Thermodynamic format and heat generation of isotropic hardening plasticity

Acta Mechanica

Volumn 194, Issue 1-4, 2007, Pages 103-121

  Ristinmaa, M ^a   Wallin, M ^a   Ottosen, N S ^a  

^a Lund University ^*  (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

HARDENING; HEAT GENERATION; PLASTIC DEFORMATION; PLASTICITY; STRESS-STRAIN CURVES; THERMODYNAMIC PROPERTIES;

DISSIPATIVE PROPERTIES; POTENTIAL FUNCTIONS; YIELD FUNCTIONS;

STEEL ANALYSIS;

EID: 35648957221     PISSN: 00015970     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00707-007-0448-6     Document Type: Article

References (39)

1. Farren W. S. and Taylor G. I. (1925). The heat developed during plastic extension of metals. Proc. Royal Soc. Lond. A 107: 422-451
2. Taylor G. I. and Quinney H. (1934). The latent energy remaining in a metal after cold working. Proc. Royal Soc. Lond. A 143: 307-326
3. Gordon P. (1955). Microcalorimetric investigation of recrystallization of copper. Trans. ASME 203: 1043-1052
4. Åström H. U. (1955). Isothermal measurements on the release of energy stored in cold-worked alumininum. Arkiv för Fysik 10: 197-211
5. Batra R. C. and De-Shin Liu. (1990). Adiabatic shear banding in dynamic plane strain compression of a viscoplastic material. Int. J. Plast. 6: 231-246
6. Duffy J. (1984). Temperature measurements during the formation of shear bands in a structural steel. In: Dvorak, G. J. and Shield, R. T. (eds) Mechanics of material behavior, pp 75-86. Elsevier, Amsterdam
7. Marchand A. and Duffy J. (1988). An experimental study of the formation process of adiabatic shear bands in a structural steel. J. Mech. Phys. Solids 36: 251-283
8. Zehnder A. T. and Rosakis A. J. (1991). On the temperature distribution at the vicinity of dynamically propagating cracks in 4340 steel. J. Mech. Phys. Solids 39: 385-415
9. Zehnder A. T. and Rosakis A. J. (1993). Temperature rise at the tip of dynamically propagating cracks: measurments using high speed infrared detectors. Exp. Tech. Fract. 3: 125-169
10. Dillon O. W. Jr. (1966). The heat generation during the torsional oscillations of copper tubes. Int. J. Solids Struct. 2: 181-204
11. Halford, G. R.: Stored energy of cold work changes induced by cyclic deformation. Department of Theoretical and Applied Mechanics, University of Illinois, Urbana: PhD thesis, 1966.
12. Bever, M. B., Holt, D. L., Titcher, A. L.: The stored energy of cold work. Progress in Material Science, Pergamon Press Ltd. 1973.
13. Benzerga A., Brechet Y., Needleman A. and van der Giessen E. (2005). The stored energy of cold work: Predictions from discrete dislocation plasticity. Acta Materialica 53: 4765-4779
14. Lemonds J. and Needleman A. (1986). An analysis of shear band development incorporationg heat conduction. Mech. Mater. 5: 363-373
15. Lemonds J. and Needleman A. (1986). Finite element analyses of shear localization in rate and temperature dependent solids. Mech. Mater. 5: 339-361
16. Wriggers P., Miehe C., Kleiber M. and Simo J. C. (1992). On the coupled thermomechanical treatment of necking problems via finite element methods. Int. J. Numer. Meth. Engng. 33: 869-883
17. Simo J. C. and Miehe C. (1992). Associative coupled thermoplasticity at finite strains: Formulation, numerical analysis and implementation. Comp. Meth. Appl. Mech. Engng. 98: 41-104
18. Zehnder A. T. (1991). A model for the heating due to plastic work. Mech. Res. Commun. 18: 23-28
19. Aravas N., Kim K.-S. and Leckie F. A. (1990). On the calculations of the stored energy of cold work. J. Engng. Mater. Technol. 112: 465-470
20. Bodner S. R. and Lindenfeld A. (1995). Constitutive modelling of the stored energy of cold work under cyclic loading. Eur. J. Mech. A/Solids 14: 333-348
21. Kamlah M. and Haupt P. (1998). On the macroscopic description of stored energy and self heating during plastic deformation. Int. J. Plast. 13: 893-911
22. Armstrong, P. J., Frederick, C. O.: A mathematical representation of the multilinear Bauchinger effect. Berkely Nuclear Laboratories, Report/RD/B/N731, 1966.
23. Håkansson P., Wallin M. and Ristinmaa M. (2005). Comparison of isotropic hardening and kinematic hardening in thermoplasticity. Int. J. Plast. 21: 1435-1460
24. Chaboche J. L. (1993). Cyclic viscoplastic constitutive equations, Parts I and II. J. Appl. Mech. 60: 813-823
25. Rosakis P., Rosakis A. J., Ravichandran G. and Hodowany J. (2000). A thermodynamic internal variable model for the partition of plastic work into heat and stored energy in metals. J. Mech. Phys. Solids 48: 581-607
26. Kröner E. (1960). Allgemeine Kontinuumstheorie der Versetzungen und Eigenspannungen. Arch Rational Mech. Anal. 4: 273-334
27. Lee E. H. (1969). Elastic-plastic deformation at finite strains. J. Appl. Mech. 36: 1-6
28. Harrysson, M., Harrysson, A., Ristinmaa, M.: Spatial represenation of evolving anisotropy at large strains. Int. J. Solids Struct. DOI: 10.1016/j.ijsolstr.2006.10.002D, 2006.
29. Ottosen, N. S., Ristinmaa, M.: The mechanics of constitutive modelling. Elsevier 2005.
30. Lubliner J. (1972). On the thermodynamic foundations of non-linear solid mechanics. Int. J. Non-Linear Mech. 7: 237-254
31. Lu S. C. H. and Pister K. S. (1975). Decomposition of deformation and representation of the free energy function for isotropic thermoelastic solids. Int. J. Solids Struct. 11: 927-934
32. Mason J. J., Rosakis A. J. and Ravichandran G. (1994). On the strain and strain rate dependence of the fraction of plastic work converted to heat: an experimental study using high speed infrared detectors and the Kolsky bar. Mech. Mater. 17: 135-145
33. Luenberger, D. G.: Linear and nonlinear programming, 2nd ed. Addison-Wesley 1984.
34. Eringen, A. C.: Thermodynamics of continua. In: Continuum physics (Eringen, A. C., ed.), Academic Press 1975.
35. Odqvist F. K. G. (1933). Die Verfestigung von flusseisenähnlichen. Körpern - Ein Beitrag zur Plastizitätstheorie. ZAMM 13: 360-363
36. Oliferuk W., Swiatnicki W. A. and Grabski M. W. (1993). Rate of energy storage and microstructure evolution during the tensile deformation of austenitic steel. Mater. Sci. Engng. A 161: 55-63
37. Oliferuk W., Maj M. and Raniecki B. (2004). Experimental analysis of energy storage rate components during tensile deformation of polycrystals. Mater. Sci. Engng. A 374: 77-81
38. Nelder J. A. and Mead R. (1965). A simplex method for function minimization. Comput. J. 7: 308-313
39. Williams O. R. (1965). The stored energy of copper deformed as 24 °C. Acta Metallurgica 13: 163-168