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Volumn 200, Issue 9-12, 2011, Pages 1100-1112

Contact treatment in isogeometric analysis with NURBS

Author keywords

Isogeometric analysis; Mortar method; NURBS; Thermomechanical contact

Indexed keywords

MORTAR; NUMERICAL METHODS;

EID: 78650974743     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2010.11.020     Document Type: Article
Times cited : (278)

References (52)
  • 2
    • 77949323131 scopus 로고    scopus 로고
    • Large eddy simulation of turbulent Taylor-Couette flow using isogeometric analysis and the residual-based variational multiscale method
    • Bazilevs Y., Akkerman I. Large eddy simulation of turbulent Taylor-Couette flow using isogeometric analysis and the residual-based variational multiscale method. J. Comput. Phys. 2010, 229:3402-3414.
    • (2010) J. Comput. Phys. , vol.229 , pp. 3402-3414
    • Bazilevs, Y.1    Akkerman, I.2
  • 4
    • 52549126993 scopus 로고    scopus 로고
    • Isogeometric fluid-structure interaction: theory, algorithms and computations
    • Bazilevs Y., Calo V., Hughes T., Zhang Y. Isogeometric fluid-structure interaction: theory, algorithms and computations. Comput. Mech. 2008, 43:3-37.
    • (2008) Comput. Mech. , vol.43 , pp. 3-37
    • Bazilevs, Y.1    Calo, V.2    Hughes, T.3    Zhang, Y.4
  • 5
    • 33745677813 scopus 로고    scopus 로고
    • Isogeometric fluid-structure interaction analysis with applications to arterial blood flow
    • Bazilevs Y., Calo V., Zhang Y., Hughes T. Isogeometric fluid-structure interaction analysis with applications to arterial blood flow. Comput. Mech. 2006, 38:310-322.
    • (2006) Comput. Mech. , vol.38 , pp. 310-322
    • Bazilevs, Y.1    Calo, V.2    Zhang, Y.3    Hughes, T.4
  • 6
    • 67649770719 scopus 로고    scopus 로고
    • Patient-specific isogeometric fluid-structure interaction analysis of thoracic aortic blood flow due to implantation of the Jarvik 2000 left ventricular assist device
    • Bazilevs Y., Gohean J., Hughes T., Moser R., Zhang Y. Patient-specific isogeometric fluid-structure interaction analysis of thoracic aortic blood flow due to implantation of the Jarvik 2000 left ventricular assist device. Comput. Methods Appl. Mech. Engrg. 2009, 198:3534-3550.
    • (2009) Comput. Methods Appl. Mech. Engrg. , vol.198 , pp. 3534-3550
    • Bazilevs, Y.1    Gohean, J.2    Hughes, T.3    Moser, R.4    Zhang, Y.5
  • 7
    • 52549119450 scopus 로고    scopus 로고
    • NURBS-based isogeometric analysis for the computation of flows about rotating components
    • Bazilevs Y., Hughes T. NURBS-based isogeometric analysis for the computation of flows about rotating components. Comput. Mech. 2008, 43:143-150.
    • (2008) Comput. Mech. , vol.43 , pp. 143-150
    • Bazilevs, Y.1    Hughes, T.2
  • 8
    • 74049137363 scopus 로고    scopus 로고
    • Isogeometric variational multiscale modeling of wall-bounded turbulent flows with weakly enforced boundary conditions on unstretched meshes
    • Bazilevs Y., Michler C., Calo V., Hughes T. Isogeometric variational multiscale modeling of wall-bounded turbulent flows with weakly enforced boundary conditions on unstretched meshes. Comput. Methods Appl. Mech. Engrg. 2010, 199:780-790.
    • (2010) Comput. Methods Appl. Mech. Engrg. , vol.199 , pp. 780-790
    • Bazilevs, Y.1    Michler, C.2    Calo, V.3    Hughes, T.4
  • 9
    • 78751648559 scopus 로고    scopus 로고
    • D. Benson, Y. Bazilevs, M.-C. Hsu, T. Hughes, A large deformation rotation-free, isogeometric shell, Comput. Methods Appl. Mech. Engrg., doi:10.1016/j.cma.2010.12.003.
  • 11
    • 77952551520 scopus 로고    scopus 로고
    • Isogeometric analysis in electromagnetics: B-splines approximation
    • Buffa A., Sangalli G., Vazquez R. Isogeometric analysis in electromagnetics: B-splines approximation. Comput. Methods Appl. Mech. Engrg. 2010, 199:1143-1152.
    • (2010) Comput. Methods Appl. Mech. Engrg. , vol.199 , pp. 1143-1152
    • Buffa, A.1    Sangalli, G.2    Vazquez, R.3
  • 12
