Nonlinear equations of deformation of atomic lattices

Archives of Mechanics

Volumn 57, Issue 6, 2005, Pages 435-453

  Korobeynikov, Sergei N ^a  

^a LAVRENTYEV INSTITUTE OF HYDRODYNAMICS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 29644442887     PISSN: 03732029     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (10)

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2. V.V. Novozhilov, To the basis for the theory of equilibrium cracks in elastic solids [in Russian], Prikladnaja Matematika i Mekhanika, 33, 5, 797-812, 1969.
3. V.M. Kornev and Yu. V. Tikhomirov, The deformation and stability of the atomic chain at the tip of a crack, J. Appl. Mech. Techn. Phys., 34, 3, 439-448, 1993.
4. V.M. Kornev and Yu. V. Tikhomirov, A brittle fracture criterion for cracked bodies in the presence of atomic lattice defects, Mechanics of Solids, 29, 2, 160-172, 1994.
5. S.N. Korobeynikov, Application of the FEM to solving nonlinear problems of deformation and buckling of atomic lattices [in Russian], Preprint No 1-97, Inst. Hydrodynamics, Sib. Div., Russ. Acad.of Sci., Novosibirsk 1997.
6. S. N. Korobeynikov, The numerical solution of nonlinear problems on deformation and buckling of atomic lattices, Int. J. of Fracture, 128, 1, 315-323, 2004.
7. K.-J. Bathe, Finite element procedures in engineering analysis, Prentice-Hall, Englewood Cliffs, N. J., 1982.
8. O. C. Zienkiewicz and R. L. Taylor, The finite element method (4-th ed.), McGraw-Hill, London 1991.
9. A. Curnier, Computational methods in solid mechanics, Kluwer Academic Publ., Dordretch, 1994.
10. S.N. Korobeynikov [in Russian], Nonlinear strain analysis of solids, Publishing House of the Sib. Div. of Russ. Acad. of Sci., Novosibirsk 2000.