Abstract:
Zhurkov and Kauzmann rheological bodies, reflecting the physical regularities of plastic deformation of materials, are studied. Solutions of differential equations of flow for composite rheological bodies are obtained. Examples of using structural models of materials that consist of new rheological bodies and describe the inelastic behavior of alloys for various types of temperature-force loading are given. The obtained solutions of the differential equations are used for analysis of the creep of a structurally unstable alloy.
Citation:
M. G. Petrov, “Rheological properties of materials from the point of view of physical kinetics”, Prikl. Mekh. Tekh. Fiz., 39:1 (1998), 119–128; J. Appl. Mech. Tech. Phys., 39:1 (1998), 104–112
\Bibitem{Pet98}
\by M.~G.~Petrov
\paper Rheological properties of materials from the point of view of physical kinetics
\jour Prikl. Mekh. Tekh. Fiz.
\yr 1998
\vol 39
\issue 1
\pages 119--128
\mathnet{http://mi.mathnet.ru/pmtf3231}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 1998
\vol 39
\issue 1
\pages 104--112
\crossref{https://doi.org/10.1007/BF02468005}
Linking options:
https://www.mathnet.ru/eng/pmtf3231
https://www.mathnet.ru/eng/pmtf/v39/i1/p119
This publication is cited in the following 8 articles:
Mark Petrov, “Fracturing of Solids as a Thermodynamic Process”, Alloys, 2:3 (2023), 122
M. G. Petrov, ACTUAL PROBLEMS OF CONTINUUM MECHANICS: EXPERIMENT, THEORY, AND APPLICATIONS, 2504, ACTUAL PROBLEMS OF CONTINUUM MECHANICS: EXPERIMENT, THEORY, AND APPLICATIONS, 2023, 030043
Mark Petrov, “An Interdisciplinary Approach to Fracture of Solids from the Standpoint of Condensed Matter Physics”, Adv. sci. technol. eng. syst. j., 7:2 (2022), 133
M. G. Petrov, INTERNATIONAL CONFERENCE ON THE METHODS OF AEROPHYSICAL RESEARCH (ICMAR 2020), 2351, INTERNATIONAL CONFERENCE ON THE METHODS OF AEROPHYSICAL RESEARCH (ICMAR 2020), 2021, 030008
M. G. Petrov, “Investigation of the longevity of materials on the basis of the kinetic concept of fracture”, J. Appl. Mech. Tech. Phys., 62:1 (2021), 145–156
Mark Petrov, V. Fomin, L. Placidi, “Numerical simulation of fatigue failure of composite materials under compression”, EPJ Web Conf., 221 (2019), 01040
A.V. Shutov, J. Ihlemann, “A viscoplasticity model with an enhanced control of the yield surface distortion”, International Journal of Plasticity, 39 (2012), 152
A.V. Shutov, S. Panhans, R. Kreißig, “A phenomenological model of finite strain viscoplasticity with distortional hardening”, Z Angew Math Mech, 91:8 (2011), 653
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