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Volumn 194, Issue 27-29, 2005, Pages 2947-2968

An analysis of some mixed-enhanced finite element for plane linear elasticity

Author keywords

Displacement pressure formulation; Enhanced strain technique; Error analysis; Finite element methods; Nearly incompressible elasticity; Nonconforming methods

Indexed keywords

COMPUTATIONAL METHODS; CONVERGENCE OF NUMERICAL METHODS; ERROR ANALYSIS; FINITE ELEMENT METHOD; PROBLEM SOLVING;

EID: 18144400946     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2004.07.028     Document Type: Article
Times cited : (51)

References (22)
  • 1
    • 0034165936 scopus 로고    scopus 로고
    • On the locking and stability of finite elements in finite deformation plane strain problems
    • F. Armero On the locking and stability of finite elements in finite deformation plane strain problems Comput. Struct. 75 2000 261-290
    • (2000) Comput. Struct. , vol.75 , pp. 261-290
    • Armero, F.1
  • 3
    • 0032476389 scopus 로고    scopus 로고
    • Enhanced assumed strain elements and locking in membrane problems
    • D. Braess Enhanced assumed strain elements and locking in membrane problems Comput. Methods Appl. Mech. Engrg. 165 1998 155-174
    • (1998) Comput. Methods Appl. Mech. Engrg. , vol.165 , pp. 155-174
    • Braess, D.1
  • 4
    • 0012699997 scopus 로고    scopus 로고
    • Uniform convergence and a posteriori estimators for the enhanced strain finite element method
    • in press
    • D. Braess, C. Carstensen, B.D. Reddy, Uniform convergence and a posteriori estimators for the enhanced strain finite element method, in press
    • Braess, D.1    Carstensen, C.2    Reddy, B.D.3
  • 6
    • 84968487611 scopus 로고
    • Linear finite element methods for planar linear elasticity
    • S.C. Brenner L.-Y. Sung Linear finite element methods for planar linear elasticity Math. Comp. 59 1992 321-338
    • (1992) Math. Comp. , vol.59 , pp. 321-338
    • Brenner, S.C.1    Sung, L.-Y.2
  • 8
    • 0016541865 scopus 로고
    • Approximation by finite element functions using local regularization
    • P. Clément Approximation by finite element functions using local regularization RAIRO Anal. Numer. 9 1975 77-84
    • (1975) RAIRO Anal. Numer. , vol.9 , pp. 77-84
    • Clément, P.1
  • 10
    • 0012663326 scopus 로고    scopus 로고
    • Analysis of strain-pressure finite element methods for the Stokes problem
    • C. Lovadina Analysis of strain-pressure finite element methods for the Stokes problem Numer. Methods PDE's 13 1997 717-730
    • (1997) Numer. Methods PDE's , vol.13 , pp. 717-730
    • Lovadina, C.1
  • 11
    • 0037401537 scopus 로고    scopus 로고
    • On the enhanced strain technique for elasticity problems
    • C. Lovadina F. Auricchio On the enhanced strain technique for elasticity problems Comput. Struct. 18 2003 777-787
    • (2003) Comput. Struct. , vol.18 , pp. 777-787
    • Lovadina, C.1    Auricchio, F.2
  • 12
    • 0030215975 scopus 로고    scopus 로고
    • Using assumed enhanced strain elements for large compressive deformation
    • J.C. Nagtegaal D.D. Fox Using assumed enhanced strain elements for large compressive deformation Int. J. Solids Struct. 33 1996 3151-3159
    • (1996) Int. J. Solids Struct. , vol.33 , pp. 3151-3159
    • Nagtegaal, J.C.1    Fox, D.D.2
  • 13
    • 0001698995 scopus 로고
    • A four-node quadrilateral mixed-interpolated element for solids and fluids
    • D. Pantuso K.J. Bathe A four-node quadrilateral mixed-interpolated element for solids and fluids Math. Models Meth. Appl. Sci. 5 1995 1113-1128
