.2    Forest, S.3    Jeulin, D.4    Reed, M.5    Singleton, S.6
  • 73
  • 74
    • 0037370788 scopus 로고    scopus 로고
    • Microstructure-based stress analysis and evaluation for porous ceramics by homogenization method with digital image-based modeling
    • Takano N, Zako M, Kubo F, Kimura K. Microstructure-based stress analysis and evaluation for porous ceramics by homogenization method with digital image-based modeling. International Journal of Solids and Structures 2003; 40(5):1225-1242.
    • (2003) International Journal of Solids and Structures , vol.40 , Issue.5 , pp. 1225-1242
    • Takano, N.1    Zako, M.2    Kubo, F.3    Kimura, K.4
  • 75
    • 79954455478 scopus 로고    scopus 로고
    • Image-based computational homogenization of random materials using level sets and X-FEM. The 5th European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2008)-8th World Congress on Computational Mechanics (WCCM8).
    • Cartraud P, Ionescu I, Legrain G, Moës N. Image-based computational homogenization of random materials using level sets and X-FEM. The 5th European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2008)-8th World Congress on Computational Mechanics (WCCM8), 2008.
    • (2008)
    • Cartraud, P.1    Ionescu, I.2    Legrain, G.3    Moës, N.4
  • 77
    • 84951671794 scopus 로고
    • Über ein Variationprinzip zur lösung von Dirichlet-Problem bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind
    • Nitsche J. Über ein Variationprinzip zur lösung von Dirichlet-Problem bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind. Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1971; 36:9-15.
    • (1971) Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg , vol.36 , pp. 9-15
    • Nitsche, J.1
  • 78
    • 3142681642 scopus 로고    scopus 로고
    • A finite element method for the simulation of strong and weak discontinuities in solid mechanics
    • Hansbo A, Hansbo P. A finite element method for the simulation of strong and weak discontinuities in solid mechanics. Computer Methods in Applied Mechanics and Engineering 2004; 193(33-35):3523-3540.
    • (2004) Computer Methods in Applied Mechanics and Engineering , vol.193 , Issue.33-35 , pp. 3523-3540
    • Hansbo, A.1    Hansbo, P.2
  • 79
    • 65449162254 scopus 로고    scopus 로고
    • A stable lagrange multiplier space for the stiff interface conditions within the extende finite element method
    • Béchet E, Moës N, Wohlmuth B. A stable lagrange multiplier space for the stiff interface conditions within the extende finite element method. International Journal for Numerical Methods in Engineering 2009; 78(8):931-954.
    • (2009) International Journal for Numerical Methods in Engineering , vol.78 , Issue.8 , pp. 931-954
    • Béchet, E.1    Moës, N.2    Wohlmuth, B.3
  • 81
    • 77955512786 scopus 로고    scopus 로고
    • 3D two scale X-FEM crack model with interfacial frictional contact: application to fretting fatigue
    • 36th Leeds-Lyon Symposium Special Issue: Multi-facets of Tribology.
    • Pierres E, Baietto MC, Gravouil A, Morales-Espejel G. 3D two scale X-FEM crack model with interfacial frictional contact: application to fretting fatigue. Tribology International 2010; 43(10):1831-1841. 36th Leeds-Lyon Symposium Special Issue: Multi-facets of Tribology.
    • (2010) Tribology International , vol.43 , Issue.10 , pp. 1831-1841
    • Pierres, E.1    Baietto, M.C.2    Gravouil, A.3    Morales-Espejel, G.4
  • 83
    • 0037644851 scopus 로고    scopus 로고
    • Determination of the size of the representative volume element for random composites: statistical and numerical approach
    • Kanit T, Forest S, Galliet I, Mounoury V, Jeulin D. Determination of the size of the representative volume element for random composites: statistical and numerical approach. International Journal of Solids and Structures 2003; 40(13-14):3647-3679.
    • (2003) International Journal of Solids and Structures , vol.40 , Issue.13-14 , pp. 3647-3679
    • Kanit, T.1    Forest, S.2    Galliet, I.3    Mounoury, V.4    Jeulin, D.5
  • 84
    • 33644916379 scopus 로고    scopus 로고
    • Material spatial randomness: from statistical to representative volume element
    • Ostoja-Starzewski M. Material spatial randomness: from statistical to representative volume element. Probabilistic Engineering Mechanics 2006; 21(2):112-132.
