Abstract: In this paper,the elastic solutions of concentrated force acting in orthogonal anisotropic half-plane are derived by imaginal method and the formulae of coefficient matrix for constant element are put forward.To solve half-plane problems numerically by BEM,this paper provides the necessary formulae.Because the expressions of fundamental solutions are very simple,the object functions could be obtained for every integral of constant element and higher order element of indirect BEM.Thus,the procedure of integration could be avoided in calculation program