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Dr. Genady Cherepanov's photo


1. Introduced nanofracture mechanics as the general, unified theory of dislocation emission, crack growth and cleavage decohesion in terms of fundamental physical constants in nanoscale. The approach was published in J. Applied Physics, Soviet Applied Mechanics and Applied Mechanics Reviews from 1986 to 1995, and supported by NSF grant. (Original name for this approach was "quantum fracture mechanics", the name "nanofracture mechanics" was suggested by Gilman). A parallel work of Rice and Thomson in this area includes only nucleation of one dislocation and cleavage decohesion.

2. Solved some particular cases of long-standing Riemann and Riemann-Hilbert problems for several functions (both linear and nonlinear) during 1961-65 under the influence of Gakhov's work in the area.

3. During 1961-1968, solved several difficult mathematical problems of nonlinear mechanics with unknown boundaries (in plasticity, elasticity, local buckling and hydrodynamics) using complex variables. To the end, developed more capable methods as compared to those advanced earlier by Kolosov, Muskhelishvili, Sherman, Sokolovsky, Galin, Keldysh and Sedov in the area.

4. Generalized Griffith's concept of fracture for arbitrary solids and continua (in 1967) later co-offered by Landis and Begley for crack initiation (in 1972). In the 80s, this concept was applied and developed by Atluri, Nishioka and many other investigators in numerical and physical experiments as applied to static and dynamic cracks in plastic materials.

5. Discovered the invariant or path-independent integral (1967) which gives the strength and driving force of crack tip singularities (in arbitrary elastic and inelastic materials for both dynamic and static problems). The analogous integral had been introduced earlier for point defect studies in static elasticity by Eshelby and was later co-discovered by Rice (also, only for static elasticity). This integral has found wide application in fracture mechanics, at levels from atomic decohesion, to cracking in highly ductile engineering structures, to landslides in clay slopes, and to large-scale earthquake ruptures (in papers with Bykovtsev of 70s and 80s). It also motivated a productive search for new conservation relations and invariant integrals in other physical fields (in papers of 1978, 1979, 1983, 1987,1989).

6. Pioneered the so-called HRR approach in fracture mechanics of power-law hardening
(1967) later co-discovered by Hutchinson, Rice and Rosengren.

7. Discovered super-penetration effect of thin wing-shaped penetrators in solids at the Rayleigh speed. Publications in J. Applied Mechanics, Engineering Fracture Mechanics, Mechanics of Materials, and other journals (1994-95) supported by NASA grant.

8. Discovered the interaction law of relativistic charges (a generalized Coulomb's law) and
introduced the model for unusual fracturing effect of high-power relativistic electron beams (with Borzykh, in J. Applied Physics, 1994).

9. Developed mathematical description of stress accumulation and transfer around faults in the Earth's crust (Physics of Earth, 1985; and the book of 1987).

10. Discovered, with Galin, self-maintained failure waves (1967) later re-discovered by Bless, and many others in USA (1988-1995). The concept of structural bond energy release introduced in this work stimulated the development of new energetic materials that have found many military and civil applications.

11. Introduced 2D theory of thermal stresses in thin films and bonding layers as applied to high-speed microelectronics (J. Applied Physics, 1994-95). The research is supported by AFOSR grant.

12. Solved the long-standing problem of an isolated rigid fiber in an elastic space (1983)
attacked earlier by Larmor, Van Dyke, Landau, Lifshitz and Eshelby. The method developed for solving this problem was applied to problems of pull-out, push-in, and many other related problems of slender bodies (in publications of 1983, 1985, 1987,1988,1995)

13. Developed an approach to the localization of plastic deformation into shear bands using the selection principle based on the concept of maximum energy dissipation rate (1975). The concept was later applied by Slepyan to dynamic problems.

14. Introduced the theory of fluidization of particulate media (with Gupalo and Galin) that has
found an application to design of chemical reactors (1969-1978).

15. Introduced the theory of explosion effect in brittle materials as the counterpart to the theory of Taylor and Grigorian for plastic materials.

16. Developed methods of the functionally-invariant Smirnov-Sobolev's solutions in dynamic elasticity and acoustics (with Afanasiev).

17. Proved that failure criteria for brittle materials are generally path-dependent and do not meet Drucker's postulate (with Germanovich, 1987-1995). The mathematical theory of catastrophe was used to achieve the result.

18. Contributed to optimal design by generalizing the concept of equistrength, introduced by Galileo Galilei, for arbitrary structures. Predicted many equistrong configurations, e.g. equistrong turbine blades, equistrong rotating disks, equistrong holes, equistrong underground tunnel shapes, etc., using this concept (1962-1995). The work was continued by Wheeler (as applied to minimum stress concentration), Banichuk, Vigdergauz, Alimzhanov and other investigators (supported by ARO grant).

19. Introduced the theory of gas grifons around boreholes and erosion of fluid-infiltrated solids under dams (1987).

20. Contributed to penetration mechanics (1985, 1987, 1994).

21. Introduced the theory of hydrogen embrittlement and corrosion fracture (1972-1981).

22. Introduced the theory of fatigue crack growth (1968-1978)

23. Contributed to contact and mixed problems of the theory of elasticity (1963-95).

24. Discovered an ample class of boundary problems of the theory of elasticity, in which the
Saint-Venant's principle is not satisfied

25. Developed the Eshelby 's theory of point defects in solids (1984-1995).

26. Introduced the theory of rock cutting (1987).

27. Developed classical fracture mechanics, namely:
      a. Derived, with Barenblatt, energy release rate in terms of stress intensity factors for arbitrary mixed-mode cracks (co-derived, by Irvin, Kies and some other investigators).
      b. Discovered, with Barenblatt, that the limiting speed of crack propagation in a homogeneous material is the Rayleigh speed (co-discovered by Broberg, Stroh, Wells and others).
      c. Developed useful solutions for bimaterial interface cracks later re-discovered by England, Rice, Sih, Hutchinson, Suo, Salganik and other investigators.
      d. Pioneered, with Barenblatt, the theory of cracks in anisotropic materials. (This work was co-pioneered by Stroh).
      e. Developed fractal fracture mechanics, with Balankin and Ivanova (1996).
      f. Developed creep crack growth theory in metals (1974-1987).
      g. Introduced the theory of delamination of laminate structures and shells (1983).
      h. Developed the theory of crack nucleation in metals (in particular, according to Cottrell’s mechanism).
      l. Developed fracture mechanics of composite materials (1983).
m. Developed fracture mechanics of rocks (1987).
      n. Derived equation of energy release rate in terms of stress intensity factor for a fast
propagating crack
(1968). This equation was simultaneously co-discovered by Eshelby, Atkinson, Kostrov, Freund and others.

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