    • (2006) Probabilistic Engineering Mechanics , vol.21 , Issue.2 , pp. 112-132
    • Ostoja-Starzewski, M.1
  • 85
    • 0003221647 scopus 로고
    • Elements of homogenization for inelastic solid mechanics
    • Sanchez-Palencia E, Zaoui A (eds), Lecture Notes in Physics, Springer: Berlin
    • Suquet P. Elements of homogenization for inelastic solid mechanics. In Homogenization Techniques for Composite Media, Sanchez-Palencia E, Zaoui A (eds), Lecture Notes in Physics, vol. 272. Springer: Berlin, 1985; 193-278.
    • (1985) Homogenization Techniques for Composite Media , vol.272 , pp. 193-278
    • Suquet, P.1
  • 86
    • 0035203436 scopus 로고    scopus 로고
    • Numerical evaluation of effective elastic properties of graphite fiber tow impregnated by polymer matrix
    • Zeman J, Sejnoha M. Numerical evaluation of effective elastic properties of graphite fiber tow impregnated by polymer matrix. Journal of the Mechanics and Physics of Solids 2001; 49(1):69-90.
    • (2001) Journal of the Mechanics and Physics of Solids , vol.49 , Issue.1 , pp. 69-90
    • Zeman, J.1    Sejnoha, M.2
  • 89
    • 79954485260 scopus 로고    scopus 로고
    • Cracks and crack propagation with XFEM and hanging nodes in 2D. IV European Conference on Computational Mechanics, European Community on Computational Methods in Applied Sciences.
    • Alizada A, Fries TP. Cracks and crack propagation with XFEM and hanging nodes in 2D. IV European Conference on Computational Mechanics, European Community on Computational Methods in Applied Sciences, 2010.
    • (2010)
    • Alizada, A.1    Fries, T.P.2
  • 90
    • 40849092432 scopus 로고    scopus 로고
    • Relating cellular structure of open solid food foams to their Young's modulus: finite element calculation
    • Guessasma S, Babin P, Della Valle G, Dendievel R. Relating cellular structure of open solid food foams to their Young's modulus: finite element calculation. International Journal of Solids and Structures 2008; 45(10):2881-2896.
    • (2008) International Journal of Solids and Structures , vol.45 , Issue.10 , pp. 2881-2896
    • Guessasma, S.1    Babin, P.2    Della Valle, G.3    Dendievel, R.4
  • 91
    • 57849113081 scopus 로고    scopus 로고
    • A posteriori error estimation for extended finite elements by an extended global recovery
    • Duflot M, Bordas S. A posteriori error estimation for extended finite elements by an extended global recovery. International Journal for Numerical Methods in Engineering 2008; 76(8):1123-1138.
    • (2008) International Journal for Numerical Methods in Engineering , vol.76 , Issue.8 , pp. 1123-1138
    • Duflot, M.1    Bordas, S.2
  • 92
    • 34250351160 scopus 로고    scopus 로고
    • Derivative recovery and a posteriori error estimate for extended finite elements
    • Bordas S, Duflot M. Derivative recovery and a posteriori error estimate for extended finite elements. Computer Methods in Applied Mechanics and Engineering 2007; 196(35-36):3381-3399.
    • (2007) Computer Methods in Applied Mechanics and Engineering , vol.196 , Issue.35-36 , pp. 3381-3399
    • Bordas, S.1    Duflot, M.2
  • 94
    • 79954554129 scopus 로고    scopus 로고
    • Comparison of two approaches for error estimation with X-FEM. IV European Conference on Computational Mechanics, European Community on Computational Methods in Applied Sciences.
    • Allais R, Legrain G, Cartraud P. Comparison of two approaches for error estimation with X-FEM. IV European Conference on Computational Mechanics, European Community on Computational Methods in Applied Sciences, 2010.
    • (2010)
    • Allais, R.1    Legrain, G.2    Cartraud, P.3
  • 95
    • 79954454333 scopus 로고    scopus 로고
    • Error estimation within the extended finite element analysis of cracks. IV European Conference on Computational Mechanics, European Community on Computational Methods in Applied Sciences.
    • Hoppe C, Loehnert S, Wriggers P, Stein E. Error estimation within the extended finite element analysis of cracks. IV European Conference on Computational Mechanics, European Community on Computational Methods in Applied Sciences, 2010.
    • (2010)
    • Hoppe, C.1    Loehnert, S.2    Wriggers, P.3    Stein, E.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.