1 Modeling Fatigue Life of Structural Alloys Under Block Asymmetric Loading
15
Chaboche, J. L. (1989). Constitutive equation for cyclic plasticity and cyclic viscoplasticity.
International Journal of Plasticity, 5(3), 247–302.
Del Vescovo, D., & Giorgio, I. (2014). Dynamic problems for metamaterials: Review of existing
models and ideas for further research. International Journal of Engineering Science, 80, 153–172.
dell’Isola, F., Della, C. A., & Giorgio, I. (2017). Higher-gradient continua: The legacy of Piola,
Mindlin, Sedov and Toupin and some future research perspectives. Mathematics and Mechanics
of Solids, 22, 852–872.
dell’Isola, F., Seppecher, P., Alibert, J. J., Lekszycki, T., Grygoruk, R., Pawlikowski, M., et al.
(2019). Pantographic metamaterials: An example of mathematically driven design and of its
technological challenges. Continuum Mechanics and Thermodynamics, 31(4), 851–884.
dell’Isola, F., Seppecher, P., & Madeo, A. (2012). How contact interactions may depend on the
shape of Cauchy cuts in Nth gradient continua: Approach “à la D’Alembert.” Zeitschrift für
Angewandte Mathematik und Physik, 63, 1119–1141.
dell’Isola, F., Andreaus, U., & Placidi, L. (2015). At the origins and in the vanguard of peridynamics, non-local and higher gradient continuum mechanics. An underestimated and still
topical contribution of Gabrio Piola. Mathematics and Mechanics of Solids, 20, 887–928.
Guozheng, K., Qing, G., Lixun, C., & Yafang, S. (2002). Experimental study on uniaxial and
nonproportionally multiaxial ratcheting of SS304 stainless steel at room and high temperatures.
Nuclear Engineering and Design, 216, 13–26.
Hassan, T., Taleb, L., & Krishna, S. (2008). Influence of non-proportional loading on ratcheting responses and simulations by two recent cyclic plasticity models. International Journal
of Plasticity, 24, 1863–1889.
Huang, Z. Y., Chaboche, J. L., Wang, Q. Y., Wagner, D., & Bathias C. (2014). Effect of dynamic
strain aging on isotropic hardening in low cycle fatigue for carbon manganese steel. Materials
Science and Engineering, A589, 34–40.
Jiang, Y., & Zhang, J. (2008). Benchmark experiments and characteristic cyclic plasticity
deformation. International Journal of Plasticity, 24, 1481–1515.
Kollinz, G. (1984). Povrezhdeniye materialov v konstructsiyakh. Analiz. Predskazaniye.
Predotvrashcheniye. M.: Mir.
Korotkikh, Yu. G., Volkov, I. A., Igumnov, L. A., Shishulin, D. N., & Guseva, M. A. (2016).
Modelirovanie slozhnogo plasticheskogo deformirovaniya i nakopleniya ustalostnyh povrezhdenij v zharoprochnyh splavah pri kombinirovannom termomekhanicheskom nagruzhenii (in
Rus). Vol. 78. No. 1. P. 45–59.
Korotkikh, Yu. G., Volkov, I. A., Igumnov, L. A., Shishulin, D. N., & Tarasov, I. S. (2015).
Modelirovanie processov neuprugogo deformirovaniya i razrusheniya zharoprochnyh splavov
pri ciklicheskom termomekhanicheskom nagruzhenii (in Rus). Vol. 77. No.4. P. 329–343.
Lamba, S. (1978). Plastichnost pri tsiklicheskom nagruzhenii po neproportsionalnym traektoriyam
(in Rus.). Teoreticheskiye osnovy inzhenernyh raschetov, 100(1), 108–126.
Lemaitre, G. (1985) Kontinualnaya model povrezhdeniya, ispolzuemaya dlya rascheta razrusheniya
plastichnykh materialov. Trudy Amer. ob-va inzh.-mekh. Ser. D. Teoret. osnovy inzh. Raschetov,
107(1), 90–98.
Macdowell. (1985). Eksperimentalnoye izucheniye struktury opredelyayushih uravneniy dlya
neproportsionalnoy tsiklicheskoy plastichnosti (in Rus.). Teoreticheskiye osnovy inzhenernyh
raschetov (4), 98–111.
Mackenzie, J. K. (1950). The elastic constants of a solid containing spherical holes. Proceedings
of the Physical Society. Section B, 63(2).
Misra, A., & Poorsolhjouy, P. (2015). Granular micromechanics model for damage and plasticity
of cementitious materials based upon thermomechanics. Mathematics and Mechanics of Solids.
Misra, A., & Singh, V. (2015). Thermomechanics-based nonlinear rate-dependent coupled damageplasticity granular micromechanics model. Continuum Mechanics and Thermodynamics, 27, 787–
817.
Mitenkov, F. M., Kaydalov, V. B., & Korotkikh, Yu. G. i dr. (2007). Metody obosnovaniya resursa
YaEU.(in Rus.) – M.: Mashinostroyeniye, 2007. – 445s.
