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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Mathematical Theory in Periodic Plane Elasticity

Mathematical Theory in Periodic Plane Elasticity

Cai, Hai-Tao
Lu, Jian-Ke

Hardcover

Series: Modern Analysis

General MathematicsPhysics

ISBN10: 9056992422
ISBN13: 9789056992422
Publisher: CRC Press
Published: Jul 6 2000
Pages: 168
Weight: 0.90
Height: 0.60 Width: 6.16 Depth: 9.20
Language: English
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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