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Volumn 25, Issue 2, 2000, Pages 137-156

Some recent improvements in meshfree methods for incompressible finite elasticity boundary value problems with contact

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; CONSTRAINT THEORY; CONVERGENCE OF NUMERICAL METHODS; LINEAR EQUATIONS; MATHEMATICAL TRANSFORMATIONS; NONLINEAR EQUATIONS;

EID: 0033903852     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s004660050465     Document Type: Article
Times cited : (40)

References (46)
  • 1
    • 0040458757 scopus 로고
    • On the formulation of variational theorems involving volume constraints
    • Atluri SN, Reissner E (1989) On the formulation of variational theorems involving volume constraints. Comput. Mech. 5:337-344
    • (1989) Comput. Mech. , vol.5 , pp. 337-344
    • Atluri, S.N.1    Reissner, E.2
  • 2
    • 0032136132 scopus 로고    scopus 로고
    • A new meshless local Petrov-Galerkin (MLPG) approach
    • Atluri SN, Zhu T (1998a) A new meshless local Petrov-Galerkin (MLPG) approach. Comput. Mech. 22:117-127
    • (1998) Comput. Mech. , vol.22 , pp. 117-127
    • Atluri, S.N.1    Zhu, T.2
  • 3
    • 0001022815 scopus 로고    scopus 로고
    • A new meshless local Petrov-Galerkin (MLPG) approach to nonlinear problems
    • Atluri SN, Zhu T (1998b) A new meshless local Petrov-Galerkin (MLPG) approach to nonlinear problems. Comp. Modeling and Simulation in Eng. 3:187-196
    • (1998) Comp. Modeling and Simulation in Eng. , vol.3 , pp. 187-196
    • Atluri, S.N.1    Zhu, T.2
  • 4
    • 34250459417 scopus 로고
    • The finite element method with Lagrangian multipliers
    • Babuska I (1973) The finite element method with Lagrangian multipliers. Num. Math. 20:179-192
    • (1973) Num. Math. , vol.20 , pp. 179-192
    • Babuska, I.1
  • 5
  • 7
    • 0022673737 scopus 로고
    • Efficient implementation of quadrilaterals with high coarse-mesh accuracy
    • Belytschko T, Bachrach WE (1986) Efficient implementation of quadrilaterals with high coarse-mesh accuracy. Comput. Meth. Appl. Mech. Eng. 54:279-301
    • (1986) Comput. Meth. Appl. Mech. Eng. , vol.54 , pp. 279-301
    • Belytschko, T.1    Bachrach, W.E.2
  • 9
    • 0030107160 scopus 로고    scopus 로고
    • Dynamic fracture using element-free Galerkin methods
    • Belytschko T, Tabarra M (1996a) Dynamic fracture using element-free Galerkin methods. Int. J. Num. Meth. Eng. 39:923-938
    • (1996) Int. J. Num. Meth. Eng. , vol.39 , pp. 923-938
    • Belytschko, T.1    Tabarra, M.2
  • 11
    • 0016093926 scopus 로고
    • On the existence, uniqueness and approximation of saddle-point problems arising from Lagrangian multipliers
    • Brezzi F (1974) On the existence, uniqueness and approximation of saddle-point problems arising from Lagrangian multipliers. R.A.I.R.O. Num. Anal. 8:129-151
    • (1974) R.A.I.R.O. Num. Anal. , vol.8 , pp. 129-151
    • Brezzi, F.1
  • 12
    • 0006811869 scopus 로고
    • Large strain analysis of rubber-like materials based on a perturbed Lagrangian variational principle
    • Chang TYP, Saleeb AF, Li G (1991) Large strain analysis of rubber-like materials based on a perturbed Lagrangian variational principle. Comput. Mech. 8:221-233
    • (1991) Comput. Mech. , vol.8 , pp. 221-233
    • Chang, T.Y.P.1    Saleeb, A.F.2    Li, G.3
  • 13
    • 33746037581 scopus 로고    scopus 로고
    • A pressure projection method for nearly incompressible rubber hyperelasticity, Part I: Theory, Part II: Applications
    • Chen JS, Pan C, Wu CT (1996a) A pressure projection method for nearly incompressible rubber hyperelasticity, Part I: Theory, Part II: Applications. J. Appl. Mech. 63:862-876
    • (1996) J. Appl. Mech. , vol.63 , pp. 862-876
    • Chen, J.S.1    Pan, C.2    Wu, C.T.3
  • 14
    • 0030413958 scopus 로고    scopus 로고
    • Reproducing kernel particle methods for large deformation analysis of nonlinear structures
    • Chen JS, Pan C, Wu CT, Liu WK (1996b) Reproducing kernel particle methods for large deformation analysis of nonlinear structures. Comp. Meth. Appl. Mech. Eng. 139:195-227
    • (1996) Comp. Meth. Appl. Mech. Eng. , vol.139 , pp. 195-227
    • Chen, J.S.1    Pan, C.2    Wu, C.T.3    Liu, W.K.4
