메뉴 건너뛰기




Volumn 23, Issue 4, 2007, Pages 798-816

Modeling and numerical analysis of masonry structures

Author keywords

Complementarity problem; Dynamic contact; Friction; Masonry structures; Quasi variational inequality

Indexed keywords


EID: 34547287548     PISSN: 0749159X     EISSN: 10982426     Source Type: Journal    
DOI: 10.1002/num.20253     Document Type: Conference Paper
Times cited : (9)

References (24)
  • 1
    • 22544441498 scopus 로고    scopus 로고
    • A course of lectures on natural philosophy and the mechanical arts
    • 1 T. Young, A course of lectures on natural philosophy and the mechanical arts, Thoemmes Press, New York, 2002.
    • (2002)
    • Young, T.1
  • 2
    • 0035479166 scopus 로고    scopus 로고
    • Analysis of dynamic frictional contact problems using variational inequalities
    • 2 A. Czekanski and S. A. Meguid, Analysis of dynamic frictional contact problems using variational inequalities, Finite Elem Anal Des 37 ( 2001), 861–879.
    • (2001) Finite Elem Anal Des , vol.37 , pp. 861-879
    • Czekanski, A.1    Meguid, S.A.2
  • 3
    • 0037088003 scopus 로고    scopus 로고
    • On a splitting type algorithm for the numerical realization of contact problems with Coulomb friction
    • 3 J. Haslinger, Z. Dostál, and R. Kučera, On a splitting type algorithm for the numerical realization of contact problems with Coulomb friction, Comput Methods Appl Mech Eng 191 ( 2002), 2262–2281.
    • (2002) Comput Methods Appl Mech Eng , vol.191 , pp. 2262-2281
    • Haslinger, J.1    Dostál, Z.2    Kučera, R.3
  • 4
    • 0036502746 scopus 로고    scopus 로고
    • Implementation of the fixed point method in contact problems with Coulomb friction based on a dual splitting type technique
    • 4 Z. Dostál, J. Haslinger, and R. Kučera, Implementation of the fixed point method in contact problems with Coulomb friction based on a dual splitting type technique, J Comp Appl Math 140 ( 2002), 245–256.
    • (2002) J Comp Appl Math , vol.140 , pp. 245-256
    • Dostál, Z.1    Haslinger, J.2    Kučera, R.3
  • 5
    • 25444494721 scopus 로고    scopus 로고
    • Generalized Newton methods for the 2D‐Signorini contact problem with friction in function space
    • 5 K. Kunisch and G. Stadler, Generalized Newton methods for the 2D‐Signorini contact problem with friction in function space, Math Model Numer Anal 39 ( 2005), 827–854.
    • (2005) Math Model Numer Anal , vol.39 , pp. 827-854
    • Kunisch, K.1    Stadler, G.2
  • 6
    • 0004027295 scopus 로고    scopus 로고
    • Computational strategies for masonry structures
    • 6 P. B. Lourenço, Computational strategies for masonry structures, PhD Thesis, Delft University Press, Delft University of Technology, The Netherlands, 1996.
    • (1996)
    • Lourenço, P.B.1
  • 7
    • 0033350054 scopus 로고    scopus 로고
    • The non‐smooth contact dynamics method. Computational modeling of contact and friction
    • 7 M. Jean, The non‐smooth contact dynamics method. Computational modeling of contact and friction, Comput Methods Appl Mech Eng 177 ( 1999), 235–257.
    • (1999) Comput Methods Appl Mech Eng , vol.177 , pp. 235-257
    • Jean, M.1
  • 8
    • 0027683939 scopus 로고
    • A continuum‐based finite element formulation for the implicit solution of multibody, large deformation frictional contact problems
    • 8 T. A. Laursen and J. C. Simo, A continuum‐based finite element formulation for the implicit solution of multibody, large deformation frictional contact problems, Int J Numer Methods Eng 36 ( 1993), 3451–3485.
    • (1993) Int J Numer Methods Eng , vol.36 , pp. 3451-3485
    • Laursen, T.A.1    Simo, J.C.2
  • 9
    • 0002226904 scopus 로고
    • Some numerical methods in multibody dynamics: application to granular materials
    • 9 J. J. Moreau, Some numerical methods in multibody dynamics: application to granular materials, Eur J Mech A Solids 13 ( suppl 4) ( 1994), 93–114.
    • (1994) Eur J Mech A Solids , vol.13 , Issue.suppl 4 , pp. 93-114
    • Moreau, J.J.1
  • 10
    • 0032123992 scopus 로고    scopus 로고
    • Energy consistent algorithms for frictional contact problem
    • 10 V. Chawla and T. A. Laursen, Energy consistent algorithms for frictional contact problem, Int J Numer Methods Eng 42 ( 1998), 799–827.
    • (1998) Int J Numer Methods Eng , vol.42 , pp. 799-827
    • Chawla, V.1    Laursen, T.A.2
  • 11
    • 0031103230 scopus 로고    scopus 로고
    • Design of energy conserving algorithms for frictionless dynamic contact problems
