Function theoretic solutions to problems of orthotropic elasticity
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 reduced by means of composite transformations to normal form. These are the so- called equations for bianalytic functions of the type (\(\lambda\) k). 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.
two-dimensional orthotropic elastic body
scientific article; zbMATH DE number 3900237