In the aim to develop conductive bonded grinding wheels which can efficiently realize high quality ground surfaces for hard and brittle materials in ELID grinding, we developed a new cast iron bonded grinding wheel with air hole. As the first step of this study, a wheel model consisting of rigid abrasive grains and bonds as spring elements with stiffness k is proposed. In this model, grinding abrasives are uniformly arranged in body centered lattice and successive two grains are connected by a bond with static stiffness k. In this study, the cross- section structure of the wheel, static stiffness and frictional wear characteristics were studied, and the fundamental mechanical characteristics of the grinding wheel were estimated.