    • 11 T. A. Laursen and V. Chawla, Design of energy conserving algorithms for frictionless dynamic contact problems, Int J Numer Methods Eng 40 ( 1997), 863–886.
    • (1997) Int J Numer Methods Eng , vol.40 , pp. 863-886
    • Laursen, T.A.1    Chawla, V.2
  • 12
    • 0037119514 scopus 로고    scopus 로고
    • Dynamic contact/impact problems, energy conservation, and planetary gear trains
    • 12 A. Bajer and L. Demkowicz, Dynamic contact/impact problems, energy conservation, and planetary gear trains, Comput Methods Appl Mech Eng 191 ( 2002), 4159–4191.
    • (2002) Comput Methods Appl Mech Eng , vol.191 , pp. 4159-4191
    • Bajer, A.1    Demkowicz, L.2
  • 13
    • 0004072908 scopus 로고
    • Inequalities in mechanics and physics
    • 13 G. Duvaut and J. T. Lions, Inequalities in mechanics and physics, Springer‐Verlag, Berlin, 1976.
    • (1976)
    • Duvaut, G.1    Lions, J.T.2
  • 14
    • 0003725569 scopus 로고
    • Numerical analysis of variational inequalities
    • 14 R. Glowinski, J. L. Lions, and R. Trémolières, Numerical analysis of variational inequalities, North‐Holland, Amsterdam, 1981.
    • (1981)
    • Glowinski, R.1    Lions, J.L.2    Trémolières, R.3
  • 15
    • 0003483209 scopus 로고
    • Solution of variational inequalities in mechanics
    • 15 I. Hlaváček, J. Haslinger, J. Nečas, and J. Loviček, Solution of variational inequalities in mechanics, Springer‐Verlag, Berlin, 1988.
    • (1988)
    • Hlaváček, I.1    Haslinger, J.2    Nečas, J.3    Loviček, J.4
  • 16
    • 0003537966 scopus 로고
    • Contact problems in elasticity: a study of variational inequalities and finite element methods
    • 16 N. Kikuchi and J. T. Oden, Contact problems in elasticity: a study of variational inequalities and finite element methods, SIAM, Philadelphia, 1988.
    • (1988)
    • Kikuchi, N.1    Oden, J.T.2
  • 17
    • 0000328269 scopus 로고
    • On the solution of the variational inequality to the Signorini problem with small friction
    • 17 J. Nečas, J. Jarušek, and J. Haslinger, On the solution of the variational inequality to the Signorini problem with small friction, Boll Un Mat Ital B 5 ( 1980), 796–811.
    • (1980) Boll Un Mat Ital B , vol.5 , pp. 796-811
    • Nečas, J.1    Jarušek, J.2    Haslinger, J.3
  • 18
    • 85026045554 scopus 로고    scopus 로고
    • Unilateral contact problems—variational methods and existence theorems
    • 18 C. Eck, J. Jarušek, and M. Krbec, Unilateral contact problems—variational methods and existence theorems, Chapman and Hall, Boca Raton, London, 2005.
    • (2005)
    • Eck, C.1    Jarušek, J.2    Krbec, M.3
  • 19
    • 0003957050 scopus 로고
    • The mathematical theory of finite element methods
    • 19 S. C. Brenner and L. R. Scott, The mathematical theory of finite element methods, Springer‐Verlag, New York, 1994.
    • (1994)
    • Brenner, S.C.1    Scott, L.R.2
  • 20
    • 32444438154 scopus 로고    scopus 로고
    • Novel nonlinear finite elemet analysis of dynamic contact problems using variational inequalities
    • 20 A. Czekanski, Novel nonlinear finite elemet analysis of dynamic contact problems using variational inequalities, PhD Thesis, Department of Mechanical and Industrial Engineering, University of Toronto, Canada, 2001.
    • (2001)
    • Czekanski, A.1
  • 21
    • 25444491708 scopus 로고    scopus 로고
    • Infinite‐dimensional semi‐smooth Newton and augmented lagrangian methods for friction and contact problems in elasticity
    • 21 G. Stadler, Infinite‐dimensional semi‐smooth Newton and augmented lagrangian methods for friction and contact problems in elasticity, PhD Thesis, Institute for Mathematics, Karl Franzens University Graz, Austria, 2004.
    • (2004)
    • Stadler, G.1
  • 22
    • 0041657515 scopus 로고    scopus 로고
    • The primal‐dual active set strategy as a semismooth Newton method
    • 22 M. Hintermüller, K. Ito, and K. Kunisch, The primal‐dual active set strategy as a semismooth Newton method, SIAM J Optim 13 ( 2003), 865–888.
    • (2003) SIAM J Optim , vol.13 , pp. 865-888
    • Hintermüller, M.1    Ito, K.2    Kunisch, K.3
  • 23
    • 1642578153 scopus 로고    scopus 로고
    • The primal‐dual active set method for a crack problem with non‐penetration
    • 23 M. Hintermüller, V. A. Kovtunenko, and K. Kunisch, The primal‐dual active set method for a crack problem with non‐penetration, IMA J Appl Math 69 ( 2004), 1–26.
    • (2004) IMA J Appl Math , vol.69 , pp. 1-26
    • Hintermüller, M.1    Kovtunenko, V.A.2    Kunisch, K.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.