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Disclinations in nonlinear elasticity
Author(s) -
Derezin S.,
Zubov L.
Publication year - 2011
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.201000174
Subject(s) - nonlinear system , elasticity (physics) , nonlinear elasticity , planar , limiting , classical mechanics , materials science , mechanics , physics , computer science , composite material , mechanical engineering , computer graphics (images) , quantum mechanics , engineering
Abstract The theory of line defects (dislocations and disclinations) in elastic bodies has been revisited. A consistent application of the formal limiting passage from isolated defects to the continuous distribution of these allows one to obtain a complete system of equations describing internal stresses in a body with distributed defects. Special emphasis is placed on disclinations in planar systems like graphene which very often demonstrate nonlinear elastic response. As a specific example an exact solution has been found for the problem of the eigenstresses in a disc of nonlinear elastic material due to a given density of continuously distributed disclinations.