    • 0021575622 scopus 로고
    • Modified entropic elasticity of rubberlike materials
    • Chadwick P., Creasy C.F.M. Modified entropic elasticity of rubberlike materials. J. Mech. Phys. Solids 1984, 32(5):337-357.
    • (1984) J. Mech. Phys. Solids , vol.32 , Issue.5 , pp. 337-357
    • Chadwick, P.1    Creasy, C.F.M.2
  • 13
    • 59449101918 scopus 로고    scopus 로고
    • Isogeometric shape design optimization: exact geometry and enhanced sensitivity
    • Cho S., Ha S. Isogeometric shape design optimization: exact geometry and enhanced sensitivity. Struct. Multidiscip. Optim. 2009, 38:53-70.
    • (2009) Struct. Multidiscip. Optim. , vol.38 , pp. 53-70
    • Cho, S.1    Ha, S.2
  • 14
    • 72549090501 scopus 로고    scopus 로고
    • Analysis-aware modeling: understanding quality considerations in modeling for isogeometric analysis
    • Cohen E., Martin T., Kirby R., Lyche T., Riesenfeld R. Analysis-aware modeling: understanding quality considerations in modeling for isogeometric analysis. Comput. Methods Appl. Mech. Engrg. 2010, 199:334-356.
    • (2010) Comput. Methods Appl. Mech. Engrg. , vol.199 , pp. 334-356
    • Cohen, E.1    Martin, T.2    Kirby, R.3    Lyche, T.4    Riesenfeld, R.5
  • 16
    • 84889790396 scopus 로고    scopus 로고
    • Cottrell J.A., Hughes T.J.R., Bazilevs Y. Isogeometric Analysis 2009, Wiley.
  • 17
    • 44749085922 scopus 로고    scopus 로고
    • B-bar and F-bar projection methods for nearly incompressible linear and nonlinear elasticity and plasticity using higher-order NURBS elements
    • Elguedj T., Bazilevs Y., Calo V., Hughes T. B-bar and F-bar projection methods for nearly incompressible linear and nonlinear elasticity and plasticity using higher-order NURBS elements. Comput. Methods Appl. Mech. Engrg. 2008, 197:2732-2762.
    • (2008) Comput. Methods Appl. Mech. Engrg. , vol.197 , pp. 2732-2762
    • Elguedj, T.1    Bazilevs, Y.2    Calo, V.3    Hughes, T.4
  • 18
    • 0002608383 scopus 로고
    • An interface interpolation scheme for quadratic convergence in the finite element analysis of contact problems
    • Springer-Verlag, Berlin, New York
    • Eterovic A.L., Bathe K.J. An interface interpolation scheme for quadratic convergence in the finite element analysis of contact problems. Computational Methods in Nonlinear Mechanics 1991, 703-715. Springer-Verlag, Berlin, New York.
    • (1991) Computational Methods in Nonlinear Mechanics , pp. 703-715
    • Eterovic, A.L.1    Bathe, K.J.2
  • 19
    • 21544478861 scopus 로고    scopus 로고
    • Frictionless 2D contact formulations for finite deformations based on the mortar method
    • Fischer K.A., Wriggers P. Frictionless 2D contact formulations for finite deformations based on the mortar method. Comput. Mech. 2005, 36:226-244.
    • (2005) Comput. Mech. , vol.36 , pp. 226-244
    • Fischer, K.A.1    Wriggers, P.2
  • 20
    • 33744925446 scopus 로고    scopus 로고
    • Mortar based frictional contact formulation for higher order interpolations using the moving friction cone
    • Fischer K.A., Wriggers P. Mortar based frictional contact formulation for higher order interpolations using the moving friction cone. Comput. Methods Appl. Mech. Engrg. 2006, 2006:5020-5036.
    • (2006) Comput. Methods Appl. Mech. Engrg. , vol.2006 , pp. 5020-5036
    • Fischer, K.A.1    Wriggers, P.2
  • 21
    • 77951769516 scopus 로고    scopus 로고
    • A comparison of the h-, p-, hp-, and rp-version of the FEM for the solution of the 2D Hertzian contact problem
    • Franke D., Düster A., Nübel V., Rank E. A comparison of the h-, p-, hp-, and rp-version of the FEM for the solution of the 2D Hertzian contact problem. Comput. Mech. 2010, 45:513-522.
    • (2010) Comput. Mech. , vol.45 , pp. 513-522
    • Franke, D.1    Düster, A.2    Nübel, V.3    Rank, E.4
  • 23
  • 24
    • 0025530747 scopus 로고
    • Rigid contact modelled by CAD surface
    • Hansson E., Klarbring A. Rigid contact modelled by CAD surface. Engrg. Comput. 1990, 7:344-348.
    • (1990) Engrg. Comput. , vol.7 , pp. 344-348
