Geodesic
On the $60^{\rm th}$ anniversary of Prof. Yuri N.~Radayev
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 26 (2022) no. 2, pp. 207-221.

Voir la notice de l'article provenant de la source Math-Net.Ru

February 10, 2022 the famous scientist in mechanics of solids and applied mathematics, teacher, organizer of science and higher education in Russia Yuri N. Radayev is celebrating his $60^{\rm th}$ anniversary. Yuri N. Radayev is known as a prominent scientist in the field of mechanics and applied mathematics. The principal directions of his academic activity are the Mathematical Theory of Plasticity, Fracture Mechanics, the Theory of Cracks and Microdamages, Coupled Hyperbolic Thermoelasticity and Thermomechanics, Micropolar Elasticity, Mechanics of Granular Solids, Mechanics of Growing Solids. In this biographical background we discuss the scientific and educational work of Prof. Yuri N. Radayev, give an information on his achievements and a list of his main publications.
Keywords: mechanics of solids, plasticity, micropolar continuum, thermomechanics, growing bodies, Yuri N. Radayev.
Mots-clés : fracture 
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D. E. Bykov; M. V. Nenashev; V. P. Radchenko. On the $60^{\rm th}$ anniversary of Prof. Yuri N.~Radayev. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 26 (2022) no. 2, pp. 207-221. http://geodesic.mathdoc.fr/item/VSGTU_2022_26_2_a0/

[1] Radayev Yu. N., Mathematical Theory of Plasticity. Problems and Theorems, Samara State Univ., Samara, 1996, 80 pp. (In Russian)

[2] Radayev Yu. N., Theory of Finite Deformations of Solids, Samara State Univ., Samara, 1997, 103 pp. (In Russian)

[3] Astaf'ev V. I., Radayev Yu. N., Stepanova L. V., Applied Problems of Fracture Mechanics, Samara State Univ., Samara, 1999, 195 pp. (In Russian)

[4] Astaf'ev V. I., Radayev Yu. N., Stepanova L. V., Nonlinear Fracture Mechanics, Samara State Univ., Samara, 2001, 632 pp. (In Russian) | Zbl

[5] Radayev Yu. N., Spatial Problem of Mathematical Theory of Plasticity, Samara State Univ., Samara, 2006, 340 pp. (In Russian)

[6] Kovalev V. A., Radayev Yu. N., Elements of Field Theory: Variational Symmetries and Geometric Invariants, Fizmatlit, Moscow, 2009, 156 pp. (In Russian)

[7] Kovalev V. A., Radayev Yu. N., Wave Problems of the Field Theory and Thermomechanics, Saratov Univ., Saratov, 2010, 328 pp. (In Russian)

[8] Yarovoy G. P., Radayev Yu. N., “On a new reading of the “Principia Mathematica” by A. Whitehead and B. Russell”, Vestn. Samar. Gos. Univ. Estestvennonauchn. Ser., 2004, no. 4(34), 5–19 (In Russian)

[9] Arutyunyan N. Kh., Radayev Yu. N., “Elastoplastic torsional loading of prismatic rods”, Sov. Phys., Dokl., 32:11 (1987), 935–937 | MR | Zbl

[10] Arutyunyan N. Kh., Radayev Yu. N., “Elastoplastic torsion of a cylindrical rod for finite deformations”, J. Appl. Math. Mech., 53:6 (1989), 804–811 | DOI

[11] Radayev Yu. N., “Canonical invariants of coupled plasticity and damage equations”, Mech. Solids, 35:5 (2000), 21–35

[12] Radayev Yu. N., “Estimate of the latent free energy and damage at the tip of an opening-mode crack”, J. Appl. Mech. Tech. Phys., 41:6 (2000), 1054–1063 | Zbl

[13] Radayev Yu. N., “On the theory of three-dimensional equations of the mathematical theory of plasticity”, Vestn. Samar. Gos. Univ. Estestvennonauchn. Ser., 2001, no. 2(20), 55–86 (In Russian) | Zbl

