The linear theory of dislocations and disclinations in elastic shells

✍ Scribed by L.M. Zubov

• Publisher: Elsevier Science
• Year: 2010
• Tongue: English
• Weight: 339 KB
• Volume: 74
• Category: Article
• ISSN: 0021-8928
• DOI: 10.1016/j.jappmathmech.2011.01.006

✦ Synopsis

A stress state of a thin linearly elastic shell containing both isolated as well as continuously distributed dislocations and disclinations is considered using the classical Kirchhoff-Love model. A variational formulation of the problem of the equilibrium of both a multiply connected shell with Volterra dislocations as well as shells containing dislocations and disclinations distributed with a known density is given. The mathematical equivalence between the boundary-value problem of the stress state of a shell caused by distributed dislocations and disclinations and the boundary-value problem of the equilibrium of a shell under the action of specified distributed loads is established. A number of problems on dislocations and disclinations in a closed spherical shell is solved. The problem of infinitesimally deformations of a surface when there are distributed dislocations is formulated.