    • Hansson, E.1    Klarbring, A.2
  • 25
    • 0027544599 scopus 로고
    • An augmented Lagrange method for discrete large-slip contact problems
    • Heegaard J.-H., Curnier A. An augmented Lagrange method for discrete large-slip contact problems. Int. J. Numer. Methods Engrg. 1993, 36:569-593.
    • (1993) Int. J. Numer. Methods Engrg. , vol.36 , pp. 569-593
    • Heegaard, J.-H.1    Curnier, A.2
  • 26
    • 0029776098 scopus 로고    scopus 로고
    • A frictional contact element for strongly curved contact problems
    • Heege A., Alart P. A frictional contact element for strongly curved contact problems. Int. J. Numer. Methods Engrg. 1996, 39:165-184.
    • (1996) Int. J. Numer. Methods Engrg. , vol.39 , pp. 165-184
    • Heege, A.1    Alart, P.2
  • 27
    • 60949108081 scopus 로고    scopus 로고
    • A mortar method for energy-momentum conserving schemes in frictionless dynamic contact problems
    • Hesch C., Betsch P. A mortar method for energy-momentum conserving schemes in frictionless dynamic contact problems. Int. J. Numer. Methods Engrg. 2009, 77:1468-1500.
    • (2009) Int. J. Numer. Methods Engrg. , vol.77 , pp. 1468-1500
    • Hesch, C.1    Betsch, P.2
  • 28
    • 18144376701 scopus 로고    scopus 로고
    • A primal-dual active set strategy for non-linear multibody contact problems
    • Hüeber S., Wohlmuth B.I. A primal-dual active set strategy for non-linear multibody contact problems. Comput. Methods Appl. Mech. Engrg. 2005, 194:3147-3166.
    • (2005) Comput. Methods Appl. Mech. Engrg. , vol.194 , pp. 3147-3166
    • Hüeber, S.1    Wohlmuth, B.I.2
  • 29
    • 60849136307 scopus 로고    scopus 로고
    • Thermo-mechanical contact problems on non-matching meshes
    • Hüeber S., Wohlmuth B.I. Thermo-mechanical contact problems on non-matching meshes. Comput. Methods Appl. Mech. Engrg. 2009, 198:1338-1350.
    • (2009) Comput. Methods Appl. Mech. Engrg. , vol.198 , pp. 1338-1350
    • Hüeber, S.1    Wohlmuth, B.I.2
  • 30
    • 21044443461 scopus 로고    scopus 로고
    • Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
    • Hughes T.J.R., Cottrell J.A., Bazilevs Y. Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement. Comput. Methods Appl. Mech. Engrg. 2005, 194:4135-4195.
    • (2005) Comput. Methods Appl. Mech. Engrg. , vol.194 , pp. 4135-4195
    • Hughes, T.J.R.1    Cottrell, J.A.2    Bazilevs, Y.3
  • 32
    • 85040956871 scopus 로고    scopus 로고
    • Johnson K.L. Contact Mechanics 1987, Cambridge University Press, Cambridge.
  • 34
    • 0036649014 scopus 로고    scopus 로고
    • A C1-continuous formulation for 3D finite deformation frictional contact
    • Krstulovic-Opara L., Wriggers P., Korelc J. A C1-continuous formulation for 3D finite deformation frictional contact. Comput. Mech. 2002, 29:27-42.
    • (2002) Comput. Mech. , vol.29 , pp. 27-42
    • Krstulovic-Opara, L.1    Wriggers, P.2    Korelc, J.3
  • 35
    • 85033663044 scopus 로고    scopus 로고
    • Laursen T.A. Computational Contact and Impact Mechanics 2006, Springer, Berlin, Heidelberg, New York.
  • 37
    • 77953022065 scopus 로고    scopus 로고
    • Isogeometric sizing and shape optimisation of beam structures
    • Nagy A., Abdalla M., Gurdal Z. Isogeometric sizing and shape optimisation of beam structures. Comput. Methods Appl. Mech. Engrg. 2010, 199:1216-1230.
    • (2010) Comput. Methods Appl. Mech. Engrg. , vol.199 , pp. 1216-1230
    • Nagy, A.1    Abdalla, M.2    Gurdal, Z.3
  • 38
    • 0035282015 scopus 로고    scopus 로고
    • A framework for development of surface smoothing procedures in large deformation frictional contact analysis
    • Padmanabhan V., Laursen T. A framework for development of surface smoothing procedures in large deformation frictional contact analysis. Finite Elem. Anal. Des. 2001, 37:173-198.
    • (2001) Finite Elem. Anal. Des. , vol.37 , pp. 173-198
    • Padmanabhan, V.1    Laursen, T.2
  • 39
    • 85033719574 scopus 로고    scopus 로고
    • Piegl L., Tiller W. The NURBS Book 1996, Springer, Berlin, Heidelberg, New York. 2nd ed.