15
Chaboche, J. L. (1989). Constitutive equation for cyclic plasticity and cyclic viscoplasticity.
International Journal of Plasticity, 5(3), 247–302.
Del Vescovo, D., & Giorgio, I. (2014). Dynamic problems for metamaterials: Review of existing
models and ideas for further research. International Journal of Engineering Science, 80, 153–172.
dell’Isola, F., Della, C. A., & Giorgio, I. (2017). Higher-gradient continua: The legacy of Piola,
Mindlin, Sedov and Toupin and some future research perspectives. Mathematics and Mechanics
of Solids, 22, 852–872.
dell’Isola, F., Seppecher, P., Alibert, J. J., Lekszycki, T., Grygoruk, R., Pawlikowski, M., et al.
(2019). Pantographic metamaterials: An example of mathematically driven design and of its
technological challenges. Continuum Mechanics and Thermodynamics, 31(4), 851–884.
dell’Isola, F., Seppecher, P., & Madeo, A. (2012). How contact interactions may depend on the
shape of Cauchy cuts in Nth gradient continua: Approach “à la D’Alembert.” Zeitschrift für
Angewandte Mathematik und Physik, 63, 1119–1141.
dell’Isola, F., Andreaus, U., & Placidi, L. (2015). At the origins and in the vanguard of peridynamics, non-local and higher gradient continuum mechanics. An underestimated and still
topical contribution of Gabrio Piola. Mathematics and Mechanics of Solids, 20, 887–928.
Guozheng, K., Qing, G., Lixun, C., & Yafang, S. (2002). Experimental study on uniaxial and
nonproportionally multiaxial ratcheting of SS304 stainless steel at room and high temperatures.
Nuclear Engineering and Design, 216, 13–26.
Hassan, T., Taleb, L., & Krishna, S. (2008). Influence of non-proportional loading on ratcheting responses and simulations by two recent cyclic plasticity models. International Journal
of Plasticity, 24, 1863–1889.
Huang, Z. Y., Chaboche, J. L., Wang, Q. Y., Wagner, D., & Bathias C. (2014). Effect of dynamic
strain aging on isotropic hardening in low cycle fatigue for carbon manganese steel. Materials
Science and Engineering, A589, 34–40.
Jiang, Y., & Zhang, J. (2008). Benchmark experiments and characteristic cyclic plasticity
deformation. International Journal of Plasticity, 24, 1481–1515.
Kollinz, G. (1984). Povrezhdeniye materialov v konstructsiyakh. Analiz. Predskazaniye.
Predotvrashcheniye. M.: Mir.
Korotkikh, Yu. G., Volkov, I. A., Igumnov, L. A., Shishulin, D. N., & Guseva, M. A. (2016).
Modelirovanie slozhnogo plasticheskogo deformirovaniya i nakopleniya ustalostnyh povrezhdenij v zharoprochnyh splavah pri kombinirovannom termomekhanicheskom nagruzhenii (in
Rus). Vol. 78. No. 1. P. 45–59.
Korotkikh, Yu. G., Volkov, I. A., Igumnov, L. A., Shishulin, D. N., & Tarasov, I. S. (2015).
Modelirovanie processov neuprugogo deformirovaniya i razrusheniya zharoprochnyh splavov
pri ciklicheskom termomekhanicheskom nagruzhenii (in Rus). Vol. 77. No.4. P. 329–343.
Lamba, S. (1978). Plastichnost pri tsiklicheskom nagruzhenii po neproportsionalnym traektoriyam
(in Rus.). Teoreticheskiye osnovy inzhenernyh raschetov, 100(1), 108–126.
Lemaitre, G. (1985) Kontinualnaya model povrezhdeniya, ispolzuemaya dlya rascheta razrusheniya
plastichnykh materialov. Trudy Amer. ob-va inzh.-mekh. Ser. D. Teoret. osnovy inzh. Raschetov,
107(1), 90–98.
Macdowell. (1985). Eksperimentalnoye izucheniye struktury opredelyayushih uravneniy dlya
neproportsionalnoy tsiklicheskoy plastichnosti (in Rus.). Teoreticheskiye osnovy inzhenernyh
raschetov (4), 98–111.
Mackenzie, J. K. (1950). The elastic constants of a solid containing spherical holes. Proceedings
of the Physical Society. Section B, 63(2).
Misra, A., & Poorsolhjouy, P. (2015). Granular micromechanics model for damage and plasticity
of cementitious materials based upon thermomechanics. Mathematics and Mechanics of Solids.
Misra, A., & Singh, V. (2015). Thermomechanics-based nonlinear rate-dependent coupled damageplasticity granular micromechanics model. Continuum Mechanics and Thermodynamics, 27, 787–
817.
Mitenkov, F. M., Kaydalov, V. B., & Korotkikh, Yu. G. i dr. (2007). Metody obosnovaniya resursa
YaEU.(in Rus.) – M.: Mashinostroyeniye, 2007. – 445s.