메뉴 건너뛰기




Volumn 43, Issue 9, 2006, Pages 2670-2692

A comparison between analytical calculations of the shakedown load by the bipotential approach and step-by-step computations for elastoplastic materials with nonlinear kinematic hardening

Author keywords

Bipotential; Implicit standard materials; Nonassociative plasticity; Nonlinear kinematic hardening; Shakedown

Indexed keywords

ELASTOPLASTICITY; HARDENING; KINEMATICS; STRUCTURAL ANALYSIS;

EID: 33644857987     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2005.06.042     Document Type: Article
Times cited : (47)

References (37)
  • 1
    • 0003725070 scopus 로고
    • A mathematical representation of the multiaxial Bauschinger effect
    • Report No. RD/B/N731
    • Armstrong, P.-J., Frederick, C.-O., 1966. A mathematical representation of the multiaxial Bauschinger effect. In: C.E.G.B., Report No. RD/B/N731.
    • (1966) C.E.G.B.
    • Armstrong, P.-J.1    Frederick, C.-O.2
  • 2
    • 33644862537 scopus 로고
    • Shakedown experiments on a T section Beam
    • Report No. RD/B/N907
    • Armstrong, P.-J., Townley, C.H.A., 1967. Shakedown experiments on a T section Beam. In: C.E.G.B., Report No. RD/B/N907.
    • (1967) C.E.G.B.
    • Armstrong, P.-J.1    Townley, C.H.A.2
  • 3
    • 0033179368 scopus 로고    scopus 로고
    • Sur l'endommagement et les matériaux standards implicites
    • G. Bodovillé Sur l'endommagement et les matériaux standards implicites C. R. Acad. Sci. Paris Série IIb 327 1999 715 720
    • (1999) C. R. Acad. Sci. Paris Série IIb , vol.327 , pp. 715-720
    • Bodovillé, G.1
  • 4
    • 0035123272 scopus 로고    scopus 로고
    • Plasticity with nonlinear kinematic hardening: Modelling and shakedown analysis by the bipotential approach
    • G. Bodovillé, and G. de Saxcé Plasticity with nonlinear kinematic hardening: Modelling and shakedown analysis by the bipotential approach Eur. J. Mech. A/Solids 20 2001 99 112
    • (2001) Eur. J. Mech. A/Solids , vol.20 , pp. 99-112
    • Bodovillé, G.1    De Saxcé, G.2
  • 5
    • 0033882401 scopus 로고    scopus 로고
    • Consistent shakedown theorems for materials with temperature dependent yield functions
    • G. Borino Consistent shakedown theorems for materials with temperature dependent yield functions Int. J. Solids Struct. 37 22 2000 3121 3147
    • (2000) Int. J. Solids Struct. , vol.37 , Issue.22 , pp. 3121-3147
    • Borino, G.1
  • 6
    • 0035157331 scopus 로고    scopus 로고
    • Softening in stress-strain curve for Drucker-Prager non-associated plasticity
    • L. Bousshine, A. Chaaba, and G. de Saxcé Softening in stress-strain curve for Drucker-Prager non-associated plasticity Int. J. Plasticity 17 1 2001 21 46
    • (2001) Int. J. Plasticity , vol.17 , Issue.1 , pp. 21-46
    • Bousshine, L.1    Chaaba, A.2    De Saxcé, G.3
  • 7
    • 0037400362 scopus 로고    scopus 로고
    • A new approach to shakedown analysis for nonstandard elastoplatic material by the bipotential
    • L. Bousshine, A. Chaaba, and G. de Saxcé A new approach to shakedown analysis for nonstandard elastoplatic material by the bipotential Int. J. Plasticity 19 5 2003 583 598
    • (2003) Int. J. Plasticity , vol.19 , Issue.5 , pp. 583-598
    • Bousshine, L.1    Chaaba, A.2    De Saxcé, G.3
  • 9
    • 33644862536 scopus 로고    scopus 로고
    • A new approach of shakedown analysis for non-standard elasto-plastic materials by the bipotential theory
    • September 8-11, Aachen, Germany
    • Chaaba, A., Bousshine, L., De Saxcé, G., 1998. A new approach of shakedown analysis for non-standard elasto-plastic materials by the bipotential theory. Euromech Colloquium 385, September 8-11, Aachen, Germany.
    • (1998) Euromech Colloquium , vol.385
    • Chaaba, A.1    Bousshine, L.2    De Saxcé, G.3
  • 10
    • 0026366839 scopus 로고
    • On some modifications of kinematic hardening to improve the description of ratchetting effects