  • 40
    • 0033587473 scopus 로고    scopus 로고
    • Large deformation frictional contact mechanics: continuum formulation and augmented Lagrangean treatment
    • Pietrzak G., Curnier A. Large deformation frictional contact mechanics: continuum formulation and augmented Lagrangean treatment. Comput. Methods Appl. Mech. Engrg. 1999, 177:351-381.
    • (1999) Comput. Methods Appl. Mech. Engrg. , vol.177 , pp. 351-381
    • Pietrzak, G.1    Curnier, A.2
  • 41
    • 69249090888 scopus 로고    scopus 로고
    • A finite deformation mortar contact formulation using a primal-dual active set strategy
    • Popp A., Gee M.W., Wall W.A. A finite deformation mortar contact formulation using a primal-dual active set strategy. Int. J. Numer. Methods Engrg. 2009, 79:1354-1391.
    • (2009) Int. J. Numer. Methods Engrg. , vol.79 , pp. 1354-1391
    • Popp, A.1    Gee, M.W.2    Wall, W.A.3
  • 42
    • 6444231650 scopus 로고    scopus 로고
    • A mortar segment-to-segment frictional contact method for large deformations
    • Puso M.A., Laursen T.A. A mortar segment-to-segment frictional contact method for large deformations. Comput. Methods Appl. Mech. Engrg. 2008, 193:4891-4913.
    • (2008) Comput. Methods Appl. Mech. Engrg. , vol.193 , pp. 4891-4913
    • Puso, M.A.1    Laursen, T.A.2
  • 43
    • 36049013741 scopus 로고    scopus 로고
    • A segment-to-segment mortar contact method for quadratic elements and large deformations
    • Puso M.A., Laursen T.A., Solberg J. A segment-to-segment mortar contact method for quadratic elements and large deformations. Comput. Methods Appl. Mech. Engrg. 2008, 197:555-566.
    • (2008) Comput. Methods Appl. Mech. Engrg. , vol.197 , pp. 555-566
    • Puso, M.A.1    Laursen, T.A.2    Solberg, J.3
  • 44
    • 77950298735 scopus 로고    scopus 로고
    • Shape optimization and its extension to topological design based on isogeometric analysis
    • Seo Y., Kim H., Youn S. Shape optimization and its extension to topological design based on isogeometric analysis. Int. J. Solids Struct. 2010, 47:1618-1640.
    • (2010) Int. J. Solids Struct. , vol.47 , pp. 1618-1640
    • Seo, Y.1    Kim, H.2    Youn, S.3
  • 45
    • 0042424716 scopus 로고    scopus 로고
    • Cn continuous modelling of smooth contact surfaces using NURBS and application to 2D problems
    • Stadler M., Holzapfel G.A., Korelc J. Cn continuous modelling of smooth contact surfaces using NURBS and application to 2D problems. Int. J. Numer. Methods Engrg. 2003, 57:2177-2203.
    • (2003) Int. J. Numer. Methods Engrg. , vol.57 , pp. 2177-2203
    • Stadler, M.1    Holzapfel, G.A.2    Korelc, J.3
  • 46
    • 67949123190 scopus 로고    scopus 로고
    • A mortar-based frictional contact formulation for large deformations using Lagrange multipliers
    • Tur M., Fuenmayor F.J., Wriggers P. A mortar-based frictional contact formulation for large deformations using Lagrange multipliers. Comput. Methods Appl. Mech. Engrg. 2009, 198:2860-2873.
    • (2009) Comput. Methods Appl. Mech. Engrg. , vol.198 , pp. 2860-2873
    • Tur, M.1    Fuenmayor, F.J.2    Wriggers, P.3
  • 47
    • 85033732366 scopus 로고    scopus 로고
    • C. Verhoosel, M. Scott, R. de Borst, T. Hughes, An isogeometric analysis approach to gradient damage models, Int. J. Numer. Methods Engrg. (submitted for publication).
  • 49
    • 84891471348 scopus 로고    scopus 로고
    • Wriggers P. Computational Contact Mechanics 2006, Springer, Berlin, Heidelberg, New York. second ed.
  • 50
  • 52
    • 44449108517 scopus 로고    scopus 로고
    • Numerical techniques for rolling rubber wheels: treatment of inelastic material properties and frictional contact
    • Ziefle M., Nackenhorst U. Numerical techniques for rolling rubber wheels: treatment of inelastic material properties and frictional contact. Comput. Mech. 2008, 42:337-356.
    • (2008) Comput. Mech. , vol.42 , pp. 337-356
    • Ziefle, M.1    Nackenhorst, U.2


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