THE RELATION BETWEEN THE EQUATIONS OF THE 2-DIMENSIONAL THEORY OF ELASTICITY FOR ANISOTROPIC AND ISOTROPIC BODIES

The two-dimensional problem of the theory of elasticity for an isotrop ic body is reduced to the solution of the problem for an anisotropic b ody. Small additional terms are introduced into the biharmonic operato r of the problem of the theory of elasticity of an isotropic body, so that the generalized biharmonic operator obtained has no multiple root s. The general solution is then represented in terms of a function of the generalized complex variables, and numerical investigations for is otropic and anisotropic bodies are carried out using the same algorith ms. The effectiveness of such a replacement is demonstrated in numeric al investigations for simplify connected and multiply connected region s of arbitrary section. (C) 1998 Elsevier Science Ltd. All rights rese rved.