    • (1995) Math. Models Meth. Appl. Sci. , vol.5 , pp. 1113-1128
    • Pantuso, D.1    Bathe, K.J.2
  • 14
    • 0031336428 scopus 로고    scopus 로고
    • On the stability of mixed finite elements in large strain analysis of incompressible solids
    • D. Pantuso K.J. Bathe On the stability of mixed finite elements in large strain analysis of incompressible solids Finite Elem. Anal. Des. 28 1997 83-104
    • (1997) Finite Elem. Anal. Des. , vol.28 , pp. 83-104
    • Pantuso, D.1    Bathe, K.J.2
  • 15
    • 0033908973 scopus 로고    scopus 로고
    • Triangular finite elements with rotational degrees of freedom and enhanced strain modes
    • R. Piltner R.L. Taylor Triangular finite elements with rotational degrees of freedom and enhanced strain modes Comput. Struct. 75 2000 361-368
    • (2000) Comput. Struct. , vol.75 , pp. 361-368
    • Piltner, R.1    Taylor, R.L.2
  • 16
    • 84965043335 scopus 로고
    • Stability and convergence of a class of enhanced strain methods
    • B.D. Reddy J.C. Simo Stability and convergence of a class of enhanced strain methods SIAM J. Numer. Anal. 32 6 1995 1705-1728
    • (1995) SIAM J. Numer. Anal. , vol.32 , Issue.6 , pp. 1705-1728
    • Reddy, B.D.1    Simo, J.C.2
  • 17
    • 0033115377 scopus 로고    scopus 로고
    • A new stabilization technique for finite elements in non-linear elasticity
    • S. Reese M. Küssner B.D. Reddy A new stabilization technique for finite elements in non-linear elasticity Int. J. Numer. Meth. Engrg. 44 1999 1617-1652
    • (1999) Int. J. Numer. Meth. Engrg. , vol.44 , pp. 1617-1652
    • Reese, S.1    Küssner, M.2    Reddy, B.D.3
  • 18
    • 0034187903 scopus 로고    scopus 로고
    • A stabilization technique to avoid hourglassing in finite elasticity
    • S. Reese P. Wriggers A stabilization technique to avoid hourglassing in finite elasticity Int. J. Numer. Meth. Engrg. 48 2000 79-109
    • (2000) Int. J. Numer. Meth. Engrg. , vol.48 , pp. 79-109
    • Reese, S.1    Wriggers, P.2
  • 19
    • 0026867998 scopus 로고
    • Geometrically nonlinear enhanced strain mixed methods and the method of incompatible modes
    • J.C. Simo F. Armero Geometrically nonlinear enhanced strain mixed methods and the method of incompatible modes Int. J. Numer. Meth. Engrg. 33 1992 1413-1449
    • (1992) Int. J. Numer. Meth. Engrg. , vol.33 , pp. 1413-1449
    • Simo, J.C.1    Armero, F.2
  • 20
    • 0025449315 scopus 로고
    • A class of mixed assumed strain methods and the method of incompatible modes
    • J.C. Simo M.S. Rifai A class of mixed assumed strain methods and the method of incompatible modes Int. J. Numer. Meth. Engrg. 29 1990 1595-1638
    • (1990) Int. J. Numer. Meth. Engrg. , vol.29 , pp. 1595-1638
    • Simo, J.C.1    Rifai, M.S.2
  • 21
    • 34250154462 scopus 로고
    • An analysis of the p-version of the finite element method for nearly incompressible materials. Uniformly valid, optimal error estimates
    • M. Vogelius An analysis of the p-version of the finite element method for nearly incompressible materials. Uniformly valid, optimal error estimates Numer. Math. 41 1983 39-53
    • (1983) Numer. Math. , vol.41 , pp. 39-53
    • Vogelius, M.1
  • 22
    • 0030243101 scopus 로고    scopus 로고
    • A note on enhanced strain methods for large deformations
    • P. Wriggers S. Reese A note on enhanced strain methods for large deformations Comput. Methods Appl. Mech. Engrg. 135 1996 201-209
    • (1996) Comput. Methods Appl. Mech. Engrg. , vol.135 , pp. 201-209
    • Wriggers, P.1    Reese, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.