  • 15
    • 0031098384 scopus 로고    scopus 로고
    • On the perturbed Lagrangian formulation for nearly incompressible and incompressible hyperelasticity
    • Chen JS, Han W, Wu CT, Duan W (1997a) On the perturbed Lagrangian formulation for nearly incompressible and incompressible hyperelasticity. Comp. Meth. Appl. Mech. Eng. 142:335-351
    • (1997) Comp. Meth. Appl. Mech. Eng. , vol.142 , pp. 335-351
    • Chen, J.S.1    Han, W.2    Wu, C.T.3    Duan, W.4
  • 16
    • 0031074562 scopus 로고    scopus 로고
    • Large deformation analysis of rubber based on a reproducing kernel particle method
    • Chen JS, Pan C, Wu CT (1997b) Large deformation analysis of rubber based on a reproducing kernel particle method. Comput. Mech. 19:211-227
    • (1997) Comput. Mech. , vol.19 , pp. 211-227
    • Chen, J.S.1    Pan, C.2    Wu, C.T.3
  • 17
    • 0032166081 scopus 로고    scopus 로고
    • A Lagrangian reproducing kernel particle method for metal forming analysis
    • Chen JS, Pan C, Roque CMOL, Wang HP (1998) A Lagrangian reproducing kernel particle method for metal forming analysis. Comput. Mech. 22:289-307
    • (1998) Comput. Mech. , vol.22 , pp. 289-307
    • Chen, J.S.1    Pan, C.2    Roque, C.M.O.L.3    Wang, H.P.4
  • 18
    • 0033640070 scopus 로고    scopus 로고
    • An improved reproducing kernel particle method for nearly incompressible finite elasticity solids
    • Chen JS, Yoon S, Wang HP, Liu WK (1999a) An improved reproducing kernel particle method for nearly incompressible finite elasticity solids (in press). Comp. Meth. Appl. Mech. Eng.
    • (1999) Comp. Meth. Appl. Mech. Eng.
    • Chen, J.S.1    Yoon, S.2    Wang, H.P.3    Liu, W.K.4
  • 19
    • 0342608554 scopus 로고    scopus 로고
    • New boundary condition treatments for meshless computation of contact problems
    • Chen JS, Wang HP (1999b) New boundary condition treatments for meshless computation of contact problems (in press). Comp. Meth. Appl. Mech. Eng.
    • (1999) Comp. Meth. Appl. Mech. Eng.
    • Chen, J.S.1    Wang, H.P.2
  • 23
    • 0019566120 scopus 로고
    • A uniform strain hexahedron and quadrilateral with orthogonal hourglass control
    • Flanagan DP, Belytschko T (1981) A uniform strain hexahedron and quadrilateral with orthogonal hourglass control. Int. J. Num. Meth. Eng. 17:679-706
    • (1981) Int. J. Num. Meth. Eng. , vol.17 , pp. 679-706
    • Flanagan, D.P.1    Belytschko, T.2
  • 24
    • 0032154328 scopus 로고    scopus 로고
    • Implementation of boundary conditions for mmeshless methods
    • submitted
    • Gunther F, Liu WK (1998) Implementation of boundary conditions for mmeshless methods. Comp. Meth. Appl. Mech. Eng., submitted
    • (1998) Comp. Meth. Appl. Mech. Eng.
    • Gunther, F.1    Liu, W.K.2
  • 25
    • 0019057349 scopus 로고
    • Generalization of selective integration procedures to anisotropic and nonlinear media
    • Hughes TJR (1980) Generalization of selective integration procedures to anisotropic and nonlinear media. Int. J. Num. Meth. Eng. 15:1413-1418
    • (1980) Int. J. Num. Meth. Eng. , vol.15 , pp. 1413-1418
    • Hughes, T.J.R.1
  • 27
    • 0031208524 scopus 로고    scopus 로고
    • An improved element free Galerkin formulation
    • Kaljevic I, Saigal S (1997) An improved element free Galerkin formulation. accepted, Int. J. Num. Meth. Eng. 40:2953-2974
    • (1997) Int. J. Num. Meth. Eng. , vol.40 , pp. 2953-2974
    • Kaljevic, I.1    Saigal, S.2
  • 28
    • 0030120864 scopus 로고    scopus 로고
    • Enforcement of essential boundary conditions in meshless approximations using finite elements
    • Krongauz Y, Belytschko T (1996) Enforcement of essential boundary conditions in meshless approximations using finite elements. Comp. Meth. Appl. Mech. Eng. 131:133-145
    • (1996) Comp. Meth. Appl. Mech. Eng. , vol.131 , pp. 133-145
    • Krongauz, Y.1    Belytschko, T.2
  • 29
    • 84966237423 scopus 로고
    • Surfaces generated by moving least squares methods
    • Lancaster P, Salkauskas K (1981) Surfaces generated by moving least squares methods. Math. Comput. 37:141-158
    • (1981) Math. Comput. , vol.37 , pp. 141-158
    • Lancaster, P.1    Salkauskas, K.2
  • 30
    • 0031998215 scopus 로고    scopus 로고
