메뉴 건너뛰기




Volumn 39, Issue 6, 2007, Pages 879-888

Bounds to shakedown loads for a class of deviatoric plasticity models

Author keywords

Analytical solution; Finite elements; Lower bound; Shakedown; Upper bound

Indexed keywords

BOUNDARY CONDITIONS; MATHEMATICAL MODELS; PLASTICITY; PROBLEM SOLVING; THEOREM PROVING;

EID: 33847327018     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00466-006-0076-3     Document Type: Article
Times cited : (42)

References (37)
  • 1
    • 0015403376 scopus 로고
    • Plane stress shakedown analysis by finite elements
    • Belytschko T (1972) Plane stress shakedown analysis by finite elements. Int J Mech Sci 14:619-625
    • (1972) Int J Mech Sci , vol.14 , pp. 619-625
    • Belytschko, T.1
  • 3
    • 23444447623 scopus 로고    scopus 로고
    • Extension of the linear matching method to geotechnical problems
    • Boulbibane M, Ponter ARS (2005) Extension of the linear matching method to geotechnical problems. Comput Meth Appl Mech Eng 194:4633-4650
    • (2005) Comput Meth Appl Mech Eng , vol.194 , pp. 4633-4650
    • Boulbibane, M.1    Ponter, A.R.S.2
  • 4
    • 0000179358 scopus 로고    scopus 로고
    • Shakedown analysis of defective pressure vessels by a kinematic approachs
    • Carvelli V, Cen ZZ, Liu Y, Maier G (1999) Shakedown analysis of defective pressure vessels by a kinematic approachs. Ach Appl Mech 69:751-764
    • (1999) Ach Appl Mech , vol.69 , pp. 751-764
    • Carvelli, V.1    Cen, Z.Z.2    Liu, Y.3    Maier, G.4
  • 5
    • 0035839241 scopus 로고    scopus 로고
    • Shakedown and limit analyses for 3-D structures using the linear matching method
    • Chen HF, Ponter ARS (2001) Shakedown and limit analyses for 3-D structures using the linear matching method. Int J Press Vessels Piping 78:443-451
    • (2001) Int J Press Vessels Piping , vol.78 , pp. 443-451
    • Chen, H.F.1    Ponter, A.R.S.2
  • 6
    • 0015957094 scopus 로고
    • A linear programming approach to shakedown analysis of structures
    • Corradi L, Zavelani A (1974) A linear programming approach to shakedown analysis of structures. Comp Meth Appl Mech Eng 3:37-53
    • (1974) Comp Meth Appl Mech Eng , vol.3 , pp. 37-53
    • Corradi, L.1    Zavelani, A.2
  • 7
    • 0036629739 scopus 로고    scopus 로고
    • On some recent trends in modelling of contact fatigue and wear in rail
    • Dang Van K, Maitournam MH (2002) On some recent trends in modelling of contact fatigue and wear in rail. Wear 253:219-227
    • (2002) Wear , vol.253 , pp. 219-227
    • Dang Van, K.1    Maitournam, M.H.2
  • 8
    • 33847306950 scopus 로고    scopus 로고
    • Unfired pressure
    • EN 13445-3 , vessels. CEN, Brussels
    • EN 13445-3 (2002) Unfired pressure vessels. CEN, Brussels.
    • (2002)
  • 10
    • 38249032260 scopus 로고
    • A nonlinear inequality, finite element approach to the direct computation of shakedown load safety factors
    • Genna F (1988) A nonlinear inequality, finite element approach to the direct computation of shakedown load safety factors. Int J Mech Sci 30:769-789
    • (1988) Int J Mech Sci , vol.30 , pp. 769-789
    • Genna, F.1
  • 11
    • 0031126445 scopus 로고    scopus 로고
    • On the numerical assessment of the safetyfactor of elastic-plastic structures under variable loading
    • Gross-Weege J (1997) On the numerical assessment of the safetyfactor of elastic-plastic structures under variable loading. Int J Mech Sci 39:417-433
    • (1997) Int J Mech Sci , vol.39 , pp. 417-433
    • Gross-Weege, J.1
  • 12
    • 0036559067 scopus 로고    scopus 로고
    • Hamadouche MA (2002) Kinematic shakedown by the Nortonû Hoffû Friaa regularising method and augmented Lagrangian. C.R. Mech 330:305-311
    • Hamadouche MA (2002) Kinematic shakedown by the Nortonû Hoffû Friaa regularising method and augmented Lagrangian. C.R. Mech 330:305-311
