The numerical solutions of nonlinear problems on deformation and buckling of atomic lattices

International Journal of Fracture

Volumn 128, Issue 1, 2004, Pages 315-323

  Korobeinikov, S N ^a  

^a LAVRENTYEV INSTITUTE OF HYDRODYNAMICS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; ATOMS; BIFURCATION (MATHEMATICS); BUCKLING; CRYSTAL LATTICES; DEFORMATION; FINITE ELEMENT METHOD; MATRIX ALGEBRA; NONLINEAR EQUATIONS;

ATOMIC LATTICES; NONLINEAR DEFORMATION; SHEAR BANDS;

FRACTURE MECHANICS;

EID: 4444219666     PISSN: 03769429     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:FRAC.0000040995.13933.e0     Document Type: Article

References (9)

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3. Kornev, V.M. and Tikhomirov, Yu.V. (1993). The deformation and stability of the atomic chain at the tip of a crack. J. Appl. Mech. Techn. Phys. 34(3), 439-448.
4. Kornev, V.M. and Tikhomirov, Yu.V. (1994). On criteria of brittle fracture of solids with a crack accounting the atomic lattice defect. Mekhanika Tverdogo Tela 2, 185-193 [in Russian].
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6. Korobeinikov, S.N. (1997). Application of the FEM to solving nonlinear problems on deformation and buckling of atomic lattices, Preprint NO 1-97, Inst. Hydrodynamics, Sib. Div., Russ. Acad. of Sci., Novosibirsk [in Russian].
7. Korobeinikov, S.N. (2000). Nonlinear Strain Analysis of Solids. Publ. House of the Russian Acad. of Sci., Novosibirsk [in Russian].
8. Novozhilov, V.V. (1969). To the bases of equilibrium cracks in elastic solids. Prikladnaja Matematika i Mekhanika 33(5), 797-812 [in Russian].
9. Thompson, J.M.T. (1982). Bifurcational instability of an atomic lattice, Instabilities and Catastrophes in Science and Engineering (Edited by J.M.T. Thompson). Wiley, Chichester et al., 101-124.