Mathematical Theory in Periodic Plane Elasticity

1st Edition

Hai-Tao Cai, Jian-Ke Lu

CRC Press
Published July 6, 2000
Reference - 168 Pages
ISBN 9789056992422 - CAT# TF2961
Series: Modern Analysis Series

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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.

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