  • 13
    • 0001351713 scopus 로고
    • The application of shakedown principles in rolling and sliding contact
    • Johnson KL (1992) The application of shakedown principles in rolling and sliding contact. Eur J Mech/A Solids 11:155-172
    • (1992) Eur J Mech/A Solids , vol.11 , pp. 155-172
    • Johnson, K.L.1
  • 14
    • 0344586934 scopus 로고    scopus 로고
    • A dual form of the discretized kinematic formulation in shakedown analysis
    • Khoi VU, Yan A, Nguyen-Dang H (2004) A dual form of the discretized kinematic formulation in shakedown analysis. Int J Solids Struct 41:267-277
    • (2004) Int J Solids Struct , vol.41 , pp. 267-277
    • Khoi, V.U.1    Yan, A.2    Nguyen-Dang, H.3
  • 15
    • 0037435658 scopus 로고    scopus 로고
    • A general nolinear optimization algorithm for lower bound limit analysis
    • Krabbenhoft K, Damkilde L (2003) A general nolinear optimization algorithm for lower bound limit analysis. Int J Numer Meth Eng 56:165-184
    • (2003) Int J Numer Meth Eng , vol.56 , pp. 165-184
    • Krabbenhoft, K.1    Damkilde, L.2
  • 17
    • 0035371636 scopus 로고    scopus 로고
    • Cyclic plastic deformation tests to verify fem-based shakedown analysis
    • Lang H, Wirtz K, Heitzer M, Staat M, Oettel R (2001) Cyclic plastic deformation tests to verify fem-based shakedown analysis. Nucl Eng Des 206:227-239
    • (2001) Nucl Eng Des , vol.206 , pp. 227-239
    • Lang, H.1    Wirtz, K.2    Heitzer, M.3    Staat, M.4    Oettel, R.5
  • 18
    • 0032002391 scopus 로고    scopus 로고
    • Modelling permanent deformation behaviour of unbound granular materials
    • Lekarp F, Dawson A (1998) Modelling permanent deformation behaviour of unbound granular materials. Construct Build Mater 12:9-18
    • (1998) Construct Build Mater , vol.12 , pp. 9-18
    • Lekarp, F.1    Dawson, A.2
  • 19
    • 4544267927 scopus 로고    scopus 로고
    • Lower bound shakedown analysis by the symmetric Galerkin boundary element method
    • Liu Y, Zhang XZ, Cen ZZ (2005) Lower bound shakedown analysis by the symmetric Galerkin boundary element method. Int J Plast 21:21-42
    • (2005) Int J Plast , vol.21 , pp. 21-42
    • Liu, Y.1    Zhang, X.Z.2    Cen, Z.Z.3
  • 20
    • 0037145314 scopus 로고    scopus 로고
    • Lower bound limit analysis using non-linear programming
    • Lyamin AV, Sloan SW (2002a) Lower bound limit analysis using non-linear programming. Int J Numer Meth Eng 55:573-611
    • (2002) Int J Numer Meth Eng , vol.55 , pp. 573-611
    • Lyamin, A.V.1    Sloan, S.W.2
  • 21
    • 0036467988 scopus 로고    scopus 로고
    • Upper bound limit analysis using linear finite elements and non-linear programming
    • Lyamin AV, Sloan SW (2002b) Upper bound limit analysis using linear finite elements and non-linear programming. Int J Numer Anal Meth Geomech 26:181-216
    • (2002) Int J Numer Anal Meth Geomech , vol.26 , pp. 181-216
    • Lyamin, A.V.1    Sloan, S.W.2
  • 22
    • 26444593941 scopus 로고    scopus 로고
    • Computational formulation of shake-down analysis as a conic quadratic optimization problem
    • Makrodimopoulos A (2006) Computational formulation of shake-down analysis as a conic quadratic optimization problem. Mech Res Commun 33:72-83
    • (2006) Mech Res Commun , vol.33 , pp. 72-83
    • Makrodimopoulos, A.1
  • 23
    • 2942541189 scopus 로고
    • Shakedown analysis by displacement method and equilibrium elements
    • Berlin. Paper L3/3
    • Nguyen-Dang H, Palgen L (1979) Shakedown analysis by displacement method and equilibrium elements. In: Proceedings of SMIRT 5, Berlin. Paper L3/3.
    • (1979) Proceedings of SMIRT , vol.5
    • Nguyen-Dang, H.1    Palgen, L.2
  • 24
    • 0027561132 scopus 로고
    • On the condition to prevent plastic shakedown of structures: Part II - the plastic shakedown limit load