[14] Radayev Yu. N., Bakhareva Yu. N., Ryabova Yu. N., “Self-similar solutions of an axially-symmetric problem of the mathematical theory of plasticity”, Vestn. Samar. Gos. Univ. Estestvennonauchn. Ser., 2003, no. 2(28), 96–112 (In Russian) | Zbl

[15] Radayev Yu. N., “To the theory of 3D equations of mathematical plasticity”, Mech. Solids., 38:5 (2003), 85–99

[16] Radayev Yu. N., “Complementary theorems in the theory of the plane and axisymmetric problems of the mathematical theory of plasticity”, Vestn. Samar. Gos. Univ., Estestvennonauchn. Ser., 2004, no. 2(32), 41–61 (In Russian) | Zbl

[17] Radayev Yu. N., “A classificating principle for the equations of axially-symmetric problem of the theory of perfect plasticity”, Vestn. Samar. Gos. Univ., Estestvennonauchn. Ser., 2005, no. 3(37), 43–56 (In Russian) | Zbl

[18] Radayev Yu. N., Kurnysheva N. A., “Hyperbolicity of coupled equations in the mathematical theory of plasticity”, Vestn. Samar. Gos. Univ., Estestvennonauchn. Ser., 2005, no. 6(40), 89–112 (In Russian) | Zbl

[19] Radayev Yu. N., “On symmetry groups of differential equations for a plane problem in the mathematical theory of plasticity”, Vestn. Samar. Gos. Univ., Estestvennonauchn. Ser., 2006, no. 4(44), 66–84 (In Russian) | Zbl

[20] Radayev Yu. N., “Exact analysis of stress distribution near a mode I crack tip in a perfectly plastic solid under plane stress conditions”, Vestn. Samar. Gos. Univ., Estestvennonauchn. Ser., 2007, no. 4(54), 336–365 (In Russian) | Zbl

[21] Radayev Yu. N., “Three-dimensional problem of perfect plasticity (kinematic equations determining three-dimensional plastic flow for a facet and edge of the Tresca prism)”, Izv. Saratov Univ. Math. Mech. Inform., 8:2 (2008), 34–76 (In Russian) | DOI

[22] Radayev Yu. N., “On the hyperbolicity of 3D plasticity equations in isostatic coordinates”, Mech. Solids, 43:5 (2008), 756–764 | DOI

[23] Kovalev V. A., Radayev Yu. N., “Three-dimensional constitutive relations of ideal plasticity and the flow on the Coulomb–Tresca prism edge”, Mech. Solids, 45:2 (2010), 295–308 | DOI

[24] Kovalev V. A., Radayev Yu. N., “An optimal system of one-dimensional subalgebras for the symmetry algebra of three-dimensional equations of the perfect plasticity”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 1(22) (2011), 196–220 (In Russian) | DOI

[25] Kovalev V. A., Radayev Yu. N., “An optimal system constructing algorithm for symmetry algebra of three-dimensional equations of theperfect plasticity”, Izv. Saratov Univ. Math. Mech. Inform., 11:2 (2011), 61–77 (In Russian) | DOI

[26] Radayev Yu. N., “Continuity violation trajectories in perfectly plastic bodies”, Mech. Solids, 46:4 (2011), 563–578 | DOI

[27] Radayev Yu. N., “On attainable lower boundary of the three-dimensional Coulomb–Tresca invariant”, Mech. Solids, 47:6 (2012), 671–676 | DOI

[28] Kovalev V. A., Radayev Yu. N., “On plastic flow of solids for stress states corresponding to an edge of the Coulomb-Tresca prism”, Mat. Phys. Mech., 28:1/2 (2016), 57–61

[29] Radayev Yu. N., “On the theory of the Coulomb–Mohr media and generalized prandtl plastic solids”, Bulletin of the Yakovlev Chuvash State Pedagogical University, Ser. Mechanics of Limit State, 2018, no. 4(38), 3–24 (In Russian)

