Mathematical Theory in Periodic Plane Elasticity /

"Presenting the mathematical theory of period problems in plane elasticity by methods of complex variables. The most general formulations of such problems are proposed under the assumption that the stresses are periodic and the displacements are quasi-periodic. The general expression of complex...

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Bibliographic Details
Main Authors: Cai, Hai-Tao (Author), Lu, Jian-Ke (Author)
Corporate Author: Taylor & Francis
Format: eBook
Language:English
Published: Boca Raton, FL : CRC Press, 2014.
Edition:First edition.
Series:Modern Analysis Series
Subjects:
Online Access:Connect to the full text of this electronic book
Description
Summary:"Presenting the mathematical theory of period problems in plane elasticity by methods of complex variables. The most general formulations of such problems are proposed under the assumption that the stresses are periodic and the displacements are quasi-periodic. The general expression of complex displacements are illustrated. Periodic welding problems are studied by reducing them to periodic Riemann boundary value problems. Various periodic problems of the elastic half-plane (fundamental problems, contact problems) are treated and solved by reduction to Riemann-Hilbert boundary value problems with discontinuous coefficient. Periodic crack problems are investigated which are transferred to singular integral equations whose unique solvability is guaranteed."--Provided by publisher.
Physical Description:1 online resource
ISBN:9781482287530