14
I. A. Volkov et al.
Fig. 1.9 Fatigue curve for stainless steel
1.4 Conclusion
To describe the fatigue life of polycrystalline structural alloys under block-type asymmetric low-cycle loading, the assessment of the reliability of the constitutive equations of MDM has been carried out by comparing the results of numerical experiments
with experimental data on plastic deformation and damage accumulation in stainless
steels (SS304, 12X18H9) that confirmed the accuracy of modeling and determining
material parameters.
Acknowledgements The reported study was funded by RFBR, project numbers 18-08-00881,
20-08-00450.
References
Abali, B. E., Muller, W., & dell’Isola, F. (2017). Theory and computation of higher gradient elasticity
theories based on action principles. Archive of Applied Mechanics, 87, 1495–1510.
Alibert, J. J., Seppecher, P., & dell’Isola, F. (2003). Truss modular beams with deformation energy
depending on higher displacement gradients. Mathematics and Mechanics of Solids, 8, 51–73.
Auffray, N., dell’Isola, F., Eremeyev, V., Madeo, A., & Rosi, G. (2013). Analytical continuum
mechanics à la Hamilton-Piola: Least action principle for second gradient continua and capillary
fluids. Mathematics and Mechanics of Solids.
Barchiesi, E., Spagnuolo, M., & Placidi L. (2018). Mechanical metamaterials: A state of the art.
Mathematics and Mechanics of Solids.
Bodner S. R., & Lindholm, U. S. (1976). Kriterii prirashcheniia povrezhdeniia dlia zavisiashchego
ot vremeni razrusheniia materialov. Trudy Amer. ob-va inzh.-mekh. Ser. D. Teoret. osnovy inzh.
Raschetov, 100(2), 51–58.
Bondar, V. S., & Danshin V. V. (2008) Plastichnost. Proportsionalnye i neproportsionalnye
nagruzheniya. (in Rus.) M.: Fizmatlit. – 176 s.
I. A. Volkov et al.
Fig. 1.9 Fatigue curve for stainless steel
1.4 Conclusion
To describe the fatigue life of polycrystalline structural alloys under block-type asymmetric low-cycle loading, the assessment of the reliability of the constitutive equations of MDM has been carried out by comparing the results of numerical experiments
with experimental data on plastic deformation and damage accumulation in stainless
steels (SS304, 12X18H9) that confirmed the accuracy of modeling and determining
material parameters.
Acknowledgements The reported study was funded by RFBR, project numbers 18-08-00881,
20-08-00450.
References
Abali, B. E., Muller, W., & dell’Isola, F. (2017). Theory and computation of higher gradient elasticity
theories based on action principles. Archive of Applied Mechanics, 87, 1495–1510.
Alibert, J. J., Seppecher, P., & dell’Isola, F. (2003). Truss modular beams with deformation energy
depending on higher displacement gradients. Mathematics and Mechanics of Solids, 8, 51–73.
Auffray, N., dell’Isola, F., Eremeyev, V., Madeo, A., & Rosi, G. (2013). Analytical continuum
mechanics à la Hamilton-Piola: Least action principle for second gradient continua and capillary
fluids. Mathematics and Mechanics of Solids.
Barchiesi, E., Spagnuolo, M., & Placidi L. (2018). Mechanical metamaterials: A state of the art.
Mathematics and Mechanics of Solids.
Bodner S. R., & Lindholm, U. S. (1976). Kriterii prirashcheniia povrezhdeniia dlia zavisiashchego
ot vremeni razrusheniia materialov. Trudy Amer. ob-va inzh.-mekh. Ser. D. Teoret. osnovy inzh.
Raschetov, 100(2), 51–58.
Bondar, V. S., & Danshin V. V. (2008) Plastichnost. Proportsionalnye i neproportsionalnye
nagruzheniya. (in Rus.) M.: Fizmatlit. – 176 s.