摘要
应用统一滑移线场理论 ,研究了刚塑性体平面应变问题和空间轴对称问题的滑移线场理论的控制方程 ,给出了平面应变和轴对称下的统一滑移线场理论 ,并推导出典型边坡和路基极限荷载的统一解 ,当取不同的参数 b及 α时 ,该统一解退化为 Mohr- Coulomb解和 Tresca、Mis-es解 .它能适用于不同的材料和不同的受力情况 ,对充分发挥材料的潜力 。
The control equations of slip line fields under plane strain and axisymmetrical condition for rigid plastic materials are derived based on the theory of unified slip line fields. The unified slip line fields under plane strain and axisymmetrical condition are proposed in this paper. The unified limit loads for typical slope and slope of road base are derived. The solutions based on Mohr-Coulomb, Tresca and Mises criterion are all special cases of the solution in this paper and can be obtained by giving certain value of b and α. The obtained results are suitable for a wide range of materials and various load condition. The potential strength of materials can be fully applied. It is of great importance for engineering application.
基金
国家自然科学基金资助项目 ( 5 0 0 780 46)
