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Volumn 209-212, Issue , 2012, Pages 115-128

Three-dimensional mortar-based frictional contact treatment in isogeometric analysis with NURBS

Author keywords

Friction; Isogeometric analysis; Mortar method; Three dimensional contact

Indexed keywords

CONTACT FORCES; CONTACT INTERACTION; CONTACT PROBLEM; CONTACT SURFACE; CONTROL POINT; DISCRETIZATIONS; FINITE DEFORMATIONS; FRICTIONAL CONTACT; HIGHER ORDER; ISOGEOMETRIC ANALYSIS; LAGRANGE; MORTAR METHODS; THREE-DIMENSIONAL CONTACT;

EID: 83455181790     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2011.10.014     Document Type: Article
Times cited : (157)

References (63)
  • 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
  • 3
    • 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.M., Hughes T.J.R. 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.M.3    Hughes, T.J.R.4
  • 8
    • 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
  • 10
    • 80051946538 scopus 로고    scopus 로고
    • A large deformation frictional contact formulation using NURBS-based isogeometric analysis
    • online - doi:10.1002/nme.3159
    • De Lorenzis L., Temizer İ., Wriggers P., Zavarise G. A large deformation frictional contact formulation using NURBS-based isogeometric analysis. Int. J. Numer. Methods. Engrg. 2011, online - doi:10.1002/nme.3159.
    • (2011) Int. J. Numer. Methods. Engrg.
    • De Lorenzis, L.1    Temizer, I.2    Wriggers, P.3    Zavarise, G.4
  • 12
    • 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
  • 13
    • 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
  • 14
    • 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, 195:5020-5036.
    • (2006) Comput. Methods Appl. Mech. Engrg. , vol.195 , pp. 5020-5036
    • Fischer, K.A.1    Wriggers, P.2
  • 15
    • 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
  • 18
    • 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
  • 19
    • 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
  • 20
    • 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
  • 21
    • 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. Meth. Engrg. 2009, 77:1468-1500.
    • (2009) Int. J. Numer. Meth. Engrg. , vol.77 , pp. 1468-1500
    • Hesch, C.1    Betsch, P.2
  • 22
    • 0033895887 scopus 로고    scopus 로고
    • Numerical implementation of two nonconforming finite element methods for unilateral contact
    • Hild P. Numerical implementation of two nonconforming finite element methods for unilateral contact. Comput. Methods Appl. Mech. Engrg. 2000, 184:99-123.
    • (2000) Comput. Methods Appl. Mech. Engrg. , vol.184 , pp. 99-123
    • Hild, P.1
  • 24
    • 20444492850 scopus 로고    scopus 로고
    • A priori error estimates and an inexact primal-dual active set strategy for linear and quadratic finite elements applied to multibody contact problems
    • Hüeber S., Mair M., Wohlmuth B.I. A priori error estimates and an inexact primal-dual active set strategy for linear and quadratic finite elements applied to multibody contact problems. Appl. Numer. Math. 2005, 54:555576.
    • (2005) Appl. Numer. Math. , vol.54 , pp. 555576
    • Hüeber, S.1    Mair, M.2    Wohlmuth, B.I.3
  • 25
    • 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
  • 26
    • 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
  • 27
    • 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
  • 29
    • 9544235194 scopus 로고    scopus 로고
    • Higher order B-spline collocation at the Greville abscissae
    • Johnson R.W. Higher order B-spline collocation at the Greville abscissae. Appl. Numer. Math. 2005, 52:63-75.
    • (2005) Appl. Numer. Math. , vol.52 , pp. 63-75
    • Johnson, R.W.1
  • 30
    • 0035838485 scopus 로고    scopus 로고
    • A novel three-dimensional contact finite element based on smooth pressure interpolations
    • Jones R.E., Papadopoulos P. A novel three-dimensional contact finite element based on smooth pressure interpolations. Int. J. Numer. Methods. Engrg. 2001, 51:791-811.
