Numerical solution of nonlinear hypersingular integral equations of the Peierls type in dislocation theory

Karlin, VUniv Cent Lancashire, Ctr Res Fire & Explos Studies, Preston PR1 2HE, Lancs, England Linkoping Univ, Dept Math, S-58183 Linkoping, Sweden Univ Liverpool, Dept Math Sci, Liverpool L69 3BX, Merseyside, England Univ Cambridge, Dept Appl Math & Theoret Phys, Cambridge CB3 9EW, England (författare)

In this paper we analyze hypersingular integral equations of the Peierls type specified on the whole real axis. The method of "approximate approximations" [Maz'ya, Proceedings of the Eighth Conference on the Mathematics of Finite Elements and Applications, VIII, MAFELAP 1993, Brunel University, 1994, pp. 107-104] is employed in order to produce numerical solutions of high accuracy, and the results are applied to problems in the theory of dislocations. The critical Peierls stress is evaluated for different configurations of dislocations and for different types of the interatomic force law.

Maz´ya, Vladimir G.Linköpings universitet,Tekniska högskolan,Tillämpad matematik(Swepub:liu)vlama82 (författare)
Movchan, ABUniv Cent Lancashire, Ctr Res Fire & Explos Studies, Preston PR1 2HE, Lancs, England Linkoping Univ, Dept Math, S-58183 Linkoping, Sweden Univ Liverpool, Dept Math Sci, Liverpool L69 3BX, Merseyside, England Univ Cambridge, Dept Appl Math & Theoret Phys, Cambridge CB3 9EW, England (författare)
Willis, JRUniv Cent Lancashire, Ctr Res Fire & Explos Studies, Preston PR1 2HE, Lancs, England Linkoping Univ, Dept Math, S-58183 Linkoping, Sweden Univ Liverpool, Dept Math Sci, Liverpool L69 3BX, Merseyside, England Univ Cambridge, Dept Appl Math & Theoret Phys, Cambridge CB3 9EW, England (författare)
Bullough, RUniv Cent Lancashire, Ctr Res Fire & Explos Studies, Preston PR1 2HE, Lancs, England Linkoping Univ, Dept Math, S-58183 Linkoping, Sweden Univ Liverpool, Dept Math Sci, Liverpool L69 3BX, Merseyside, England Univ Cambridge, Dept Appl Math & Theoret Phys, Cambridge CB3 9EW, England (författare)
Univ Cent Lancashire, Ctr Res Fire & Explos Studies, Preston PR1 2HE, Lancs, England Linkoping Univ, Dept Math, S-58183 Linkoping, Sweden Univ Liverpool, Dept Math Sci, Liverpool L69 3BX, Merseyside, England Univ Cambridge, Dept Appl Math & Theoret Phys, Cambridge CB3 9EW, EnglandTekniska högskolan (creator_code:org_t)

Av författaren/redakt...: Karlin, V; Maz´ya, Vladimir ...; Movchan, AB; Willis, JR; Bullough, R

Kungliga biblioteket hanterar dina personuppgifter i enlighet med EU:s dataskyddsförordning (2018), GDPR. Läs mer om hur det funkar här.
Så här hanterar KB dina uppgifter vid användning av denna tjänst.