    • J.-L. Chaboche On some modifications of kinematic hardening to improve the description of ratchetting effects Int. J. Plasticity 7 7 1991 661 678
    • (1991) Int. J. Plasticity , vol.7 , Issue.7 , pp. 661-678
    • Chaboche, J.-L.1
  • 11
    • 0000715864 scopus 로고
    • Dynamic shakedown analysis and bounds for elastoplastic structures with nonassociative, internal variable constitutive laws
    • A. Corigliano, G. Maier, and S. Pycko Dynamic shakedown analysis and bounds for elastoplastic structures with nonassociative, internal variable constitutive laws Int. J. Solids Struct. 32 21 1995 3145 3166
    • (1995) Int. J. Solids Struct. , vol.32 , Issue.21 , pp. 3145-3166
    • Corigliano, A.1    Maier, G.2    Pycko, S.3
  • 13
    • 0000193181 scopus 로고
    • Une généralisation de l'inégalité de Fenchel et ses applications aux lois constitutives
    • G. De Saxcé Une généralisation de l'inégalité de Fenchel et ses applications aux lois constitutives C. R. Acad. Sci. Paris Série II 314 1992 125 129
    • (1992) C. R. Acad. Sci. Paris Série II , vol.314 , pp. 125-129
    • De Saxcé, G.1
  • 14
    • 0032043568 scopus 로고    scopus 로고
    • The limit analysis theorems for the implicit standard materials: Application to the unilateral contact with dry friction and the nonassociated flow rules in soils and rocks
    • G. De Saxcé, and L. Bousshine The limit analysis theorems for the implicit standard materials: Application to the unilateral contact with dry friction and the nonassociated flow rules in soils and rocks Int. J. Mech. Sci. 40 N°4 1998 387 398
    • (1998) Int. J. Mech. Sci. , vol.40 , Issue.4 , pp. 387-398
    • De Saxcé, G.1    Bousshine, L.2
  • 15
    • 0141747305 scopus 로고    scopus 로고
    • Shakedown of elastic-plastic structures with nonlinear kinematic hardening by the bipotential approach
    • D. Weichert G. Maier Kluwer Academic Publishers Netherlands
    • G. De Saxcé, J.-B. Tritsch, and M. Hjiaj Shakedown of elastic-plastic structures with nonlinear kinematic hardening by the bipotential approach D. Weichert G. Maier Inelastic Analysis of Structures Under Variable Loads 2000 Kluwer Academic Publishers Netherlands 167 182
    • (2000) Inelastic Analysis of Structures under Variable Loads , pp. 167-182
    • De Saxcé, G.1    Tritsch, J.-B.2    Hjiaj, M.3
  • 16
    • 0001782017 scopus 로고
    • On conjugate convex functions
    • W. Fenchel On conjugate convex functions Can. J. Math. 1 1949 73 77
    • (1949) Can. J. Math. , vol.1 , pp. 73-77
    • Fenchel, W.1
  • 17
    • 84970160452 scopus 로고
    • Torispherical drumheads: A limit pressure and shakedown investigation
    • G.E. Findlay, D.G. Moffat, and P. Stanley Torispherical drumheads: A limit pressure and shakedown investigation J. Strain Anal. 6 3 1971 147
    • (1971) J. Strain Anal. , vol.6 , Issue.3 , pp. 147
    • Findlay, G.E.1    Moffat, D.G.2    Stanley, P.3
  • 18
    • 0016433301 scopus 로고
    • Sur les matériaux standards généralisés
    • B. Halphen, and Q.S. Nguyen Sur les matériaux standards généralisés J. de Mécanique 14 1975 39 63
    • (1975) J. de Mécanique , vol.14 , pp. 39-63
    • Halphen, B.1    Nguyen, Q.S.2
  • 19
    • 0000058964 scopus 로고
    • General theorems for elastic-plastic solids
    • I.N. Sneddon R. Hills North Holland Amsterdam
    • W.T. Koiter General theorems for elastic-plastic solids I.N. Sneddon R. Hills Progress in Solid Mechanics vol. 1 1960 North Holland Amsterdam
    • (1960) Progress in Solid Mechanics , vol.1
    • Koiter, W.T.1
  • 22
    • 0001326912 scopus 로고
    • Shakedown theory in perfect elasto-plasticity with associated and nonassociated flow laws: A finite element programming approach
    • G. Maier Shakedown theory in perfect elasto-plasticity with associated and nonassociated flow laws: A finite element programming approach Meccanica 4 1969 250 260
    • (1969) Meccanica , vol.4 , pp. 250-260
    • Maier, G.1
  • 23
  • 26
    • 33644855436 scopus 로고