    • (2001) Int. J. Numer. Methods. Engrg. , vol.51 , pp. 791-811
    • Jones, R.E.1    Papadopoulos, P.2
  • 32
    • 60249093454 scopus 로고    scopus 로고
    • Incorporation of contact for high-order finite elements in covariant form
    • Konyukhov A., Schweizerhof K. Incorporation of contact for high-order finite elements in covariant form. Comput. Methods Appl. Mech. Engrg. 2009, 198:12131223.
    • (2009) Comput. Methods Appl. Mech. Engrg. , vol.198 , pp. 12131223
    • Konyukhov, A.1    Schweizerhof, K.2
  • 33
    • 77954763123 scopus 로고    scopus 로고
    • Geometrically exact covariant approach for contact between curves
    • Konyukhov A., Schweizerhof K. Geometrically exact covariant approach for contact between curves. Comput. Methods Appl. Mech. Engrg. 2010, 199:2510-2531.
    • (2010) Comput. Methods Appl. Mech. Engrg. , vol.199 , pp. 2510-2531
    • Konyukhov, A.1    Schweizerhof, K.2
  • 34
    • 84555190355 scopus 로고    scopus 로고
    • , Algorithmic implementation with various finite element models Geometrically exact theory for contact interactions of 1D manifolds
    • Konyukhov A., Schweizerhof K., Algorithmic implementation with various finite element models Geometrically exact theory for contact interactions of 1D manifolds. Comput. Methods Appl. Mech. Engrg. 2012, 205-208C:130-138.
    • (2012) Comput. Methods Appl. Mech. Engrg. , pp. 130-138
    • Konyukhov, A.1    Schweizerhof, K.2
  • 35
    • 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. Computational Mechanics 2002, 29:27-42.
    • (2002) Computational Mechanics , vol.29 , pp. 27-42
    • Krstulovic-Opara, L.1    Wriggers, P.2    Korelc, J.3
  • 36
    • 65449124584 scopus 로고    scopus 로고
    • Robust contact modeling using trimmed nurbs surfaces for dynamic simulations of articular contact
    • Landon R.L., Hast M.W., Piazza S.J. Robust contact modeling using trimmed nurbs surfaces for dynamic simulations of articular contact. Comput. Methods Appl. Mech. Engrg. 2009, 198:23392346.
    • (2009) Comput. Methods Appl. Mech. Engrg. , vol.198 , pp. 23392346
    • Landon, R.L.1    Hast, M.W.2    Piazza, S.J.3
  • 38
    • 84655164991 scopus 로고    scopus 로고
    • Mortar contact formulations for deformabledeformable contact: past contributions and new extensions for enriched and embedded interface formulations
    • Laursen T.A., Puso M.A., Sanders J. Mortar contact formulations for deformabledeformable contact: past contributions and new extensions for enriched and embedded interface formulations. Comput. Methods Appl. Mech. Engrg. 2012, 205-208C:3-15.
    • (2012) Comput. Methods Appl. Mech. Engrg. , pp. 3-15
    • Laursen, T.A.1    Puso, M.A.2    Sanders, J.3
  • 40
    • 78650676600 scopus 로고    scopus 로고
    • Isogeometric contact analysis: Geometric basis and formulation of frictionless contact
    • Lu J. Isogeometric contact analysis: Geometric basis and formulation of frictionless contact. Comput. Methods Appl. Mech. Engrg. 2011, 200:726:741.
    • (2011) Comput. Methods Appl. Mech. Engrg. , pp. 741
    • Lu, J.1
  • 41
    • 0033877467 scopus 로고    scopus 로고
    • Optimization-based virtual surface contact manipulation at force control rates
    • VR '00 Proceedings of the IEEE Virtual Reality 2000 Conference
    • D.D. Nelson, E. Cohen, Optimization-based virtual surface contact manipulation at force control rates, in: VR '00 Proceedings of the IEEE Virtual Reality 2000 Conference, 2000, p.37.
    • (2000) , pp. 37
    • Nelson, D.D.1    Cohen, E.2
  • 42
    • 0035282015 scopus 로고    scopus 로고
    • A framework for development of surface smoothing procedures in large deformation frictional contact analysis
    • Padmanabhan V., Laursen T.A. A framework for development of surface smoothing procedures in large deformation frictional contact analysis. Finite Elements in Analysis and Design 2001, 37:173-198.
    • (2001) Finite Elements in Analysis and Design , vol.37 , pp. 173-198
    • Padmanabhan, V.1    Laursen, T.A.2
  • 43
    • 17544364959 scopus 로고    scopus 로고
