BOUNDARY INTEGRAL EQUATIONS FOR PLANE ORTHOTROPIC BODIES IN A DUAL FORMULATION

Abstract

The paper presents a dual formulation for plane problems assuming an orthotropic body. In the dual formulation of plane problems stress functions of order one and the rotation field constitute the fundamental variables. The stresses and strains are regarded respectively as intermediate variables of the first and second kind. The field equations include those resulting in stresses in terms of stress functions, Hooke's law, the equations of compatibility and the rotational equilibrium equation. In order to formulate the equation of the direct method we have determined the fundamental solutions of order one and two, established the Somigliana identities and the Somigliana formulae, presented a numerical algorithm and solutions to some test problems.