On the Theory of Shock Waves in Isotropic Hardening Plastic Media
- 作者: Sadovskii V.1
-
隶属关系:
- Institute of Computational Modelling SB RAS
- 期: 卷 87, 编号 2 (2023)
- 页面: 254-264
- 栏目: Articles
- URL: https://journals.rcsi.science/0032-8235/article/view/138856
- DOI: https://doi.org/10.31857/S0032823523020133
- EDN: https://elibrary.ru/UAWXSW
- ID: 138856
如何引用文章
详细
Based on the thermomechanical model of plastic deformation of an elastically compressible isotropic hardening medium, the system of relations for describing plastic shock waves of finite amplitude is obtained, which satisfies the maximum entropy production principle at the front of strong discontinuity. A classification of admissible shock-wave transitions is performed within the framework of the model of isotropic hardening under the von Mises plasticity condition.
作者简介
V. Sadovskii
Institute of Computational Modelling SB RAS
编辑信件的主要联系方式.
Email: sadov@icm.krasn.ru
Russia, Krasnoyarsk
参考
- Bykovtsev G.I., Kretova L.D. Shock wave propagation in elastic-plastic media // JAMM, 1972, vol. 36, no. 1, pp. 94–103.
- Burenin A.A., Bykovtsev G.I., Rychkov V.A. Surfaces of velocity discontinuities in the dynamics of irreversibly compressible media // Problems of Continuum Mechanics (Problemy mekhaniki sploshnyh sred: Sb. nauch. tr.). Vladivostok: IACP FEB RAS, 1996. pp. 116–127. (in Russian)
- Burenin A.A., Dudko O.V., Semenov K.T. Conditions for the existence of discontinuity surfaces of irreversible strains in elastoplastic media // J. Appl. Mech. Tech. Phys., 2009, vol. 50, no. 5, pp. 878–885.
- Sadovskii V.M. Discontinuous Solutions in Dynamic Elastic-Plastic Problems. Moscow: Fizmatlit, 1997. 208 p. (in Russian)
- Sadovskii V.M. Toward a theory of the propagation of elastoplastic waves in strain-hardening media // J. Appl. Mech. Tech. Phys., 1994, vol. 35, no. 5, pp. 798–804.
- Sadovskii V.M. Elastoplastic waves of strong discontinuity in linearly hardening media // Mech. Solids, 1997, vol. 32, no. 6, pp. 88–94.
- Kulikovskii A.G. Multi-parameter fronts of strong discontinuities in continuum mechanics // J. Appl. Math. Mech., 2011, vol. 75, no. 4, pp. 378–389.
- Kulikovskii A.G., Chugainova A.P. Shock waves in elastoplastic media with the structure defined by the stress relaxation process // Proc. Steklov Inst. Math., 2015, vol. 289, pp. 167–182.
- Kulikovskii A.G., Chugainova A.P. Study of discontinuities in solutions of the Prandtl–Reuss elastoplasticity equations // Comput. Math. Math. Phys., 2016, vol. 56, no. 4, pp. 637–649.
- Sadovskii V.M. To the analysis of the structure of finite-amplitude transverse shock waves in a plastic medium // Mech. Solids, 2003, vol. 38, no. 6, pp. 31–39.
- Sadovskii V.M. On the theory of shock waves in compressible plastic media // Mech. Solids, 2001, vol. 36, no. 5, pp. 67–74.
- Mosolov P.P., Myasnikov V.P. Mechanics of Rigid-Plastic Media. Moscow: Nauka, 1981. 208 p. (in Russian)
- Kanel G.I., Razorenov S.V., Utkin A.V., Fortov V.E. Experimental Profiles of Shock Waves in Condensed Matter. Moscow: Fizmatlit, 2008. 248 p. (in Russian)
- Kanel G.I. Shock Waves in Solid State Physics. Moscow: Fizmatlit, 2018. 208 p. (in Russian)
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