Fr. 190.00

Mathematical Theory in Periodic Plane Elasticity

English · Hardback

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Description

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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.


List of contents

1. Periodic Boundary Value Problems for Analytic Functions 2. Periodic Problems for Isotropic Material in Plane Elastic Problems 3. Periodic Problems for Anistropic Medium 4. Problems with Periodic Moving Loads on Isotropic Elastic Half-Plane 5. Periodic Crack Problems in Plane Elasticity 6. Doubly-Periodic Problems in Plane Elasticity

About the author










Hai-Tao Cai, Jian-Ke Lu

Product details

Authors Hai-Tao Cai, Jian-Ke Lu
Publisher Taylor and Francis
 
Languages English
Product format Hardback
Released 06.07.2000
 
EAN 9789056992422
ISBN 978-90-5699-242-2
No. of pages 168
Weight 408 g
Series Modern Analysis Series
Subjects Natural sciences, medicine, IT, technology > Mathematics > Miscellaneous

MATHEMATICS / General, Mathematics

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