Stroh finite element for two-dimensional linear anisotropic elastic solids

A general solution satisfying the strain-displacement relation. the stress- strain laws and the equilibrium conditions has been obtained in Stroh forma lism for the generalized two-dimensional anisotropic elasticity. The genera l solution contains three arbitrary complex functions which are the basis o f the whole field stresses and deformations. By selecting these arbitrary f unctions to be linens or quadratic, and following the direct finite element formulation, a new finite element satisfying both the compatibility and eq uilibrium within each element is developed in this paper: A computer window s program is then coded by using the FORTRAN and Visual Basic languages. Tw o numerical examples are shown to illustrate the performance of this newly developed finite element. One is the uniform stress field problem, the othe r is the stress concentration problem.