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Volumn 39, Issue 4, 2007, Pages 537-554

Contact analysis for solids based on linearly conforming radial point interpolation method

Author keywords

Contact interface model; Frictional contact; Gradient smoothing; Interpolation function; Meshfree method; Parametric variational principle

Indexed keywords

COMPUTATIONAL COMPLEXITY; COMPUTATIONAL METHODS; CONTROL NONLINEARITIES; INTERPOLATION; MATHEMATICAL MODELS; PARAMETER ESTIMATION;

EID: 33846258138     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00466-006-0057-6     Document Type: Article
Times cited : (54)

References (61)
  • 3
    • 0023453028 scopus 로고
    • A note on the optimum choice for penalty parameters
    • Nour-omid B. Wriggers P (1987) A note on the optimum choice for penalty parameters. Commun Appl Numer Methods 3:581-585
    • (1987) Commun Appl Numer Methods , vol.3 , pp. 581-585
    • Nour-omid, B.1    Wriggers, P.2
  • 4
    • 0442328968 scopus 로고    scopus 로고
    • A mortar segment-to-segment contact method for large deformation solid mechanics
    • Pusoa MA, Laursen TA (2004) A mortar segment-to-segment contact method for large deformation solid mechanics. Comput Methods Appl Mech Eng 193:601-629
    • (2004) Comput Methods Appl Mech Eng , vol.193 , pp. 601-629
    • Pusoa, M.A.1    Laursen, T.A.2
  • 5
    • 0031162554 scopus 로고    scopus 로고
    • On contact between three-dimensional beams undergoing large deformations
    • Wriggers P, Zavarise G (1997) On contact between three-dimensional beams undergoing large deformations. Commun Numer Methods Eng 13:429-438
    • (1997) Commun Numer Methods Eng , vol.13 , pp. 429-438
    • Wriggers, P.1    Zavarise, G.2
  • 6
    • 2942604952 scopus 로고    scopus 로고
    • A model of adhesion coupled to contact and friction
    • Talon C, Curnier A (2003) A model of adhesion coupled to contact and friction. Bur J Mech A/Solids 22:545-565
    • (2003) Bur J Mech A/Solids , vol.22 , pp. 545-565
    • Talon, C.1    Curnier, A.2
  • 7
    • 0032143149 scopus 로고    scopus 로고
    • A Lagrange multiplier method for the finite element solution of frictionless contact problems
    • Papadopolos P, Solberg JM (1998) A Lagrange multiplier method for the finite element solution of frictionless contact problems. Methods Comput Modelling 28:373-384
    • (1998) Methods Comput Modelling , vol.28 , pp. 373-384
    • Papadopolos, P.1    Solberg, J.M.2
  • 8
    • 0027677837 scopus 로고
    • Application of augmented Lagrangian techniques for non-linear constitutive laws in contact interfaces
    • Wriggers P, Zavarise G (1993) Application of augmented Lagrangian techniques for non-linear constitutive laws in contact interfaces. Commun Num Methods Eng 9:815-824
    • (1993) Commun Num Methods Eng , vol.9 , pp. 815-824
    • Wriggers, P.1    Zavarise, G.2
  • 9
    • 0026626125 scopus 로고
    • An augmented Lagrangian treatment of contact problems involving friction
    • Simo JC, Laursen TA (1992) An augmented Lagrangian treatment of contact problems involving friction. Comput Struct 42:97-116
    • (1992) Comput Struct , vol.42 , pp. 97-116
    • Simo, J.C.1    Laursen, T.A.2
  • 10
    • 0033587473 scopus 로고    scopus 로고
    • Large deformation frictional contact mechanics: Continuum formulation and augmented Lagrangian treatment
    • Pietrzak G, Curnier A (1996) Large deformation frictional contact mechanics: continuum formulation and augmented Lagrangian treatment. Comput Methods Appl Eng 177:351-381
    • (1996) Comput Methods Appl Eng , vol.177 , pp. 351-381
    • Pietrzak, G.1    Curnier, A.2
  • 11
    • 0032143137 scopus 로고    scopus 로고
    • Various numerical methods for solving unilateral contact problems with friction
