| The mechanical properties of granular materials are determined by considering their underlying microstructure and inter-granular force-displacement relations inspired by the atomistic-level particle interactions. Potential functions are developed according to the loading condition and incremental stiffness at the grain scale is calculated. Two different energy approaches, kinematic and static approaches are utilized to obtain the stiffness of the whole material. Closed form solutions for anisotropic materials are developed and applied on bone, dentin and wood to determine their stiffness in normal and tangential direction. A program is made in visual Basic to support the micromechanical model, which can perform tests like Uniaxial, Biaxial and Triaxial loading and also perform cyclic loadings. These calculations are compared with experimentally measured data for cohesive materials. |
