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IssuesArchive of Issues2005-5pp.151-151

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"The 75th birthday of Professor D. D. Ivlev," Mech. Solids. 40 (5), 151-151 (2005)
Year 2005 Volume 40 Number 5 Pages 151-151
Title The 75th birthday of Professor D. D. Ivlev
Author(s)
Abstract Dyuis Danilovich Ivlev was born on September 6, 1930 in Cheboksary. He graduated from the Faculty of Mechanics and Mathematics at Moscow State University in 1953, completed his postgraduate studies there, and defended his Ph.D. thesis in 1956 (Moscow State University) and D.Sc. Thesis in 1959 (Moscow State University).

Ivlev's research deals with mechanics of deformable solids, mainly, with the mathematical theory of plasticity and limiting states of solids. He developed the general theory of limiting statically determinate states of solids. This theory is based on the mathematical technique of equations of hyperbolic type, which is quite adequate to the shear character of plastic strain related to the formation of slip plateaux along slip surfaces. The results were generalized to anisotropic and compressible media and to separation fracture. Discontinuous solutions for the space state of perfectly plastic solids were studied, and solutions of a wide class of problems on the indentation of rigid dies and bodies into a perfectly plastic half-space as well as on the limiting space state of a material compressed between rough plates, etc. were given. The studies of stationary and nonstationary flows of perfectly plastic media gained further development.

Considerable attention in Ivlev's papers is paid to duality issues, pertaining to the equivalent construction of plasticity theory on the basis of the definition of the loading function and the associated plastic flow law or the definition of the dissipative function and the associated loading law. The postulates underlying the construction of plasticity theory and resulting in the associated flow and loading laws were analyzed. In the theory of strain-hardening plastic media, Ivlev developed the concepts based on the translational hardening mechanism and put forward by Ishlinskii and Prager. A series of papers deals with linear problems of elastoplastic and rigid-plastic states. A successive approximation algorithm was developed permitting one to obtain solutions of 2D, axisymmetric, and 3D problems. A series of studies deals with deformation theory of plasticity, the construction of models of elastic and viscous media, statics and dynamics of free-flowing media, mechanics of quasibrittle fracture, etc.

Ivlev published over 200 scientific papers. His results are a fundamental contribution to mechanics of deformable solids. Ivlev played an important role in the advent of scientific schools on mechanics in Voronezh, Cheboksary, and other Russian cities. There are doctors and candidates of sciences among his students.

The editorial board and the Editors of Mechanics of Solids cordially congratulate Dyuis Danilovich on his seventy-fifth birthday and wish him sound health and many new scientific results.
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