Two unique multiphase volume elements were developed in this paper against the mechanical performance analysis problem of mullite ceramic material. They realized consideration of multiple materials in an element domain using the local strain correction of material property on each integral point and used tensile modulus for evaluating the three-dimensional domain component of stiffness tensor alternatively on the basis of adjusting interpolation function on the Gaussian point using one-dimensional spring analog method. Finally, the valid analysis was made on mechanical property and microstructure of mullite ceramic material through analysis of phase and microstructure.