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Volumn 194, Issue 25-26, 2005, Pages 2734-2780

An analysis of dual formulations for the finite element solution of two-body contact problems

Author keywords

Babu ka Brezzi condition; Convergence; Dual formulation; Finite element method; Node on surface; Two body contact

Indexed keywords

FINITE ELEMENT METHOD; FORCE MEASUREMENT; FRICTION; INTERPOLATION; KINEMATICS; PRESSURE MEASUREMENT; SURFACES;

EID: 17544364959     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2004.06.045     Document Type: Article
Times cited : (21)

References (26)
  • 2
    • 0032143149 scopus 로고    scopus 로고
    • A Lagrange multiplier method for the finite element solution of frictionless contact problems
    • P. Papadopoulos J.M. Solberg A Lagrange multiplier method for the finite element solution of frictionless contact problems Math. Comput. Model. 28 1998 373-384
    • (1998) Math. Comput. Model. , vol.28 , pp. 373-384
    • Papadopoulos, P.1    Solberg, J.M.2
  • 3
    • 17544380895 scopus 로고
    • Exterior penalty methods for contact problems in elasticity
    • E. Stein K.-J. Bathe W. Wunderlich (Eds.) Springer-Verlag Berlin
    • J.T. Oden Exterior penalty methods for contact problems in elasticity in: E. Stein K.-J. Bathe W. Wunderlich (Eds.) Europe - US Workshop: Nonlinear Finite Element Analysis in Structural Mechanics 1980 Springer-Verlag Berlin
    • (1980) Europe - US Workshop: Nonlinear Finite Element Analysis in Structural Mechanics
    • Oden, J.T.1
  • 4
    • 0003682739 scopus 로고
    • Discrete LBB-conditions for RIP-finite element methods
    • TICOM Rep. 80-7 The University of Texas at Austin
    • Y.J. Song, J.T. Oden, N. Kikuchi, Discrete LBB-conditions for RIP-finite element methods, TICOM Rep. 80-7, The University of Texas at Austin, 1980
    • (1980)
    • Song, Y.J.1    Oden, J.T.2    Kikuchi, N.3
  • 5
    • 0019551140 scopus 로고
    • Penalty/finite element approximations of a class of unilateral problems in linear elasticity
    • N. Kikuchi Y.J. Song Penalty/finite element approximations of a class of unilateral problems in linear elasticity Quart. Appl. Math. 39 1981 1-22
    • (1981) Quart. Appl. Math. , vol.39 , pp. 1-22
    • Kikuchi, N.1    Song, Y.J.2
  • 6
    • 0020098584 scopus 로고
    • A smoothing technique for reduced integration penalty methods in contact problems
    • N. Kikuchi A smoothing technique for reduced integration penalty methods in contact problems Int. J. Numer. Methods. Engrg. 18 1982 343-350
    • (1982) Int. J. Numer. Methods. Engrg. , vol.18 , pp. 343-350
    • Kikuchi, N.1
  • 8
    • 34250459417 scopus 로고
    • The finite element method with Lagrangian multipliers
    • I. Babuška The finite element method with Lagrangian multipliers Numer. Math. 20 1973 179-192
    • (1973) Numer. Math. , vol.20 , pp. 179-192
    • Babuška, I.1
  • 9
    • 0016093926 scopus 로고
    • On the existence, uniqueness and approximation of the saddle-point problem arising from the Lagrangian multipliers, Revue Française d' Automatique
    • R-2
    • F. Brezzi On the existence, uniqueness and approximation of the saddle-point problem arising from the Lagrangian multipliers, Revue Française d' Automatique Informat. Rech. Operation. R-2 1974 129-151
    • (1974) Informat. Rech. Operation. , pp. 129-151
    • Brezzi, F.1
  • 10
    • 0001700852 scopus 로고
    • The classical field theories
    • S. Flügge (Ed.) Springer-Verlag Berlin
    • C. Truesdell R.A. Toupin The classical field theories in: S. Flügge (Ed.) Handbuch der Physik III/1 1960 Springer-Verlag Berlin 226-793
    • (1960) Handbuch Der Physik III/1 , pp. 226-793
    • Truesdell, C.1    Toupin, R.A.2
  • 11
    • 0022107764 scopus 로고
    • A perturbed Lagrangian formulation for the finite element solution of contact problems
    • J.C. Simo P. Wriggers R.L. Taylor A perturbed Lagrangian formulation for the finite element solution of contact problems Comput. Methods Appl. Mech. Engrg. 50 1985 163-180
    • (1985) Comput. Methods Appl. Mech. Engrg. , vol.50 , pp. 163-180
    • Simo, J.C.1    Wriggers, P.2    Taylor, R.L.3
  • 12
    • 0034234562 scopus 로고    scopus 로고
    • A yield-limited Lagrange multiplier formulation for frictional contact
    • R.E. Jones P. Papadopoulos A yield-limited Lagrange multiplier formulation for frictional contact Int. J. Numer. Methods. Engrg. 48 2000 1127-1149
    • (2000) Int. J. Numer. Methods. Engrg. , vol.48 , pp. 1127-1149
    • Jones, R.E.1    Papadopoulos, P.2
  • 15
  • 17
    • 0025495043 scopus 로고
    • A discourse on the stability conditions for mixed finite element formulations
    • F. Brezzi K.-J. Bathe A discourse on the stability conditions for mixed finite element formulations Comput. Methods Appl. Mech. Engrg. 82 1990 27-57
    • (1990) Comput. Methods Appl. Mech. Engrg. , vol.82 , pp. 27-57
    • Brezzi, F.1    Bathe, K.-J.2
  • 21
    • 0000003984 scopus 로고
    • Error estimates for the approximation of a class of variational inequalities
    • R.S. Falk Error estimates for the approximation of a class of variational inequalities Math. Comp. 28 1974 863-971
    • (1974) Math. Comp. , vol.28 , pp. 863-971
    • Falk, R.S.1
  • 22
    • 0000159384 scopus 로고
    • A patch test for contact problems in two dimensions
    • P. Wriggers W. Wagner (Eds.) Springer Berlin
    • R.L. Taylor P. Papadopoulos A patch test for contact problems in two dimensions in: P. Wriggers W. Wagner (Eds.) Nonlinear Computational Mechanics 1991 Springer Berlin 690-702
    • (1991) Nonlinear Computational Mechanics , pp. 690-702
    • Taylor, R.L.1    Papadopoulos, P.2
  • 24
    • 0039387423 scopus 로고
    • Generalized Sobolev spaces and their application to boundary problems for partial differential equations
    • AMS New York
    • L.N. Slobodeckiǐ Generalized Sobolev spaces and their application to boundary problems for partial differential equations American Mathematical Society Translations vol. 57/2 1966 AMS New York 207-275
    • (1966) American Mathematical Society Translations , vol.57 , Issue.2 , pp. 207-275
    • Slobodeckiǐ, L.N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.