    • Chabrand P, Dubois F, Raous M (1998) Various numerical methods for solving unilateral contact problems with friction. Mathods Comput Modelling 28(4-8):97-108
    • (1998) Mathods Comput Modelling , vol.28 , Issue.4-8 , pp. 97-108
    • Chabrand, P.1    Dubois, F.2    Raous, M.3
  • 12
    • 0037732273 scopus 로고    scopus 로고
    • Contact, friction, discrete mechanical structures and mathematical programming
    • Wriggers P, Panagiotopoulos P eds, Springer, Berlin Heidelberg New York, pp
    • Klarbring A (1999) Contact, friction, discrete mechanical structures and mathematical programming. In: Wriggers P, Panagiotopoulos P (eds) New developments in contact problems. Springer, Berlin Heidelberg New York, pp 55-100
    • (1999) New developments in contact problems , pp. 55-100
    • Klarbring, A.1
  • 13
    • 1642292026 scopus 로고    scopus 로고
    • Quasistatic Signorini problem with Coulomb friction and coupling to adhesion
    • Wriggers P, Panagiotopoulos P eds, Springer, Berlin Heidelberg New York, pp
    • Raous M (1999) Quasistatic Signorini problem with Coulomb friction and coupling to adhesion. In: Wriggers P, Panagiotopoulos P (eds) New developments in contact problems. Springer, Berlin Heidelberg New York, pp 101-178
    • (1999) New developments in contact problems , pp. 101-178
    • Raous, M.1
  • 14
    • 0037390619 scopus 로고    scopus 로고
    • A simple formulation for two-dimensional contact problems using a moving friction cone
    • Wriggers P, Haraldsson A (2003) A simple formulation for two-dimensional contact problems using a moving friction cone. Commun Num Methods Eng 19:285-295
    • (2003) Commun Num Methods Eng , vol.19 , pp. 285-295
    • Wriggers, P.1    Haraldsson, A.2
  • 17
    • 0037139379 scopus 로고    scopus 로고
    • Time-discretized variational formulation of non-smooth frictional contact
    • Pandofi A, Kane C, Marsden JE, Ortiz M (2002) Time-discretized variational formulation of non-smooth frictional contact. Int J Numer Methods Eng 53:1801-1829
    • (2002) Int J Numer Methods Eng , vol.53 , pp. 1801-1829
    • Pandofi, A.1    Kane, C.2    Marsden, J.E.3    Ortiz, M.4
  • 18
    • 0027907837 scopus 로고
    • Independent meshing of contacting surfaces using fictitious nodes in boundary element analysis
    • Olukoko OA, Becker AA, Fenner RT (1993) Independent meshing of contacting surfaces using fictitious nodes in boundary element analysis. Comput Struct 48:787-801
    • (1993) Comput Struct , vol.48 , pp. 787-801
    • Olukoko, O.A.1    Becker, A.A.2    Fenner, R.T.3
  • 19
    • 0030257952 scopus 로고    scopus 로고
    • Analysis of semicoercive contact problems using symmetric BEM and augmented Lagrangians
    • Dostal Z, Friedlander A, Santos SA, Malik J (1996) Analysis of semicoercive contact problems using symmetric BEM and augmented Lagrangians. Eng Anal Bound Elem 18:195-201
    • (1996) Eng Anal Bound Elem , vol.18 , pp. 195-201
    • Dostal, Z.1    Friedlander, A.2    Santos, S.A.3    Malik, J.4
  • 20
    • 0032687678 scopus 로고    scopus 로고
    • The numerical treatment of local variables in three-dimensional frictional contact problems using the boundary element method
    • Leahy JG and Becker AA (1999) The numerical treatment of local variables in three-dimensional frictional contact problems using the boundary element method. Comput Struct 71:383-395
    • (1999) Comput Struct , vol.71 , pp. 383-395
    • Leahy, J.G.1    Becker, A.A.2
  • 21
    • 1842453717 scopus 로고    scopus 로고
    • Boundary element analysis of 3-D elasto-plastic contact problems with friction
    • Gun H (2004) Boundary element analysis of 3-D elasto-plastic contact problems with friction. Comput Struct 82:555-566
    • (2004) Comput Struct , vol.82 , pp. 555-566
    • Gun, H.1
  • 22
    • 0018441375 scopus 로고
    • A discrete numerical model for granular assemblies
