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The extended Frenkel-Kontorova model and its application to the problems of brittle fracture and adhesive failure

✍ Scribed by V. V. Ginzburg; L. I. Manevitch


Publisher
Springer Netherlands
Year
1993
Tongue
English
Weight
299 KB
Volume
64
Category
Article
ISSN
1573-2673

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✦ Synopsis


The problem of mechanical equilibrium of a layer on a crystalline substrate under the action of tensile force is considered. A model Hamiltonian is proposed and equations of motion and equilibrium are derived. Solutions of these equations are obtained, corresponding to Frenkel-Kontorova dislocation and crack. It is shown that crack length is proportional to inverse tensile force: l oz P-1.


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