Consistency for two multi-mechanism models in isothermal plasticity

International Journal of Plasticity

Volumn 24, Issue 11, 2008, Pages 2059-2083

  Wolff, Michael ^a   Taleb, Lakhdar ^b  

^a UNIVERSITY OF BREMEN   (Germany)

^b National Institute of Applied Sciences of Rouen   (France)

Author keywords

Constitutive behavior; Cyclic loading; Mechanical testing; Multi mechanisms; Plastic collapse

Indexed keywords

ARSENIC COMPOUNDS; COMPUTER SIMULATION; CONSTITUTIVE EQUATIONS; ELASTICITY; FORECASTING; IRON; LEAD; MECHANISMS; PLASTICITY; PLASTICS; THEOREM PROVING; THERMODYNAMICS;

AFTER-SALES; COMPLEX RATCHETING TESTS; CYCLIC STRAINING; DIFFERENT MECHANISMS; IDENTIFICATION PROCESSES; INELASTIC MECHANISMS; INTERNATIONAL (CO); MATERIAL BEHAVIORS; MONOTONIC TENSION; NEW CLASS; NON NEGATIVITY; NUMERICAL SIMULATIONS; PARAMETER VALUES; PLASTIC STRAINING; SCALE TRANSITION;

CONSTITUTIVE MODELS;

EID: 48749090141     PISSN: 07496419     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijplas.2008.03.001     Document Type: Article

References (62)

