2015-Sustainable Industrial Processing Summit
SIPS 2015 Volume 1: Aifantis Intl. Symp. / Multiscale Material Mechanics
| Editors: | Kongoli F, Bordas S, Estrin Y |
| Publisher: | Flogen Star OUTREACH |
| Publication Year: | 2015 |
| Pages: | 300 pages |
| ISBN: | 978-1-987820-24-9 |
| ISSN: | 2291-1227 (Metals and Materials Processing in a Clean Environment Series) |
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Defects in Solids: Elastic Models and the Boundary-Value Problems
Anna Kolesnikova1; Alexey Romanov2;1ITMO UNIVERSITY, St.Petersburg, Russian Federation; 2TOGLIATTI STATE UNIVERSITY, Togliatti, Russian Federation;
Type of Paper: Keynote
Id Paper: 108
Topic: 1
Abstract:
In the framework of continuum mechanics, the classification of the defects, i.e. the internal sources of elastic fields, is presented. The classification is based on the dimension of the area where the eigenstrain of the defect is defined. The elastic models for the point defects, linear defects, surface defects and inclusions are demonstrated. The defects in 3D- and 2D-elastic media are compared. The elastic fields for the axisymmetric defects such as circular dilatational line and circular dilatational disk are given in the form of Lipschitz-Hankel integrals. The techniques for solutions of the boundary value problems in the theory of defects are discussed. The elastic behavior of the circular prismatic dislocation loops in elastic bodies with spherical free surfaces and interfaces is considered.