[30] Radayev Yu. N., “On a hyperbolic model of plane irreversibly compressible flows of Coulomb–Mohr and prandtl perfectly plastic media”, Bulletin of the Yakovlev Chuvash State Pedagogical University, Ser. Mechanics of Limit State, 2019, no. 4(42), 6–68 (In Russian)

[31] Arutyunyan N. K., Naumov V. E., Radayev Yu. N., “Mathematical model of a dynamically accreted deformable body. Part 1. Kinematics and measure of deformation of the growing body”, Mech. Solids, 25:6 (1990), 86–99

[32] Arutyunyan N. K., Naumov V. E., Radayev Yu. N., “Mathematical model of a dynamically accreted deformable body. Part 2. Evolution boundary-value problem of the theory of the growing bodies”, Mech. Solids, 26:1 (1991), 67–80

[33] Arutyunyan N. K., Naumov V. E., Radayev Yu. N., “Dynamic build-up of the elastic layer. Part 1. Motion of a flow of deposited particles with a variable velocity”, Mech. Solids, 27:5 (1992), 6–24

[34] Arutyunyan N. K., Naumov V. E., Radayev Yu. N., “Dynamic build-up of the elastic layer. Part 2. The case of the fall of the incrementing particles with a constant velocity”, Mech. Solids, 27:6 (1992), 99–112

[35] Murashkin E. V., Radayev Yu. N., “On a differential constraint in asymmetric theories of the mechanics of growing solids”, Mech. Solids, 54:8 (2019), 1157–1164 | DOI | DOI

[36] Radayev Yu. N., Murashkin E. V., “On a class of constitutive equations on propagating growing surface”, Bulletin of the Yakovlev Chuvash State Pedagogical University, Ser. Mechanics of Limit State, 2019, no. 3(41), 11–29 (In Russian) | DOI

[37] Murashkin E. V., Radaev Y. N., “On a differential constraint in the continuum theory of growing solids”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 23:4 (2019), 646–656 | DOI

[38] Radayev Yu. N., Murakami S., Hayakawa K., “Mathematical description of anisotropic damage state in continuum damage mechanics”, Trans. Japan Soc. Mech. Engn., Ser. A, 60:580 (1994), 2750–2758 (In Japanese) | DOI

[39] Radayev Yu. 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”, J. Non-Equilib. Thermodyn., 21:2 (1996), 129–152 | DOI

[40] Radayev Yu. N., “Thermodynamical model of anisotropic damage growth. Part II. Canonical damage growth rate equations and theory of damage invariants”, J. Non-Equilib. Thermodyn., 21:3 (1996), 197–222 | DOI

[41] Murakami S., Radayev Yu. N., “A mathematical model of a 3D anisotropic damage state”, Mech. Solids, 31:4 (1996), 77–92

[42] Radayev Yu. N., Stepanova L. V., “On the effect of the residual stresses on the crack opening displacement in a cracked sheet”, Int. J. Fract., 107:4 (2001), 329–360 | DOI

[43] Radayev Y. N., “On directional average of the local anisotropic damage”, Int. J. Fract., 128 (2004), 293–307 | DOI

[44] Kovalev V. A., Radayev Y. N., “A strain-damage coupled model and its application to near crack tip localization analysis”, J. Phys.: Conf. Ser., 181 (2009), 012068 | DOI

[45] Kovalev V. A., Radayev Yu. N., “On wavenumbers of plane harmonic type III thermoelastic waves”, Izv. Saratov Univ. Math. Mech. Inform., 10:3 (2010), 46–53 (In Russian) | DOI

[46] V. A. Kovalev, Yu. N. Radaev, Revinskiy R. A., “Propagation of thermoelastic impulse through a cylindrical waveguide under sidewall heat interchanging”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2011, no. 1(22), 221–227 (In Russian) | DOI

[47] Kovalev V. A., Radayev Yu. N., “Derivation of energy-momentum tensors in theories of micropolar hyperbolic thermoelasticity”, Mech. Solids, 46:5 (2011), 705–720 | DOI