1. Abdel-Karim M. Numerical integration method for kinematic hardening rules with partial activation of dynamic recovery term. International Journal of Plasticity 21 (2005) 1303
2. Abdel-Karim M., and Ohno N. Kinematic hardening model suitable for ratcheting with steady-state. International Journal of Plasticity 16 (2000) 225
3. Aeby-Gautier, E., Cailletaud, G., 2004. N-phase modeling applied to phase transformations in steels: a coupled kinetics-mechanics approach. In: ICHMM-2004 International Conference on Heterogeneous Material Mechanics, Chongqing, China.
4. Anandarajah A. Multi-mechanism anisotropic model for granular materials. International Journal of Plasticity (2007) 10.1016/j.ijplas.2007.07.012
5. Armstrong, P.J., Frederick, C.O., 1966. A mathematical representation of the multiaxial Bauschinger effect. CEGB Report No. RD/B/N 731.
6. Aubin, V., Bulthé, A.-L., Degallaix, S., Quaegebeur, P., 2003. Ratcheting behavior of a duplex stainless steel: characterization and modeling. In: Ninth International Conference on the Mechanical Behavior of Materials, May 2003, Genève, Suisse, pp. 25-29.
7. Aubin, V., Degallaix, S., 2006. Contribution of yield surface measurement to plastic behaviour modeling. In: Plasticity'06, 12th International Symposium on Plasticity and its Current Applications, July, Halifax, Nova Scotia, Canada, pp. 17-22.
8. Bari S., and Hassan T. Anatomy of coupled constitutive models for ratcheting simulation. International Journal of Plasticity 16 (2000) 381
9. Bari S., and Hassan T. Kinematic hardening rules in uncoupled modeling for multiaxial ratcheting simulation. International Journal of Plasticity 17 (2001) 885
10. Bari S., and Hassan T. An advancement in cyclic plasticity modeling for multiaxial ratcheting simulation. International Journal of Plasticity 18 (2002) 873
11. Basuroychowdhury I.N., and Voyiadjis G.Z. A multiaxial cyclic plasticity model for non-proportional loading cases. International Journal of Plasticity 14 (1998) 855
12. Besson J., Leriche R., Foerch R., and Cailletaud G. Object-oriented programming applied to the finite element method. Part II. Application to material behaviors. Revue Européenne des Éléments Finis 7 5 (1998) 567-588
13. Besson J., Cailletaud G., Chaboche J.-L., and Forest S. Mécanique non linéaire des matériaux (2001), Hermes Science Europe Ltd., Paris
14. Bocher L., Delobelle P., Robinet P., and Feaugas X. Mechanical and microstructural investigations of an austenitic stainless steel under non-proportional loadings in tension-torsion-internal and external pressure. International Journal of Plasticity 17 (2001) 1491
15. Burlet H., and Cailletaud G. Modeling of cyclic plasticity in finite element codes. Constitutive Laws for Engineering Materials: Theory and Applications (1987) 1157
16. Cailletaud G., and Sai K. Study of plastic/viscoplastic models with various inelastic mechanisms. International Journal of Plasticity 11 (1995) 991
17. Chaboche J.L. On some modifications of kinematic hardening to improve the description of ratcheting effects. International Journal of Plasticity 7 (1991) 661
18. Chaboche J.L. Modeling of ratcheting: evaluation of various approaches. European Journal of Mechanics A/Solids 13 (1994) 501
19. Chen X., and Jiao R. Modified kinematic hardening rule for multiaxial ratcheting prediction. International Journal of Plasticity 20 (2004) 871
20. Chen X., Jiao R., and Kwang S.K. On the Ohno-Wang kinematic hardening rules for multiaxial ratcheting modeling of medium carbon steel. International Journal of Plasticity 21 (2005) 161
21. Colak O.U. A viscoplasticity theory applied to proportional and non proportional cyclic loading at small strains. International Journal of Plasticity 20 (2004) 1387
22. Corona E., Hassan T., and Kyriakides S. On the performance of kinematic hardening rules in predicting a class of biaxial ratcheting histories. International Journal of Plasticity 12 (1996) 117
23. Delobelle P., Robinet P., and Bocher L. Experimental study and phenomenological modelization of ratchet under uniaxial and biaxial loading on an austenitic stainless steel. International Journal of Plasticity 11 (1995) 295
24. Dieng L., Abdul-Latif A., Haboussi M., and Cunat C. Cyclic plasticity modeling with the distribution of non-linear relaxations approach. International Journal of Plasticity 21 (2005) 353
25. Fang H.L. A state-dependent multi-mechanism model for sands. Tomas Telford Journal 53 4 (2004) 407
26. Feaugas X., and Gaudin C. Ratcheting process in the stainless steel AISI 316L at 300 °K: an experimental investigation. International Journal of Plasticity 20 (2004) 643
27. Hassan T., and Kyriakides S. Ratcheting in cyclic plasticity, part I: uniaxial behavior. International Journal of Plasticity 8 (1992) 91
28. Hassan T., Corona E., and Kyriakides S. Ratcheting in cyclic plasticity, part II: multiaxial behavior. International Journal of Plasticity 8 (1992) 117
29. Hassan T., and Kyriakides S. Ratcheting of cyclically hardening and softening materials, part I: uniaxial behavior. International Journal of Plasticity 10 (1994) 149
30. Hassan T., and Kyriakides S. Ratcheting of cyclically hardening and softening materials, part II: multiaxial behavior. International Journal of Plasticity 10 (1994) 185
31. Haupt P. Continuum Mechanics and Theory of Materials (2000), Springer-Verlag, Berlin
32. Helm D. Stress computation in finite thermoviscoplasticity. International Journal of Plasticity 22 (2006) 1699
