Shakedown static and kinematic theorems for elastic-plastic limited linear kinematic-hardening solids

European Journal of Mechanics, A/Solids

Volumn 24, Issue 1, 2005, Pages 35-45

  Chinh, Pham Duc ^a  

^a GRADUATE UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Viet Nam)

Author keywords

Elastic plastic material; Limited linear kinematic hardening; Residual stress; Shakedown; Strain compatibility

Indexed keywords

BOUNDARY CONDITIONS; DYNAMIC RESPONSE; ELASTOPLASTICITY; KINEMATICS; MATHEMATICAL MODELS; PLASTIC DEFORMATION; RESIDUAL STRESSES; STRAIN;

ELASTIC-PLASTIC MATERIALS; LIMITED LINEAR KINEMATIC HARDENING; SHAKEDOWN; STRAIN COMPATIBILITY;

HARDENING;

EID: 13244286595     PISSN: 09977538     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.euromechsol.2004.11.001     Document Type: Article

References (36)

1. G. Bodoville, and G. de Saxce Plasticity with nonlinear kinematic hardening: modelling and shakedown analysis by bipotential approach Eur. J. Mech. A Solids 20 2001 99 112
2. G. Ceradini Dynamic shakedown in elastic-plastic bodies ASCE J. Engrg. Mech. Div. 106 1980 481 499
3. A. Corigliano, G. Maier, and S. Pycko Kinematic criteria of dynamic shakedown extended to nonassociate constitutive laws with saturation nonlinear hardening Redic. Accad. Lincei (IX) VI 1995 55 64
4. 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 1995 3145 3166
5. L. Corradi, and G. Maier Dynamic inadaptation theorem for elastic-perfectly plastic continua J. Mech. Phys. Solids 22 1974 401 413
6. K. Dang Van Fatigue analysis by the multiscale approach K. Dang Van Papadopoulos High-Cycle Metal Fatigue, from Theory to Applications CISM Courses and Lectures vol. 392 1999 Springer New York
7. O. Debordes, and B. Nayroles Sur la theorie et la calcul à l'adaptation des structures elastoplastiques J. Mécanique 15 1976 1 53
8. P. Fuschi Structural shakedown for elastic plastic materials with hardening saturation surface Int. J. Solids Struct. 36 1999 219 240
9. D.A. Gokhfeld, and O.F. Cherniavski Limit Analysis of Structures at Thermal Cycling 1980 North-Holland
10. H.S. Ho Shakedown in elastic-plastic systems under dynamic loading J. Appl. Mech. 39 1972 416
11. J. Kamenjarzh Extremum problems in shakedown theory Z. Mroz Inelastic Behaviour of Structures under Variable Loads 1995 Kluwer Academic 219 236
12. W.T. Koiter General theorems for elastic-plastic solids I.N. Sneddon R. Hill Progress in Solids Mechanics 1963 North-Holland Amsterdam 165 221
13. A. König Shakedown of Elastic-Plastic Structures 1987 Elsevier Amsterdam
14. J.A. König, and A. Siemaszko Strainhardening effects in shakedown process Ing. Arch. 58 1988 58 66
15. G. Maier A shakedown theory allowing for workhardening and second-order geometric effects A. Sawczuk Foundations of Plasticity 1972 Noordhoff
16. G. Maier On some issues in shakedown analysis J. Appl. Mech. 68 2001 799 808
17. J. Mandel Adaptation d'une structure plastique ecrouissable et approximations Mech. Res. Comm. 3 1976 483 488
18. E. Melan Zur Plastizität des räumlichen Kontinuums Ing. Arch. 9 1938 116 126
19. Q.S. Nguyen On shakedown analysis in hardening plasticity J. Mech. Phys. Solids 51 2003 101 125
20. Q.S. Nguyen, and D.C. Pham On shakedown theorems in hardening plasticity C. R. Acad. Sci. Paris, Ser IIb 329 2001 307 314
21. D.C. Pham Extended shakedown theorems for elastic plastic bodies under quasiperiodic dynamic loading Proc. Roy. Soc. London Ser. A 439 1992 649 658
22. D.C. Pham Shakedown of bars subjected to cycles of loads and temperature Int. J. Solids Struct. 30 1993 1173 1179
23. D.C. Pham Dynamic shakedown and a reduced kinematic theorem Int. J. Plasticity 12 1996 1055 1068
24. D.C. Pham Safety and collapse of elastic-plastic beams against dynamic loads Int. J. Mech. Sci. 42 2000 575 592
25. D.C. Pham Shakedown kinematic theorem for elastic-perfectly plastic bodies Int. J. Plasticity 17 2001 773 780
26. D.C. Pham Plastic collapse of a circular plate under cyclic loads Int. J. Plasticity 19 2003 547 559
27. D.C. Pham Shakedown theory for elastic-perfectly plastic bodies revisited Int. J. Mech. Sci. 45 2003 1011 1027
28. D.C. Pham, and H. Stumpf Kinematical approach to shakedown analysis of some structures Quart. Appl. Math. LII 1994 707 719
29. D.C. Pham, and D. Weichert Shakedown analysis for elastic plastic bodies with limited kinematic hardening Proc. Roy. Soc. London Ser. A 457 2001 1097 1110
30. C. Polizzotto, G. Borino, S. Caddemi, and P. Fuschi Shakedown problems for mechanical models with internal variables Eur. J. Mech. A Solids 10 1991 621 639
31. Ponter, A.R.S., 1975. A general shakedown theorem for elastic plastic bodies with work hardening, Proc. SMIRT-3, paper L5/2
32. W. Prager An Introduction to Plasticity 1959 Addision-Wesley London
33. D. Weichert, and J. Gross-Weege The numerical assessment of elastic-plastic sheets under variable mechanical and thermal loads using a simplified two-surface yield condition Int. J. Mech. Sci. 30 1988 757 767
34. D. Weichert G. Maier Inelastic Behaviour of Structures under Variable Repeated Loads 2002 Springer
35. T. Yokobori The Strength, Fracture and Fatigue of Metals 1965 Noordhoff Gröningen
36. J. Zarka, and J. Casier Elastic-plastic response of a structure to cyclic loading: practical rule S. Nemat-Nasser Mechanics Today, vol. 6 1981 Pergamon