    • Cundall PA, Strack ODL (1979) A discrete numerical model for granular assemblies. Geotech 29:47-65
    • (1979) Geotech , vol.29 , pp. 47-65
    • Cundall, P.A.1    Strack, O.D.L.2
  • 23
    • 0036376685 scopus 로고    scopus 로고
    • An improved discrete element method based on a variational formulation of the frictional contact law
    • Fortin J, Hjiajb M, Saxce GD (2002) An improved discrete element method based on a variational formulation of the frictional contact law. Comput Geotech 29:609-640
    • (2002) Comput Geotech , vol.29 , pp. 609-640
    • Fortin, J.1    Hjiajb, M.2    Saxce, G.D.3
  • 24
    • 33846262571 scopus 로고    scopus 로고
    • Shi GH (1988) Discontinuous deformation analysis - a new numerical model for the statics, dynamics of block systems (Ph.D. thesis). Univ. California, Berkeley, USA
    • Shi GH (1988) Discontinuous deformation analysis - a new numerical model for the statics, dynamics of block systems (Ph.D. thesis). Univ. California, Berkeley, USA
  • 25
    • 0031690249 scopus 로고    scopus 로고
    • Cheng YM (1998) Advancements and improvement in discontinuous deformation analysis.Comput Geotech 22:153-163
    • Cheng YM (1998) Advancements and improvement in discontinuous deformation analysis.Comput Geotech 22:153-163
  • 26
    • 33846203398 scopus 로고    scopus 로고
    • Li Y (2000) Discontinuous deformation computational mechanic model and its applications in geotechnical engineering (Ph.D. thesis). Dalian univ Tech, Dalian, PRC (in Chinese)
    • Li Y (2000) Discontinuous deformation computational mechanic model and its applications in geotechnical engineering (Ph.D. thesis). Dalian univ Tech, Dalian, PRC (in Chinese)
  • 30
    • 0001765873 scopus 로고
    • A numerical approach to the testing of fusion process
    • Lucy LB (1977) A numerical approach to the testing of fusion process. J Astron 88:1013-1024
    • (1977) J Astron , vol.88 , pp. 1013-1024
    • Lucy, L.B.1
  • 31
    • 85183430449 scopus 로고
    • Smoothed particle hydrodynamics: Theory and application to non-spherical stars
    • Gingold RA, Monaghan JJ (1977) Smoothed particle hydrodynamics: theory and application to non-spherical stars. Mon Not R Astron Soc 181:375-389
    • (1977) Mon Not R Astron Soc , vol.181 , pp. 375-389
    • Gingold, R.A.1    Monaghan, J.J.2
  • 32
    • 0030405630 scopus 로고    scopus 로고
    • Smoothed particle hydrodynamics: Some recent improvements and applications
    • Randles PW, Libersky LD (1996) Smoothed particle hydrodynamics: some recent improvements and applications. Comput Methods Appl Mech Eng 139:375-408
    • (1996) Comput Methods Appl Mech Eng , vol.139 , pp. 375-408
    • Randles, P.W.1    Libersky, L.D.2
  • 35
    • 0028400170 scopus 로고
    • A new implementation of the element-free Galerkin method
    • Lu Y, Belytschko T, Gu L (1994) A new implementation of the element-free Galerkin method. Comput Methods Appl Mech Eng 133:397-414
    • (1994) Comput Methods Appl Mech Eng , vol.133 , pp. 397-414
    • Lu, Y.1    Belytschko, T.2    Gu, L.3
  • 38
    • 0032136132 scopus 로고    scopus 로고
    • A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics
    • Atluri SN, Zhu T (1998) A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics. Comput Mech 22:117-127
    • (1998) Comput Mech , vol.22 , pp. 117-127
    • Atluri, S.N.1    Zhu, T.2
  • 39
    • 0033353654 scopus 로고    scopus 로고
    • Analysis of the thin beam, using the meshless local Petrov-Galerkin (MLPG) method, with generalized moving least squares interpolations
    • Atluri SN, Cho JY, Kim HG (1999) Analysis of the thin beam, using the meshless local Petrov-Galerkin (MLPG) method, with generalized moving least squares interpolations. Comput Mech 24: 334-347
    • (1999) Comput Mech , vol.24 , pp. 334-347
    • Atluri, S.N.1    Cho, J.Y.2    Kim, H.G.3
