FURTHER IMPROVEMENT ON FUNDAMENTAL SOLUTIONS OF PLANE PROBLEMS FOR ORTHOTROPIC MATERIALS

摘要

On the basis of the existing fundamental solutions of displacements, further improvement is made, and then the general fundamental solutions of both plane elastic and plane plastic, problems for ortho-tropic materials are obtained. Two parameters based on material constants α_1, α_2 are used to derive the relevant expressions in a real variable form. Additionally, an analytical method of solving the singular integral for the internal stresses is introduced, and the corresponding results are given. If α_1 = α_2 = 1, all the expressions obtained for orthotropy can be reduced to the corresponding ones for isotropy. Because all these expressions and results can be directly used for both isotropic problems and orthotropic problems, it is convenient to use them in engineering with the boundary element method (BEM).