Mathematical Theory in Periodic Plane Elasticity
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A01=Hai-Tao Cai
A01=Jian-Ke Lu
anisotropic elasticity
Author_Hai-Tao Cai
Author_Jian-Ke Lu
boundary value analysis
Category=PB
Cauchy Type Integrals
complex
Complex Stress Functions
complex variable methods
Cos
Double Periodicity
Elastic Body
Elastic Half Plane
Elastic Plane
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Eral Theory
external
function
functions
holomorphic
Homogeneous Problem
Im Cot
Im Y2
isotropic materials
lower
Lower Half Plane
Non-homogeneous Problem
Ordinary Node
Ox Ox Ox
periodic crack modelling
Periodic Holes
Periodic Strip
PMN.
principal
Principal Vectors
quasi-periodic displacements
Riemann Hilbert Boundary
Singular Integral Equation
singular integral equations
stress
Stress Functions
Stress Intensity Factors
stresses
vectors
XIP
ZI
Product details
- ISBN 9789056992422
- Weight: 408g
- Dimensions: 156 x 234mm
- Publication Date: 06 Jul 2000
- Publisher: Taylor & Francis Ltd
- Publication City/Country: GB
- Product Form: Hardback
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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.
