Applications of symmetry methods in basic problems of orthotropic

Abstract

We discuss basic problems of orthotropic elasticity in a plane domain whose boundary is a piecewise-algebraic curve. First, by means of bi-analytic functions, a basic problem is reduced to a boundary value problem for analytic functions. Then, by use of the generalized symmetry principle for algebraic curves, a boundary value problem for analytic functions is converted to a problem on a Riemann surface; then the solution to the original problem is obtained in closed form for a domain with algebraic boundaries having genusρ≥0

Keywords:

• Orthotropic elasticity
• symmetry method
• riemann surface boundary value problems/

AMS:

• 73C02
• 35J25
• 31A35