For citation:
Kossovich L. Y., Kirillova I. V. To 60th anniversary of professor Yuri N. Radayev. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2022, vol. 22, iss. 2, pp. 266-273. DOI: 10.18500/1816-9791-2022-22-2-266-273, EDN: ANSNBK
This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online:
31.05.2022
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Language:
Russian
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Article type:
Personalia
UDC:
539.3
EDN:
ANSNBK
To 60th anniversary of professor Yuri N. Radayev
Autors:
Kossovich Leonid Yurevich, Saratov State University
Kirillova Irina V., Saratov State University
Abstract:
The article is dedicated to the 60th anniversary of professor Yu. N. Radaev, the well-known scientist in the field of mechanics of deformable solids and applied mathematics, the member of the editorial board of the journal “Izvestiya of Saratov University. Mathematics. Mechanics. Informatics”.
References:
- Arutyunyan N. Kh., Radayev Yu. N. Elastoplastic torsion of a cylindrical rod for finite deformations. Journal of Applied Mathematics and Mechanics, 1989, vol. 53, iss. 6, pp. 804–811. https://doi.org/10.1016/0021-8928(89)90090-7
- Radayev Y. N., Murakami S., Hayakawa K. Mathematical description of anisotropic damage state in continuum damage mechanics. Transactions of the Japan Society of Mechanical Engineers Series A, 1994, vol. 60, no. 580, pp. 2750–2758. https://doi.org/10.1299/kikaia.60.2750
- Radayev Y. N. Thermodynamical model of anisotropic damage growth. Part I. Canonical dynamic state variables of continuum damage mechanics and thermodynamical functions of three-dimensional anisotropic damage state. Journal of Non-Equilibrium Thermodynamics, 1996, vol. 21, no. 2, pp. 129–152.
- Radayev Y. N. Thermodynamical model of anisotropic damage growth. Part II. Canonical damage growth rate equations and theory of damage invariants. Journal of Non-Equilibrium Thermodynamics, 1996, vol. 21, no. 3, pp. 197–222.
- Radayev Y. N., Stepanova L. V. On the effect of the residual stresses on the crack opening displacement in a cracked sheet. International Journal of Fracture, 2001, vol. 107, no. 4, pp. 329–360. https://doi.org/10.1023/A:1007686929863
- Radayev Y. N. On directional average of the local anisotropic damage. International Journal of Fracture, 2004, vol. 128, no. 1, pp. 293–307. https://doi.org/10.1023/B:FRAC.0000040993.88107.c5
- Yarovoy G. P., Radayev Yu. N. On a new reading of the “Principia Mathematica” by A. Whitehead and B. Russell. Vestnik of Samara University. Natural Science Series, 2004, no. 4 (34), pp. 5–19 (in Russian).
- Whitehead A. N., Russell B. Principia Mathematica : in 3 vols. / trans. from English Yu. N. Radaev, I. S. Frolov; ed. by G. P. Yarovoy, Yu. N. Radaev. Samara, Samara State University Publ., 2005. Vol. 1. 722 p.; 2006. Vol. 2. 738 p.; 2006. Vol. 3. 460 p. (in Russian).
- Kovalev V. A., Radayev Y. N. Elements of Field Theory: Variational Symmetries and Geometric Invariants. Moscow, Fizmatlit, 2009. 156 p. (in Russian).
- Kovalev V. A., Radayev Y. N. Wave Problems of the Field Theory and Thermomechanics. Saratov, Saratov University Press, 2010. 328 p. (in Russian).
- Kovalev V. A., Radaev Y. N. Three-dimensional constitutive relations of ideal plasticity and the flow on the Coulomb – Tresca prism edge. Mechanics of Solids, 2010, vol. 45, no. 2, pp. 295–308. https://doi.org/10.3103/S0025654410020159
- Radayev Yu. N., Taranova M. V. Wavenumbers of type III thermoelastic waves in a long waveguide under sidewall heat interchanging. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2011, no. 2 (23), pp. 53–61 (in Russian). https://doi.org/10.14498/vsgtu965
- Kovalev V. A., Radaev Y. N. Forms of null Lagrangians in field theories of continuum mechanics. Mechanics of Solids, 2012, vol. 47, no. 1, pp. 137–154. https://doi.org/10.3103/S002565441201013X
- Radaev Y. N. Asymptotic axes of stress tensors and strain increment tensors in mechanics of compressible continua. Mechanics of Solids, 2013, vol. 48, no. 5, pp. 546–552. https://doi.org/10.3103/S0025654413050105
- Kovalev V. A., Radayev Yu. N. On a form of the first variation of the action integral over a varied domain. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2014, vol. 14, iss. 2, pp. 199–209 (in Russian). https://doi.org/10.18500/1816-9791-2014-14-2-199-209
- Kovalev V. A., Radayev Yu. N. On nonlinear strain vectors and tensors in continuum theories of mechanics. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2014, no. 1 (34), pp. 66–85 (in Russian). https://doi.org/10.14498/vsgtu1310
- Murashkin E. V., Radayev Yu. N. On strong and weak discontinuities of the coupled thermomechanical field in micropolar thermoelastic type-II continua. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2014, no. 4 (37), pp. 85–97 (in Russian). https://doi.org/10.14498/vsgtu1331
- Murashkin E. V., Radayev Y. N. On a classification of weak discontinuities in micropolar thermoelasticity. Materials Physics and Mechanics, 2015, vol. 23, no. 1, pp. 10–13.