    • An analysis of dual formulations for the finite element solution of two-body contact problems
    • Papadopoulos J.M.S.P. An analysis of dual formulations for the finite element solution of two-body contact problems. Computer Methods in Applied Mechanics and Engineering 2005, 194:27342780.
    • (2005) Computer Methods in Applied Mechanics and Engineering , vol.194 , pp. 27342780
    • Papadopoulos, J.M.S.P.1
  • 44
    • 0032143149 scopus 로고    scopus 로고
    • A Lagrange multiplier method for the finite element solution of frictionless contact problems
    • Papadopoulos P., Solberg J.M. A Lagrange multiplier method for the finite element solution of frictionless contact problems. Math. Comput. Model. 1998, 28:373-384.
    • (1998) Math. Comput. Model. , vol.28 , pp. 373-384
    • Papadopoulos, P.1    Solberg, J.M.2
  • 45
    • 0004057469 scopus 로고    scopus 로고
    • Springer, Berlin Heidelberg New York
    • Piegl L., Tiller W. The NURBS Book 1996, Springer, Berlin Heidelberg New York. 2nd ed.
    • (1996) The NURBS Book
    • Piegl, L.1    Tiller, W.2
  • 46
    • 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. Computer Methods in Applied Mechanics and Engineering 1999, 177:351-381.
    • (1999) Computer Methods in Applied Mechanics and Engineering , vol.177 , pp. 351-381
    • Pietrzak, G.1    Curnier, A.2
  • 47
    • 70350639436 scopus 로고    scopus 로고
    • An isogeometric BEM for exterior potential-flow problems in the plane
    • SIAM/ACM Joint Conference on Geometric and Physical Modeling (SPM 09), San Francisco, CA, 2009
    • C. Politis, A.I. Ginnis, P.D. Kaklis, K. Belibassakis, C. Feurer, An isogeometric BEM for exterior potential-flow problems in the plane, in: 2009 SIAM/ACM Joint Conference on Geometric and Physical Modeling (SPM 09), San Francisco, CA, 2009, pp. 349-354.
    • (2009) , pp. 349-354
    • Politis, C.1    Ginnis, A.I.2    Kaklis, P.D.3    Belibassakis, K.4    Feurer, C.5
  • 48
    • 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. Meth. Engng. 2009, 79:1354-1391.
    • (2009) Int. J. Numer. Meth. Engng. , vol.79 , pp. 1354-1391
    • Popp, A.1    Gee, M.W.2    Wall, W.A.3
  • 49
    • 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. 2004, 193:4891-4913.
    • (2004) Comput. Methods Appl. Mech. Engrg. , vol.193 , pp. 4891-4913
    • Puso, M.A.1    Laursen, T.A.2
  • 50
    • 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
  • 54
    • 0022107764 scopus 로고
    • A perturbed lagrangian formulation for the finite element solution of contact problems
    • Simo J.C., Wriggers P., Taylor R.L. A perturbed lagrangian formulation for the finite element solution of contact problems. Comput. Methods Appl. Mech. Engrg. 1985, 50:163-180.
    • (1985) Comput. Methods Appl. Mech. Engrg. , vol.50 , pp. 163-180
    • Simo, J.C.1    Wriggers, P.2    Taylor, R.L.3
  • 56
    • 0042424716 scopus 로고    scopus 로고
    • n continuous modelling of smooth contact surfaces using NURBS and application to 2D problems
    • n continuous modelling of smooth contact surfaces using NURBS and application to 2D problems. Int. J. Numer. Meth. Engng. 2003, 57:2177-2203.
    • (2003) Int. J. Numer. Meth. Engng. , vol.57 , pp. 2177-2203
    • Stadler, M.1    Holzapfel, G.A.2    Korelc, J.3
  • 57
    • 84859834987 scopus 로고    scopus 로고
    • A mixed formulation of mortar-based frictionless contact
    • submitted for publication.
    • İ. Temizer, A mixed formulation of mortar-based frictionless contact, Comput. Methods Appl. Mech. Engrg., submitted for publication.
    • Comput. Methods Appl. Mech. Engrg.
    • Temizer, I.1
  • 59
    • 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
  • 61
    • 0027224658 scopus 로고
    • On the treatment of nonlinear unilateral contact problems
    • Wriggers P., Imhof M. On the treatment of nonlinear unilateral contact problems. Archive of Applied Mechanics 1993, 63:116-129.
    • (1993) Archive of Applied Mechanics , vol.63 , pp. 116-129
    • Wriggers, P.1    Imhof, M.2


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