PSI - Issue 42

D.I. Fedorenkov et al. / Procedia Structural Integrity 42 (2022) 537–544 Author name / Structural Integrity Procedia 00 (2019) 000 – 000

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6. Conclusions The exponential isotropic hardening law, Armstrong-Frederick kinematic hardening low, and Lemaitre damage accumulation models has been realized as generalized model. Proposed algorithm makes it possible to evaluate the fatigue resistance characteristics. The model was implemented into ANSYS software as a dynamically linked library. The source code of the model can be easily incorporated into other finite element packages. A method for identifying material parameters using only two standard uniaxial tensile and low-cycle fatigue test results has been developed. The obtained parameters of generalized model were verified using the 25Cr1Mo1V steel under cyclic loading by numerical calculations. The methodology is valid for all alloys whose behavior patterns can be described by the equations embedded in the model representations. The proposed methodology has been demonstrated to apply the 25Cr1Mo1V steel behavior and doesn ’ t limit the scope of the methodology. References Aygün S., Wiegold T., Klinge S., 2021. Coupling of the phase field approach to the Armstrong-Frederick model for the simulation of ductile damage under cyclic load. Int. J. Plast. 143. Azinpour E., Ferreira J.P.S., Parente M.P.L. et al., 2018. A simple and unified implementation of phase field and gradient damage models. Adv. Model. and Simul. in Eng. Sci (1), 15 p. Chaboche J.L., 1988. Continuum damage mechanics: part 1 — general concepts. J Appl Mech., 55-59. Chaboche J.L., 1988. Continuum damage mechanics: part II — damage growth, crack initiation, and crack growth. J Appl. Mech., 55-65. Chaboche J.L., 1991. On some modifications of kinematic hardening to improve the description of ratchetting effects. Int. J. Plast. 7(7), 661 – 678. Chaboche J.L., Lemaitre J., 1994. Mechanics of Solid Materials. Cambridge University Press. Cambridge, pp. 556p. Coppieters S., Kuwabara T., 2014. Identification of post-necking hardening phenomena in ductile sheet metal. Exp. Mech. 54, 1355 – 1371. Dafalias Y.F., Kourousis K.I., Saridis G.J., 2008. Multiplicative AF kinematic hardening in plasticity. Int. J. Solids Struct 45(10), 2861 – 2880. De Souza Neto, E., Peric D., Owen D., 2008. Computational Methods for Plasticity: Theory and Applications. Wiley, pp. 816. Frederick C.O., Armstrong P.J., 2007. A mathematical representation of the multiaxial Bauschinger effect. Mater. High Temp. 24(1), 1 – 26. Gurson A. L., 1977. Continuum Theory of Ductile Rupture by Void Nucleation and Growth: Part I – Yield Criteria and Flow Rules for Porous Ductile Media. ASME. J. Eng. Mater. Technol. 99(1), 2 – 15. Ishlinskii A. Yu., 1954. General theory of plasticity with linear strain hardening. Ukr. Mat. Zh. Vol. 6(3), 314 – 325. Kachanov L.M., 1958. Time of the Rupture Process under Creep Condition. Izv. Akad. Nauk. SSSR, Otd. Tekhn. Nauk., 26 – 31. Lemaitre J., 1985. A continuous damage mechanics model for ductile fracture. J Eng Mater Technol. 107(1), 83-89. Lemaitre J., Desmorat R., Sauzay M., 2000. Anisotropic Damage Law of Evolution. Eur. J. Mech. A/Solids 19, 187 – 208. Mahmoudi A.H., Pezeshki-Najafabadi S.M., Badnava H., 2011. Parameter determination of Chaboche kinematic hardening model using a multi objective Genetic Algorithm. Computational Materials Science 50(3), 1114-1122. Marquis D., Lemaitre J., 1988. Constitutive Equations for the Coupling Between Elasto-plasticity Damage and Ageing. Rev. Phys. Applic. 23, 615 – 624. Murakami S., Ohno N., 1980. A Continuum Theory of Creep and Creep Damage. Proceedings of the IUTAM Symposium on Creep in Structures, Leicester of: Ponter. A.R.S. Springer, 422-443. Peroni M., Solomos G., 2019. Advanced experimental data processing for the identification of thermal and strain-rate sensitivity of a nuclear steel. J. Dyn. Behav. Mater. 5, 251 – 265. Prager W., 1956. A New Method of Analyzing Stresses and Strains in Work-Hardening Plastic Solids. J. Appl. Mech. 23(4), 493 – 496. Rabotnov Y.N., 1963. On the Equation of State of Creep. Proceedings of the Institution of Mechanical Engineers. Conference Proceedings 178(1), 2-122. Tvergaard V., Needleman A., 1984. Analysis of the cup-cone fracture in a round tensile bar. Acta Metallurgica 32(1), 157-169. Wójcik M., Skrzat A., 2021. Identification of Chaboche – Lemaitre combined isotropic – kinematic hardening model parameters assisted by the fuzzy logic analysis. Acta Mech. 232, 685 – 708. Ellyin F., 1997. Fatigue Damage, Crack Growth and Life Prediction. Springer, Dordrecht, pp. 483. Eslami M.R., Mahbadi H., 2001. Cyclic loading of thermal stresses. J. Therm. Stress. 24(6), 577 – 603.