    • Polizzotto C (1993) On the condition to prevent plastic shakedown of structures: Part II - the plastic shakedown limit load. J Appl Mech 60:20-25
    • (1993) J Appl Mech , vol.60 , pp. 20-25
    • Polizzotto, C.1
  • 26
    • 0021201748 scopus 로고
    • Shakedown of pavements under moving surface loads
    • Sharp RW, Booker JR (1984) Shakedown of pavements under moving surface loads. J Transp Eng 110:1-14
    • (1984) J Transp Eng , vol.110 , pp. 1-14
    • Sharp, R.W.1    Booker, J.R.2
  • 28
    • 0023842382 scopus 로고
    • Lower bound limit analysis using finite elements and linear programming
    • Sloan SW (1988) Lower bound limit analysis using finite elements and linear programming. Int J Numer Anal Meth Geomech 12:61-77
    • (1988) Int J Numer Anal Meth Geomech , vol.12 , pp. 61-77
    • Sloan, S.W.1
  • 29
    • 0024854044 scopus 로고
    • Upper bound limit analysis using finite elements and linear programming
    • Sloan SW (1989) Upper bound limit analysis using finite elements and linear programming. Int J Numer Anal Meth Geomech 13:263-284
    • (1989) Int J Numer Anal Meth Geomech , vol.13 , pp. 263-284
    • Sloan, S.W.1
  • 30
    • 0029405294 scopus 로고
    • Upper bound limit analysis using discontinuous velocity fields
    • Sloan SW, Kleeman PW (1995) Upper bound limit analysis using discontinuous velocity fields. Comput Meth Appl Mech Eng 127:293-314
    • (1995) Comput Meth Appl Mech Eng , vol.127 , pp. 293-314
    • Sloan, S.W.1    Kleeman, P.W.2
  • 31
    • 0028496069 scopus 로고
    • An analytical method for shakedown problems with linear kinematic hardening materials
    • Stein E, Huang Y (1994) An analytical method for shakedown problems with linear kinematic hardening materials. Int J Solids Struct 31:2433-2444
    • (1994) Int J Solids Struct , vol.31 , pp. 2433-2444
    • Stein, E.1    Huang, Y.2
  • 32
    • 33847273645 scopus 로고    scopus 로고
    • Zhang G (1995) Einspielen und dessen numerische Behandlung von Flachentragwerken aus ideal plastischem bzw. kinematisch verfestingendem Material, Berich-nr. F92/i. Institut für Mechanik, University Hannover.
    • Zhang G (1995) Einspielen und dessen numerische Behandlung von Flachentragwerken aus ideal plastischem bzw. kinematisch verfestingendem Material, Berich-nr. F92/i. Institut für Mechanik, University Hannover.
  • 33
    • 0036006520 scopus 로고    scopus 로고
    • An eigen-mode method in kinematic shakedown analysis
    • Zhang T, Raad L (2002) An eigen-mode method in kinematic shakedown analysis. Int J Plast 18:71-90
    • (2002) Int J Plast , vol.18 , pp. 71-90
    • Zhang, T.1    Raad, L.2
  • 34
    • 2942607611 scopus 로고    scopus 로고
    • Boundary element methods follower bound limit and shakedown analysis
    • Zhang Z, Liu Y, Cen Z (2004) Boundary element methods follower bound limit and shakedown analysis. Eng Anal Bound Elem 28:905-917
    • (2004) Eng Anal Bound Elem , vol.28 , pp. 905-917
    • Zhang, Z.1    Liu, Y.2    Cen, Z.3
  • 35
    • 0037192729 scopus 로고    scopus 로고
    • An algorithm for shake-down analysis with nonlinear yield functions
    • Zouain N, Borges L, Silveira JL (2002) An algorithm for shake-down analysis with nonlinear yield functions. Comput Meth Appl Mech Eng 191:2463-2481
    • (2002) Comput Meth Appl Mech Eng , vol.191 , pp. 2463-2481
    • Zouain, N.1    Borges, L.2    Silveira, J.L.3
  • 36
    • 0033189743 scopus 로고    scopus 로고
    • Extremum principles for bounds to shakedown loads
    • Zouain N, Silveira JL (1999) Extremum principles for bounds to shakedown loads. Eur J Mech A/Solids 18:879-901
    • (1999) Eur J Mech A/Solids , vol.18 , pp. 879-901
    • Zouain, N.1    Silveira, J.L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.