Estimation of Residual Stress Change due to Cyclic Loading by Classical Elastoplasticity Model and Subloading Surface Model

Abstract:

The subloading surface model has been formulated and applied to the prediction of cyclic loading behavior. The material function prescribing elastic-plastic transition in the original subloading surface model has been extended so as to describe the inverse and reloading behavior and the strain accumulation in cyclic loading more accurately for steel. In the present paper, the extended subloading surface model was applied to the prediction of the change of the residual stress due to cyclic loading. The four-point cyclic bending test was performed for the specimen that had initial residual stress. The distributions of the residual stress before and after cyclic loading were measured by the X-ray stress measurement method. The simulation to the experiment was performed by the extended subloading surface model. The stress distribution after cyclic loading simulated by the extended subloading surface model was in good agreement with measured one, and was more accurate than that by the nonlinear isotropic/kinematic hardening model.

• Periodical: Key Engineering Materials (Volume 725)
• Pages: 281-286
• DOI: https://doi.org/10.4028/www.scientific.net/KEM.725.281
• Online since: December 2016
• Authors: Ryota Higuchi*, Kazuo Okamura
• Keywords: Cyclic Loading, Elastoplasticity, Residual Stress, Subloading Surface Model

References

[1] Z. Mroz, On the description of anisotropic workhardening, Journal of the Mechanics and Physics of Solids, 15 (1967), 163-175.

[2] Y.F. Dafalias and E.P. Popov, A model of nonlinearly hardening materials for complex loading, Acta Mechanica, 23 (1975), 173-192.

DOI: 10.1007/bf01181053

[3] F. Yoshida and T. Uemori, Elastic-plastic behavior of steel sheets under in-plane cyclic tension-compression at large strain, International Journal of Plasticity, 18 (2002), 633-659.

DOI: 10.1016/s0749-6419(01)00049-3

[4] J.L. Chaboche, K. Dang-Van and G. Cordier, Modelization of the strain memory effect on the cyclic hardening of 316 stainless steel, Transactions of the 5th International Conference of SMiRT, Berlin, Division L., Paper No.L. 11/3 (1979).

[5] N. Ohno and J.D. Wang, Kinematic hardening rules with critical state of dynamic recovery, Part I: Formulation and basic features for ratcheting behavior, International Journal of Plasticity, 9 (1993), 375-390.

DOI: 10.1016/0749-6419(93)90042-o

[6] K. Hashiguchi, Elastoplasticity Theory, second ed., Springer, (2013).

[7] R. Higuchi, K. Okamura, F. Ohta and K. Hashiguchi, Extension of subloading surface model for accurate prediction of elastoplastic deformation behavior of metals with cyclic softening, Transactions of JSME (in Japanese), 80 (2014).

DOI: 10.1299/transjsme.2014smm0082

[8] American Petroleum Institute, API Specification 5CT/ISO 11960: 2004, Specification for casing and tubing (2005).

[9] Dassautl Systemes, Abaqus Analysis User's Manual ver. 6. 12.