    • Synchronized reproducing kernel interpolant via multiple wavelet expansion
    • Li S, Liu WK (1998) Synchronized reproducing kernel interpolant via multiple wavelet expansion. Comput. Mech. 21:28-47
    • (1998) Comput. Mech. , vol.21 , pp. 28-47
    • Li, S.1    Liu, W.K.2
  • 31
    • 0032678421 scopus 로고    scopus 로고
    • Reproducing kernel hierarchical partition of unity. Part I: Formulation and theory, Part II: Applications
    • Li S, Liu WK (1999) Reproducing kernel hierarchical partition of unity. Part I: Formulation and theory, Part II: Applications. Int. J. Num. Meth. Eng. 45:251-317
    • (1999) Int. J. Num. Meth. Eng. , vol.45 , pp. 251-317
    • Li, S.1    Liu, W.K.2
  • 32
  • 35
    • 0030170555 scopus 로고    scopus 로고
    • Advances in multiple scale kernel particle methods
    • Liu WK, Chen Y, Chang CT, Belytschko T (1996a) Advances in multiple scale kernel particle methods. Comput. Mech. 18(2):31-111
    • (1996) Comput. Mech. , vol.18 , Issue.2 , pp. 31-111
    • Liu, W.K.1    Chen, Y.2    Chang, C.T.3    Belytschko, T.4
  • 38
    • 0028400170 scopus 로고
    • A new implementation of the element free Galerkin method
    • Lu YY, Belytschko T, Gu L (1994) A new implementation of the element free Galerkin method. Comp. Meth. Appl. Mech. Eng. 113:397-414
    • (1994) Comp. Meth. Appl. Mech. Eng. , vol.113 , pp. 397-414
    • Lu, Y.Y.1    Belytschko, T.2    Gu, L.3
  • 39
    • 0017984529 scopus 로고
    • Mixed finite element methods-reduced and selective integration techniques: A unification of concepts
    • Malkas DS, Hughes TJR (1978) Mixed finite element methods-reduced and selective integration techniques: A unification of concepts. Comp. Meth. Appl. Mech. Eng. 15:63-81
    • (1978) Comp. Meth. Appl. Mech. Eng. , vol.15 , pp. 63-81
    • Malkas, D.S.1    Hughes, T.J.R.2
  • 40
    • 0030380578 scopus 로고    scopus 로고
    • The partition of unity finite element method: Basic theory and applications
    • Melenk JM, Babuska I (1996) The partition of unity finite element method: Basic theory and applications. Comp. Meth. Appl. Mech. Eng. 139:289-314
    • (1996) Comp. Meth. Appl. Mech. Eng. , vol.139 , pp. 289-314
    • Melenk, J.M.1    Babuska, I.2
  • 41
    • 84991028773 scopus 로고
    • Elasticity equations for incompressible and nearly incompressible materials by a variational theorem
    • Herrmann LR (1965) Elasticity equations for incompressible and nearly incompressible materials by a variational theorem. AIAA J. 3:1896-1900
    • (1965) AIAA J. , vol.3 , pp. 1896-1900
    • Herrmann, L.R.1
  • 42
    • 46549096707 scopus 로고
    • Variational and projection methods for volume constraint in finite deformation elastoplasticity
    • Simo JC, Taylor RL, Pister KS (1985) Variational and projection methods for volume constraint in finite deformation elastoplasticity. Comp. Meth. Appl. Mech. Eng. 51:177-208
    • (1985) Comp. Meth. Appl. Mech. Eng. , vol.51 , pp. 177-208
    • Simo, J.C.1    Taylor, R.L.2    Pister, K.S.3
  • 43
    • 0017921641 scopus 로고
    • Finite element analysis of rubber-like materials by a mixed model
    • Scharnhorst T, Pian THH (1978) Finite element analysis of rubber-like materials by a mixed model. Int. J. Num. Meth. Eng. 12:665-676
    • (1978) Int. J. Num. Meth. Eng. , vol.12 , pp. 665-676
    • Scharnhorst, T.1    Pian, T.H.H.2
  • 44
    • 0023170746 scopus 로고
    • A finite element formulation for incompressible elastic and inelastic analysis
    • Sussman TS, Bathe KJ (1987) A finite element formulation for incompressible elastic and inelastic analysis. Comput. Struct. 26:357-409
    • (1987) Comput. Struct. , vol.26 , pp. 357-409
    • Sussman, T.S.1    Bathe, K.J.2
  • 46
    • 0032048673 scopus 로고    scopus 로고
    • A modified collocation method and a penalty formulation for enforcing the essential boundary conditions in the element free Galerkin method
    • Zhu T, Atluri SN (1998) A modified collocation method and a penalty formulation for enforcing the essential boundary conditions in the element free Galerkin method. Comput. Mech. 21:211-222
    • (1998) Comput. Mech. , vol.21 , pp. 211-222
    • Zhu, T.1    Atluri, S.N.2


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