[48] Kovalev V. A., Radaev Yu. N., “Forms of null Lagrangians in field theories of continuum mechanics”, Mech. Solids, 47:1 (2012), 137–154 | DOI

[49] Kovalev V. A., Radayev Yu. N., “Thermomechanical orthogonality in nonlinear type-III thermoelasticity (GNIII)”, Izv. Saratov Univ. Math. Mech. Inform., 12:3 (2012), 72–82 (In Russian) | DOI

[50] Kovalev V. A., Radayev Yu. N., “Coupled thermodynamic orhogonality in non-linear models of type-III thermoelasticity”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2013, no. 1(30), 207–214 (In Russian) | DOI

[51] Radayev Yu. N., “Asymptotic axes of stress tensors and strain increment tensors in mechanics of compressible continua”, Mech. Solids, 48:5 (2013), 546–552 | DOI

[52] Kovalev V. A., Radayev Yu. N., “Estimates of azimuthal numbers associated with elementary elliptic cylinder wave functions”, Mech. Solids, 49:3 (2014), 253–269 | DOI

[53] Kovalev V. A., Radayev Yu. N., “On a form of the first variation of the action integral over a varied domain”, Izv. Saratov Univ. Math. Mech. Inform., 14:2 (2014), 199–209 (In Russian) | DOI

[54] Kovalev V. A., Radayev Yu. N., “On nonlinear strain vectors and tensors in continuum theories of mechanics”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2014, no. 1(34), 66–85 (In Russian) | DOI

[55] Kovalev V. A., Murashkin E. V., Radayev Yu. N., “On weak discontinuities and jump equations on wave surfaces in micropolar thermoelastic continua”, Izv. Saratov Univ. Math. Mech. Inform., 15:1 (2015), 79–89 | DOI

[56] Radayev Yu. N., Kovalev V. A., “Hyperbolic theories and problems of continuum mechanics”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 19:1 (2015), 186–202 (In Russian) | DOI | Zbl

[57] Kovalev V. A., Radayev Yu. N., “Micropolar thermoelastic continuum models with constrained microstructural parameters”, Izv. Saratov Univ. Math. Mech. Inform., 15:4 (2015), 451–461 (In Russian) | DOI

[58] Kovalev V. A., Murashkin E. V., Radayev Yu. N., “Extrastrains of the microstructural continuum with free director”, Bulletin of the Yakovlev Chuvash State Pedagogical University, Ser. Mechanics of Limit State, 2015, no. 3(25), 61–65 (In Russian)

[59] Kovalev V. A., Radayev Yu. N., “On rationally complete algebraic systems of finite strain tensors of complex continua”, Izv. Saratov Univ. Math. Mech. Inform., 17:1 (2017), 71–84 (In Russian) | DOI

[60] Radayev Yu. N., “The Lagrange multipliers method in covariant formulations of micropolar continuum mechanics theories”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 22:3 (2018), 504–517 (In Russian) | DOI

[61] Murashkin E. V., Radayev Yu. N., “Coupled multi-physics modelling in continuum mechanics”, IOP Conf. Ser.: Mater. Sci. Eng., 468 (2018), 012043 | DOI

[62] Murashkin E. V., Radayev Yu. N., Kovalev V. A., “Microrotation waves propagating in a cylindrical waveguide”, IOP Conf. Ser.: Mater. Sci. Eng., 468 (2018), 012030 | DOI

[63] Radayev Yu. N., “Asymmetric tensor representations in micropolar continuum mechanics theories”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 23:2 (2019), 246–255 | DOI

[64] Kovalev V. A., Radayev Yu. N., “On wave solutions of dynamic equations of hemitropic micropolar thermoelasticity”, Izv. Saratov Univ. Math. Mech. Inform., 19:4 (2019), 454–463 (In Russian) | DOI