  • 40
    • 0034483501 scopus 로고    scopus 로고
    • Meshless local Petrov-Galerkin (MLPG) method in combination with finite element and boundary element approaches
    • Liu GR, Gu YT (2000) Meshless local Petrov-Galerkin (MLPG) method in combination with finite element and boundary element approaches. Comput Mech 26:536-546
    • (2000) Comput Mech , vol.26 , pp. 536-546
    • Liu, G.R.1    Gu, Y.T.2
  • 41
    • 0035112642 scopus 로고    scopus 로고
    • A point interpolation method for two-dimensional solid
    • Liu GR, Gu YT (2001) A point interpolation method for two-dimensional solid. Int J Num Methods Eng 50:937-951
    • (2001) Int J Num Methods Eng , vol.50 , pp. 937-951
    • Liu, G.R.1    Gu, Y.T.2
  • 42
    • 0037066169 scopus 로고    scopus 로고
    • Numerical analysis of Biot's consolidation process by radial point interpolation method
    • Wang JG, Liu GR, Lin P (2002) Numerical analysis of Biot's consolidation process by radial point interpolation method. Int J Solids Struct 39:1557-1573
    • (2002) Int J Solids Struct , vol.39 , pp. 1557-1573
    • Wang, J.G.1    Liu, G.R.2    Lin, P.3
  • 43
    • 0037192730 scopus 로고    scopus 로고
    • On the optimal shape parameters of radial basis functions used for 2-d meshless methods
    • Wang JG, Liu GR (2002) On the optimal shape parameters of radial basis functions used for 2-d meshless methods. Comput Methods Appl Mech Eng 191:2611-2630
    • (2002) Comput Methods Appl Mech Eng , vol.191 , pp. 2611-2630
    • Wang, J.G.1    Liu, G.R.2
  • 44
    • 0242657839 scopus 로고    scopus 로고
    • Comparison between the radial point interpolation and the Kriging based interpolation used in meshfree methods
    • Dai KY, Liu GR, Lim KM, Gu YT (2003) Comparison between the radial point interpolation and the Kriging based interpolation used in meshfree methods. Comput Mech 32:60-70
    • (2003) Comput Mech , vol.32 , pp. 60-70
    • Dai, K.Y.1    Liu, G.R.2    Lim, K.M.3    Gu, Y.T.4
  • 45
    • 33748092395 scopus 로고    scopus 로고
    • A meshfree minimum length method for 2-D problems
    • in press
    • Liu GR, Dai KY, Han X, Li Y (2006) A meshfree minimum length method for 2-D problems. Comput Mech (in press)
    • (2006) Comput Mech
    • Liu, G.R.1    Dai, K.Y.2    Han, X.3    Li, Y.4
  • 48
    • 0035120922 scopus 로고    scopus 로고
    • A stabilized conforming nodal integration for Galerkin mesh-free methods
    • Chen JS, Wu CT, Yoon S, You Y (2001) A stabilized conforming nodal integration for Galerkin mesh-free methods. Int J Num Methods Eng 50:435-466
    • (2001) Int J Num Methods Eng , vol.50 , pp. 435-466
    • Chen, J.S.1    Wu, C.T.2    Yoon, S.3    You, Y.4
  • 49
    • 0037197623 scopus 로고    scopus 로고
    • Non-linear version of stabilized conforming nodal integration for Galerkin mesh-free methods
    • Chen JS, Yoon S, Wu CT (2002) Non-linear version of stabilized conforming nodal integration for Galerkin mesh-free methods. Int J Num Methods Eng 53:2587-2615
    • (2002) Int J Num Methods Eng , vol.53 , pp. 2587-2615
    • Chen, J.S.1    Yoon, S.2    Wu, C.T.3
  • 50
    • 0033116823 scopus 로고    scopus 로고
    • Smoothing, enrichment and contact in the element-free Galerkin method
    • Belytschko T, Fleming M (1999) Smoothing, enrichment and contact in the element-free Galerkin method. Comput Struct 71: 173-195
    • (1999) Comput Struct , vol.71 , pp. 173-195
    • Belytschko, T.1    Fleming, M.2
  • 51
    • 13844297023 scopus 로고    scopus 로고
    • Meshless solutions of 2D contact problems by subdomain variational inequality and MLPG method with radial basis functions
    • Xiao JR, Gamaa B A, Gillespie JW, Kansad EJ (2005) Meshless solutions of 2D contact problems by subdomain variational inequality and MLPG method with radial basis functions. Eng Anal Bound Elem 29:95-106.