33. Helm D. Thermomechanics of martensitic phase transformation in shape-memory alloys - I. Constitutive theories for small and large deformations. Journal of Mechanics of Materials and Structures 2 1 (2007) 87
34. Jiang Y., and Sehitoglu H. Modeling of cyclic ratcheting plasticity, part I: development of constitutive relations. ASME Journal of Applied Mechanics 63 (1996) 720
35. Jiang Y., and Sehitoglu H. Modeling of cyclic ratcheting plasticity, part I: comparison of model simulations with experiments. ASME Journal of Applied Mechanics 63 (1996) 726
36. Johansson G., Ekh M., and Runesson K. Computational modeling of inelastic large ratcheting strains. International Journal of Plasticity 21 (2005) 955
37. Kang G., Gao Q., and Yang X. Uniaxial cyclic ratcheting and plastic flow properties of SS304 stainless steel at room and elevated temperatures. Mechanics of Materials 34 (2002) 145
38. Kang G., and Gao Q. Uniaxial and non-proportionally multiaxial ratcheting of U71Mn rail steel: experiments and simulations. Mechanics of Materials 34 (2002) 809
39. Lion A. Constitutive modeling in finite thermoviscoplasticity: a physical approach based on nonlinear rheological models. International Journal of Plasticity 16 (2000) 469
40. McDowell D.L. Stress state dependence of cyclic ratcheting behavior of two rail steels. International Journal of Plasticity 11 (1995) 397
41. Manonukul A., Dunne F.P.E., Knowles D., and Williams S. Multiaxial creep and cyclic plasticity in nickel-base superalloy C263. International Journal of Plasticity 21 (2005) 1
42. Nguyen, D.-T., 2006. Prediction des deformations permanentes des couches de surface des chaussées bitumineuses. These de docteur, Ecole Nationale des Ponts et Chaussées.
43. Ohno N., and Wang J.D. Kinematic hardening rules with critical state of dynamic recovery. International Journal of Plasticity 9 (1993) 375
44. Ohno N., Abdel-Karim M., Kobayashi M., and Igari T.D. Ratcheting characteristics of 316 FR steel at high temperature, part I: strain controlled ratcheting experiments and simulations. International Journal of Plasticity 14 (1998) 355
45. Portier L., Calloch S., Marquis D., and Geyer Ph. Ratcheting under tension-torsion loadings: experiments and modelling. International Journal of Plasticity 16 (2000) 303
46. Reese S., and Christ D. Finite deformation pseudo-elasticity of shape-memory alloys - constitutive modelling and finite-element implementation. International Journal of Plasticity (2007) 10.1016/j.ijplas.2007.05.005
47. Sai, K., 1993. Modèles à grand nombre de variables internes et methods numeriques associées. Ph.D. Thesis, Ecole Nationale Superieure des Mines de Paris, France.
48. Sai K., Aubourg V., Cailletaud G., and Strudel J.L. Physical basis for model with various inelastic mechanisms for nickel base superalloy. Materials Science and Technology 20 (2004) 747
49. Sai K., and Cailletaud G. Multi-mechanism models for the description of ratcheting: effect of the scale transition rule and of the coupling between hardening variables. International Journal of Plasticity 23 (2007) 1589
50. Saleeb A.F., and Arnold S.M. Specific hardening function definition and characterization of a multimechanism generalized potential-based viscoelastoplasticity model. International Journal of Plasticity 20 (2004) 111
51. Taheri S., and Lorentz E. An elastic-plastic constitutive law for the description of uniaxial and multiaxial ratcheting. International Journal of Plasticity 15 (1999) 1159
52. Taleb L., Cailletaud G., and Blaj L. Numerical simulation of complex ratcheting tests with a multi-mechanism model type. International Journal of Plasticity 22 (2006) 724
53. Taleb, L., Hassan, T., 2006. Influence of non proportionality on ratcheting response. In: Plasticity'06, 12th International Symposium on Plasticity and its Current Applications, 17-22 July, Halifax, Nova Scotia, Canada.
54. Voyiadjis G.Z., and Basuroychowdhury I.N. A plasticity model for multiaxial cyclic loading and ratcheting. Acta Mechanica 126 (1998) 19
55. Voyiadjis G.Z., and Abu Al-Rub R.K. Thermodynamic based model for the evolution equation of the backstress in cyclic plasticity. International Journal of Plasticity 19 (2003) 2121
56. Videau J.-Ch., Cailletaud G., and Pineau A. Modélisation des effets mécaniques des transformations de phases pour le calcul de structures. Journal de Physique IV Colloque C3 Supplément au Journal de Physique III 4 (1994) 227
57. Vincent L., Calloch S., and Marquis D. A general cyclic plasticity model taking into account yield surface distortion for multiaxial ratcheting. International Journal of Plasticity 20 (2004) 1817
58. Wolff M., Böhm M., and Helm D. Material behavior of steel - modeling of complex phenomena and thermodynamic consistency. International Journal of Plasticity 24 (2007) 746
59. Wulandana R., and Robertson A.M. A multi-mechanism constitutive model for the development of cerebral aneurysms. Biomech Modeling Mechanobiology 4 4 (2005) 235
60. Yaguchi M., and Takahashi Y. Ratcheting of viscoplastic material with cyclic softening, part 1: experiments on modified 9Cr-1Mo steel. International Journal of Plasticity 21 (2005) 43
61. Yaguchi M., and Takahashi Y. Ratcheting of viscoplastic material with cyclic softening, part 2: application of constitutive models. International Journal of Plasticity 21 (2005) 835
62. Yoshida F. A constitutive model of cyclic plasticity. International Journal of Plasticity 16 (2000) 359