Analytical solutions and numerical tests of elastic and failure behaviors of close-packed lattice for brittle rocks and crystals

摘要: [1] Analytical solutions of elastic properties and failure modes a two-dimensional close-packed discrete element model are proposed. Based on the assumption small deformation, conversion formulas between five inter-particle parameters lattice rock mechanical were derived. Using formulas, can be determined by Young's modulus (E), Poisson's ratio (v), tensile strength (Tu), compressive (Cu), coefficient intrinsic friction (μi). The defined simulates behaviors rocks crystals therefore used to investigate initiation development geological structures quantitatively. Furthermore, also provide theoretical basis for calibration random assemblies. quartz was as an example validate test errors. simulated results show that E v converge values when particle number increases. These almost constant magnitude strain is lower than 10−3. Tu Cu single three-element unit consistent with formulas. However, due boundary effects stress concentrations, lattices multiple units predicted Therefore, greater in counteract this effect. applicable simulation complicated involve deformation at different scales.