    • (2005) Eng Anal Bound Elem , vol.29 , pp. 95-106
    • Xiao, J.R.1    Gamaa, B.A.2    Gillespie, J.W.3    Kansad, E.J.4
  • 53
    • 0030181559 scopus 로고    scopus 로고
    • Some recent results and proposals for the use of radial basis functions in the BEM
    • Golberg MA. Chen CS, Karur SR (1996) Some recent results and proposals for the use of radial basis functions in the BEM. Eng Anal Bound Elem 18:9-17
    • (1996) Eng Anal Bound Elem , vol.18 , pp. 9-17
    • Golberg, M.A.1    Chen, C.S.2    Karur, S.R.3
  • 55
    • 0025206382 scopus 로고
    • Theory and applications of the multiquadricsbiharmonic method (20years of discovery 1968-1988)
    • Hardy RL (1990) Theory and applications of the multiquadricsbiharmonic method (20years of discovery 1968-1988). Comput Mathods Appl 19:163-208
    • (1990) Comput Mathods Appl , vol.19 , pp. 163-208
    • Hardy, R.L.1
  • 56
    • 0037051054 scopus 로고    scopus 로고
    • A simplified approach to enhance the performance of smooth particle hydrodynamics methods
    • Bonet J, Kulasegaram S (2002) A simplified approach to enhance the performance of smooth particle hydrodynamics methods. Appl Mathods Comput 126:133-155
    • (2002) Appl Mathods Comput , vol.126 , pp. 133-155
    • Bonet, J.1    Kulasegaram, S.2
  • 57
    • 0038032121 scopus 로고    scopus 로고
    • Unilateral contact: Mechanical modelling
    • Wriggers P, Panagiotopoulos P eds, Springer, Berlin Heidelberg New York, pp
    • Curnier A (1999) Unilateral contact: mechanical modelling. In: Wriggers P, Panagiotopoulos P (eds) New developments in contact problems. Springer, Berlin Heidelberg New York, pp 1-54
    • (1999) New developments in contact problems , pp. 1-54
    • Curnier, A.1
  • 58
    • 0021293572 scopus 로고
    • A theory of friction
    • Curnier A (1983) A theory of friction. Int J Solids Struct 20: 637-647
    • (1983) Int J Solids Struct , vol.20 , pp. 637-647
    • Curnier, A.1
  • 59
    • 0011928258 scopus 로고
    • Parametric variational principles and their quadratic programming solutions in plasticity
    • Zhong WX, Zhang RL (1988) Parametric variational principles and their quadratic programming solutions in plasticity. Comput Struct 30:887-896
    • (1988) Comput Struct , vol.30 , pp. 887-896
    • Zhong, W.X.1    Zhang, R.L.2
  • 60
    • 0037702903 scopus 로고    scopus 로고
    • A new algorithm for numerical solution of dynamic elastic-plastic hardening and softening problems
    • Zhang HW, Zhang XW, Chen JS (2003) A new algorithm for numerical solution of dynamic elastic-plastic hardening and softening problems. Comput Struct 81:1739-1749
    • (2003) Comput Struct , vol.81 , pp. 1739-1749
    • Zhang, H.W.1    Zhang, X.W.2    Chen, J.S.3


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