    • Essai d'adaptation et de stabilisation plastiques sur des poutrelles laminées
    • C. Massonnet Essai d'adaptation et de stabilisation plastiques sur des poutrelles laminées L'Ossature fléchie 19 1956 318
    • (1956) L'Ossature Fléchie , vol.19 , pp. 318
    • Massonnet, C.1
  • 28
    • 0000372880 scopus 로고
    • Theorie statisch unbestimmer systeme aus ideal-plastischem Baustoff
    • E. Melan Theorie statisch unbestimmer systeme aus ideal-plastischem Baustoff Sitber. Akad. Wiss. Wien, IIa 145 1936 195 218
    • (1936) Sitber. Akad. Wiss. Wien, IIa , vol.145 , pp. 195-218
    • Melan, E.1
  • 29
    • 0001763669 scopus 로고
    • Zur Plastizität des räumlichen Kontinuums
    • E. Melan Zur Plastizität des räumlichen Kontinuums Ing. Arch. 9 1938 116 126
    • (1938) Ing. Arch. , vol.9 , pp. 116-126
    • Melan, E.1
  • 30
    • 0000626499 scopus 로고
    • La notion de sur-potentiel et les liaisons unilatérales en élastostatique
    • J.-J. Moreau La notion de sur-potentiel et les liaisons unilatérales en élastostatique C. R. Acad. Sci. Paris Série A 267 1968 954 957
    • (1968) C. R. Acad. Sci. Paris Série A , vol.267 , pp. 954-957
    • Moreau, J.-J.1
  • 31
    • 0000563980 scopus 로고
    • La notion de sanctuaire d'élasticité et d'adaptation des structures
    • B. Nayroles, and D. Weichert La notion de sanctuaire d'é lasticité et d'adaptation des structures C. R. Acad. Sci. Paris Série II 316 1993 1493 1498
    • (1993) C. R. Acad. Sci. Paris Série II , vol.316 , pp. 1493-1498
    • Nayroles, B.1    Weichert, D.2
  • 32
    • 0037209898 scopus 로고    scopus 로고
    • On shakedown in hardening plasticity
    • Q.S. Nguyen On shakedown in hardening plasticity J. Mech. Phys. Solids 51 1 2003 101 125
    • (2003) J. Mech. Phys. Solids , vol.51 , Issue.1 , pp. 101-125
    • Nguyen, Q.S.1
  • 33
    • 0037374969 scopus 로고    scopus 로고
    • Plastic collapse of a circular plate under cyclic loads
    • D.C. Pham Plastic collapse of a circular plate under cyclic loads Int. J. Plasticity 19 4 2003 547 559
    • (2003) Int. J. Plasticity , vol.19 , Issue.4 , pp. 547-559
    • Pham, D.C.1
  • 34
    • 0242513480 scopus 로고
    • Experimental investigations into elastic-plastic behaviour of isolated nozzles in spherical shells. Part II: Shakedown and plastic analysis
    • Report No. RD/B/N861
    • Proctor, E., Flinders, R.F., 1967. Experimental investigations into elastic-plastic behaviour of isolated nozzles in spherical shells. Part II: Shakedown and plastic analysis. In: C.E.G.B., Report No. RD/B/N861.
    • (1967) C.E.G.B.
    • Proctor, E.1    Flinders, R.F.2
  • 35
    • 0029234274 scopus 로고
    • Shakedown theorems for some classes of nonassociative hardening elastic-plastic material models
    • S. Pycko, and G. Maier Shakedown theorems for some classes of nonassociative hardening elastic-plastic material models Int. J. Plasticity 11 4 1995 367 395
    • (1995) Int. J. Plasticity , vol.11 , Issue.4 , pp. 367-395
    • Pycko, S.1    Maier, G.2
  • 36
    • 0015248028 scopus 로고
    • Elastic-plastic computations as a basis for design charts for torispherical pressure vessels ends
    • C.H.A. Townley, G.E. Findlay, A.M. Goodman, and P. Stanley Elastic-plastic computations as a basis for design charts for torispherical pressure vessels ends Proc. Inst. Mech. Eng. 185 1970-1971 869
    • (1970) Proc. Inst. Mech. Eng. , vol.185 , pp. 869
    • Townley, C.H.A.1    Findlay, G.E.2    Goodman, A.M.3    Stanley, P.4
  • 37
    • 0032290709 scopus 로고    scopus 로고
    • Influence of geometrical nonlinearities on the shakedown of damaged structures
    • D. Weichert, and A. Hachemi Influence of geometrical nonlinearities on the shakedown of damaged structures Int. J. Plasticity 14 9 1998 891 907
    • (1998) Int. J. Plasticity , vol.14 , Issue.9 , pp. 891-907
    • Weichert, D.1    Hachemi, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.