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基于虚功原理的Hill稳定条件可较为明确地判定岩土材料的局部稳定性和整体稳定性:当地基系统的局部二阶功小于0时,材料点局部潜在失稳;当地基的整体二阶功小于0时,地基系统达到极限状态,整体潜在失稳。对ABAQUS进行了二次开发,使Hill稳定条件与有限元法相结合,求解胶结钙质土地基中条形锚板的抗拔承载力。研究结果表明,对于条形锚板在摩擦型岩土材料中的抗拔承载力问题,采用有限元方法结合Hill稳定条件,能较好地预测地基失稳范围和潜在失稳区域,失稳判据明确,易于确定极限荷载,并能较为准确地描述锚板的承载力系数及其随埋深的变化规律。利用有限元法结合Hill稳定条件求解承载力问题的思路和方法是有效和可行的,有明确的物理意义和力学理论基础,应用方便,值得进一步研究、推广并应用于较为复杂的岩土工程问题。
The Hill stability conditions based on the virtual work principle can determine the local stability and overall stability of the geomaterials more clearly: when the local second-order work of the foundation system is less than 0, the potential instability of the material points locally; When the work is less than 0, the foundation system reaches the limit state and the overall potential instability. The secondary development of ABAQUS was carried out, and the Hill stability condition was combined with the finite element method to solve the pull-up bearing capacity of strip anchor in cemented calcareous soil. The results show that the finite element method combined with Hill stability condition can predict the buckling range and potential instability region of the foundation effectively and the buckling criterion It is clear, easy to determine the ultimate load, and can more accurately describe the bearing capacity coefficient of anchor plate and its variation with the depth. It is effective and feasible to use finite element method and Hill stability conditions to solve bearing capacity problem. It has clear physical meaning and mechanics theory, which is easy to be applied. It is worth to further study, promote and apply to more complex geotechnical engineering problems .