[65] Radayev Y. N., “Factorization of the main hyperbolic differential operator of the micropolar elasticity theory”, Mech. Solids, 55:6 (2020), 776–783 | DOI | DOI

[66] Radayev Y. N., “Kinematic equations along characteristics in compressible flows on the facets of an arbitrary piecewise linear yield criterion”, Mech. Solids, 55:5 (2020), 737–740 | DOI | DOI

[67] Murashkin E. V., Radaev Y. N., “On a micropolar theory of growing solids”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 24:3 (2020), 424–444 | DOI

[68] Radayev Yu. N., Murashkin E. V., “Pseudotensor formulation of the mechanics of hemitropic micropolar media”, Problems of Strength and Plasticity, 82:4 (2020) (In Russian) | DOI

[69] Radayev Yu. N., “Representation of displacements in a spatial harmonic problem of the theory of elasticity using two screw vectors”, Mech.Solids, 56:2 (2021), 263–270 | DOI | DOI

[70] Murashkin E. V., Radayev Yu. N., “Generalization of the algebraic hamilton–cayley theory”, Mech. Solids, 56:6 (2021), 996–1003 | DOI | DOI

[71] Murashkin E. V., Radayev Yu. N., “On a ordering of area tensor elements orientations in a micropolar continuum immersed in an external plane space”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 25:4 (2021), 776–786 (In Russian) | DOI | Zbl

[72] Manzhirov A. V., Radayev Yu. N., “On the 90th anniversary of N. Kh. Arutyunyan”, Vestn. Samar. Gos. Univ. Estestvennonauchn. Ser., 2002, no. 4(26), 39–58 (In Russian) | Zbl

[73] Kabytov P. S., Radayev Yu. N., “On the 60th anniversary of G. P. Yarovoy”, Vestn. Samar. Gos. Univ. Estestvennonauchn. Ser., 2003, no. 4(30), 5–20 (In Russian)

[74] Radayev Yu. N., “On the 75th anniversary of D. D. Ivlev”, Vestn. Samar. Gos. Univ. Estestvennonauchn. Ser., 2005, no. 5(39), 5–32 (In Russian) | Zbl

[75] Yarovoy G. P., Panov A. N., Radayev Yu. N., “Professor Valentin Evgen'evich Voskresenskii (on the occasion of his eightiest birthday)”, Vestn. Samar. Gos. Univ. Estestvennonauchn. Ser., 2007, no. 2(52), 5–18 (In Russian) | Zbl

[76] Yarovoy G. P., Radayev Yu. N., “G. I. Bykovtsev – on the seventieth anniversary of his birth”, Vestn. Samar. Gos. Univ. Estestvennonauchn. Ser., 2007, no. 9/1(59), 9–30 (In Russian) | Zbl

[77] Yarovoy G. P., Kabytov P. S., Radayev Yu. N., “In memory of Professor Igor' Stepanovich Zaguzov”, Vestn. Samar. Gos. Univ. Estestvennonauchn. Ser., 2008, no. 3(62), 5–26 (In Russian) | Zbl

[78] Ivlev D. D., Radayev Yu. N., Matchenko N. M., “On the 80th anniversary of Vladimir Georgievich Zubchaninov”, Bulletin of the Yakovlev Chuvash State Pedagogical University, Ser. Mechanics of Limit State, 2011, no. 1(9), 3–22 (In Russian)

[79] Kossovich L. Yu., Radayev Yu. N., “To 60th anniversary of professor A. O. Vatulyan”, Izv. Saratov Univ. Math. Mech. Inform., 13:3 (2013), 111–118 (In Russian)

[80] Radayev Yu. N., Radchenko V. P., “To the 60th anniversary of Professor Alexander Vladimirovich Manzhirov”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 21:3 (2017), 401–416 (In Russian) | DOI | Zbl

[81] Radayev Yu. N., “Professor Leonid Yu. Kossovich (to the 70th anniversary)”, Izv. Saratov Univ. Math. Mech. Inform., 18:4 (2018), 507–521 (In Russian) | DOI