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Function theoretic solutions to problems of orthotropic elasticity

✍ Scribed by Robert P. Gilbert; Lin Wei

Publisher
Springer Netherlands
Year
1985
Tongue
English
Weight
431 KB
Volume
15
Category
Article
ISSN
0374-3535

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✦ Synopsis

The plane strain problem for a two dimensional orthotropic elastic body is investigated. In particular analytic representations for the solution of the displacement boundary value problem and the stress boundary value problems are found. To this end, the Navier equations are reducrd by means of composite transformations to normal form. These are the so-called equations for bianalytic function of the type (hk). The generalized Cauchy integral formula for this function theory is used to obtain representation formulae. A simplified method to solve these problems by bianalytic function theory is given for certain situations of plane strain for an orthotropic elastic body. AMS (MOS): 35A20, 35CO5, 35G15, 35J55.

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