Vladimir D. Klyushnikov ( February 1, 1928 , village of Novo- Pisovo, Vichuzhsky District, Ivanovo Region - May 11, 2001 , Moscow ) - Soviet and Russian mechanical scientist, doctor of physical and mathematical sciences, professor, head of the theory department plasticity of Moscow State University from 1986 to 1999.
| Vladimir Dmitrievich Klyushnikov | |
|---|---|
 Vladimir Dmitrievich Klyushnikov | |
| Date of Birth | February 1, 1928 |
| Place of Birth | with. Novo-Pissovo, Vichugsky district , Ivanovo region , USSR |
| Date of death | May 11, 2001 ( 73) |
| Place of death | Moscow , Russia |
| A country |  USSR →  Russia |
| Scientific field | deformable solid mechanics |
| Place of work | MSU (mehmat) |
| Alma mater | MSU (mehmat) |
| Academic degree | |
| supervisor | A. A. Ilyushin |
| Famous students | M. N. Kirsanov |
| Awards and prizes |  |
Content
Biography
He entered the Moscow State University in 1949. In 1954 he graduated from the Faculty of Mechanics and Mathematics of MV Lomonosov Moscow State University (qualification: mechanic) and was enrolled in graduate school. In 1957 he defended his thesis on the topic "Some problems of the theory of the general form of the relationship between stresses and strains and elastoplastic stability"; after defense, he was left at the department of the theory of plasticity of the mechmath of Moscow State University as a researcher (since 1961 - associate professor) [1] .
Since 1968 - Doctor of Physics and Mathematics (doctoral dissertation was defended by V. D. Klyushnikov in 1967 on the topic "Some General Issues of Plasticity and Plastic Stability"); since 1971 - professor [1] .
From 1986 to 1999 he headed the department of the theory of plasticity of the Faculty of Mechanics and Mathematics [2] .
Member of the USSR National Committee on Theoretical and Applied Mechanics . Honored Scientist of the Russian Federation (1998). Honored Professor of Moscow State University (1998) [1] .
Scientific activity
The most important scientific results of V. D. Klyushnikov relate to the theory of plasticity . He proposed a new promising way to build this theory, which is based on replacing the initial loading path with an arbitrarily close broken line, on the segments of which the plastic properties of the material are either known in advance or allow a more natural task than on the original path. A comparative analysis revealed the fundamental features of the singular theory of plasticity (the theory with a singular point on the loading surface), including the presence of areas of complete and incomplete loading, which in many cases made it possible to justify the applicability of the deformation theory of plasticity. Klyushnikov also established the usefulness of attracting a hypothetical two-dimensional material in the study of the qualitative side of the phenomenon of plasticity [3] .
Klyushnikov showed that the phenomenon of buckling of elastoplastic structures is associated not with a loss of state stability (as in the theory of elasticity ), but with a loss of stability of the deformation process. It follows that the stability criterion in this situation is not a state bifurcation ( zero-order bifurcation ), but a process bifurcation ( first-order bifurcation , which manifests itself in non-uniform increments or speeds). In this case, the problem of the bifurcation of the process for a plastic body was reduced to the problem of bifurcation of the state of an equivalent elastic body [4] . In the course of these studies, the special significance of equidistant bifurcation as the earliest bifurcation occurring under external loading was revealed. Along with the zero and first order bifurcations, possible practical applications (in particular, in the case of differential nonlinear defining relations) of higher order bifurcations were pointed out [5] .
Klushnikov also investigated a new type of defining relations in the singular theory of plasticity - relations with a differential-nonlinear dependence between stresses and strains . The specific behavior of materials with such defining relationships was found when applying traditional theorems of mechanics to them, a valuable opportunity was noted for describing plastic strains with a single analytical relationship. The subject of VD Klyushnikov’s study was also a description of the behavior of softening materials (the case of bodies with a falling strain – stress diagram) and the phenomenon of electroplasticity [6] .
A number of works by V. D. Klyushnikov are devoted to fracture mechanics . In them, he was engaged in the substantiation of the basic principles of linear-elastic fracture mechanics , distributed to bodies capable of undergoing irreversible deformations. The inefficiency of the Rice – Cherepanov fracture criterion was discovered for the case of nonholonomic constitutive relations and methods for correcting this position were proposed [7] .
Bibliography
- Klyushnikov V.D. Mathematical theory of plasticity. - M .: Publishing house Mosk. University, 1979. - 208 p.
- Klyushnikov V.D. Stability of elastic-plastic systems. - M .: Nauka, 1980 .-- 240 p.
- Klyushnikov V.D. Lectures on the stability of deformable systems. - M .: Publishing house Mosk. University, 1986. - 224 p.
- Kershtein I. M., Klyushnikov V. D., Lomakin E. V. , Shesterikov S. A. Fundamentals of experimental fracture mechanics. - M .: Publishing house Mosk. University, 1989 .-- 140 p. - ISBN 5-211-00318-7 .
- Klyushnikov V.D. Physical and mathematical foundations of the theory of strength and plasticity. - M .: Publishing house Mosk. University, 1994 .-- 189 p. - ISBN 5-211-03078-8 .
See also
- Plasticity theory
Notes
- ↑ 1 2 3 Mechanics at Moscow University, 2005 , p. 264.
- ↑ Mehmat Moscow State University 80. Mathematics and Mechanics at Moscow University / Ch. ed. A.T. Fomenko . - M .: Publishing house Mosk. University, 2013 .-- 372 p. - ISBN 978-5-19-010857-6 . - S. 209.
- ↑ Mechanics at Moscow University, 1992 , p. 95.
- ↑ Mechanics at Moscow University, 1992 , p. 104-105.
- ↑ Mechanics at Moscow University, 2005 , p. 259.
- ↑ Mechanics at Moscow University, 1992 , p. 95, 97.
- ↑ Mechanics at Moscow University, 2005 , p. 252.
Literature
- Mechanics at Moscow University / Ed. K.A. Rybnikova . - M .: Publishing house Mosk. University, 1992 .-- 168 p. - ISBN 5-211-01979-2 .
- Mechanics at Moscow University / Ed. I.A. Tyulina , N.N. Smirnova. - M .: Iris Press, 2005 .-- 352 p. - ISBN 5-8112-1474-X .