- Kovalev V. A., Murashkin E. V., Radayev Yu. N. On weak discontinuities and jump equations on wave surfaces in micropolar thermoelastic continua. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2015, vol. 15, iss. 1, pp. 79–89 (in Russian). https://doi.org/10.18500/1816-9791-2015-15-1-79-89
- Radayev Yu. N., Kovalev V. A. Hyperbolic theories and problems of continuum mechanics. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2015, vol. 19, no. 1, pp. 186–202 (in Russian). https://doi.org/10.14498/vsgtu1412
- Kovalev V. A., Radayev Yu. N. On rationally complete algebraic systems of finite strain tensors of complex continua. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2017, vol. 17, iss. 1, pp. 71–84 (in Russian). https://doi.org/10.18500/1816-9791-2017-17-1-71-84
- Murashkin E. V., Radayev Y. N. Analytical solution of cylindrical wave problem in the frameworks of micropolar elasticity. Journal of Physics: Conference Series, 2017, vol. 937, no. 1, Art. 012031. https://doi.org/10.1088/1742-6596/937/1/012031
- Kovalev V., Murashkin E., Radayev Y. On a physical field theory of micropolar thermoelasticity. Journal of Physics: Conference Series, 2017, vol. 788, no. 1, Art. 012043. https://doi.org/10.1088/1742-6596/788/1/012043
- Murashkin E. V., Radayev Y. N. On thermodynamics of wave processes of heat transport. Advanced Structured Materials, 2017, vol. 46, pp. 363–376. https://doi.org/10.1007/978-3-319-56050-2_21
- Murashkin E. V., Radayev Y. N. Full thermomechanical coupling in modelling of micropolar thermoelasticity. Journal of Physics: Conference Series, 2018, vol. 991, no. 1, Art. 012061. https://doi.org/10.1088/1742-6596/991/1/012061
- Radayev Yu. N. Instantaneously not elongated directors in three-dimensional kinematics of the Coulomb – Mohr medium. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2018, vol. 18, iss. 4, pp. 467–483 (in Russian). https://doi.org/10.18500/1816-9791-2018-18-4-467-483
- Radayev Yu. N. Asymmetric tensor representations in micropolar continuum mechanics theories. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2019, vol. 23, no. 2, pp. 246–255. https://doi.org/10.14498/vsgtu1669
- Kovalev V. A., Radayev Yu. N. On wave solutions of dynamic equations of hemitropic micropolar thermoelasticity. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2019, vol. 19, iss. 4, pp. 454–463 (in Russian). https://doi.org/10.18500/1816-9791-2019-19-4-454-463
- Radayev Y. N., Kovalev V. A. On plane thermoelastic waves in hemitropic micropolar continua Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2019, vol. 23, no. 3, pp. 464–474. https://doi.org/10.14498/vsgtu1689
- Murashkin E. V., Radayev Yu. N. On a differential constraint in the continuum theory of growing solids. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2019, vol. 23, no. 4, pp. 646–656. https://doi.org/10.14498/vsgtu1696
- Murashkin E. V., Radayev Yu. N. On a micropolar theory of growing solids. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2020, vol. 24, no. 3, pp. 424–444. https://doi.org/10.14498/vsgtu1792
- Radayev Y. N. Kinematic equations along characteristics in compressible flows on the facets of an arbitrary piecewise linear yield criterion. Mechanics of Solids, 2020, vol. 55, no. 5, pp. 737–740. https://doi.org/10.3103/S0025654420300032
- Kovalev V. A., Murashkin E. V., Radayev Y. N. On the Neuber theory of micropolar elasticity. A pseudotensor formulation. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2020, vol. 24, no. 4, pp. 752–761. https://doi.org/10.14498/vsgtu1799
- Radayev Yu. N., Murashkin E. V. Pseudotensor formulation of the mechanics of hemitropic micropolar media. Problemy prochnosti i plastichnosti [Problems of Strength and Plasticity], 2020, vol. 82, no. 4, pp. 399–412 (in Russian). https://doi.org/10.32326/1814-9146-2020-82-4-399-412
- Radayev Yu. N. On modelling harmonic waves in linear micropolar elastic media by four screw fields. Bulletin of the Yakovlev Chuvash State Pedagogical University. Series: Mechanics of Limit State, 2020, no. 2 (44), pp. 27–36 (in Russian). https://doi.org/10.37972/chgpu.2020.44.2.003
- Murashkin E. V., Radayev Y. N. Generalization of the algebraic Hamilton – Cayley theory. Mechanics of Solids, 2021, vol. 56, no. 6, pp. 996–1003. https://doi.org/10.3103/S0025654421060145
- Murashkin E. V., Radayev Yu. N. Direct, inverse and mirror wave modes of coupled displacements and microrotations monochromatic plane waves in hemitropic micropolar media. Bulletin of the Yakovlev Chuvash State Pedagogical University. Series: Mechanics of Limit State, 2021, no. 2 (48), pp. 115–127 (in Russian). https://doi.org/10.37972/chgpu.2021.48.2.014
- Murashkin E. V., Radayev Yu. N. On the constitutive pseudoscalars of hemitropic micropolar media in inverse coordinate frames. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2021, vol. 25, no. 3, pp. 457–474 (in Russian). https://doi.org/10.14498/vsgtu1870
Received:
05.12.2021
Accepted:
27.12.2021
Published:
31.05.2022
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