The complex function method was used in the solution of micropolar elastici
ty theory around cavity in an infinite elasticity plane. In complex plane,
the general solution of two dimension micropolar elasticity theory is given
. The solution comes from analytic function and "Zonal Function". The bound
ary conditions of non-circular cavity are satisfied by using the conformal
mapping method. Based on the method, a general approach solving the stress
concentration in micropolar elasticity theory is established. Finally, the
numerical calculation is carried out to the stress concentration coefficien
t of circular cavity.