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 引用本文: 李春光, 朱宇飞, 刘丰, 邓琴, 郑宏. 下限问题中新的莫尔-库仑屈服面线性化方法[J]. 力学学报, 2013, 45(2): 245-250.
Li Chunguang, Zhu Yufei, Liu Feng, Deng Qin, Zheng Hong. A NEW LINEARIZATION METHOD OF MOHR-COULOMB YIELD SURFACE FOR LOWER BOUND PROBLEMS[J]. Chinese Journal of Theoretical and Applied Mechanics, 2013, 45(2): 245-250.
 Citation: Li Chunguang, Zhu Yufei, Liu Feng, Deng Qin, Zheng Hong. A NEW LINEARIZATION METHOD OF MOHR-COULOMB YIELD SURFACE FOR LOWER BOUND PROBLEMS[J]. Chinese Journal of Theoretical and Applied Mechanics, 2013, 45(2): 245-250.

## A NEW LINEARIZATION METHOD OF MOHR-COULOMB YIELD SURFACE FOR LOWER BOUND PROBLEMS

• 摘要: 相比极限平衡法,基于下限原理的极限分析法具有更严谨的力学基础,且得到的安全系数偏于安全,更具有实用价值. 尽管很多学者对其进行了有益的研究,然而经典的线性化方法不能解决一般的强度各向异性问题. 在方位角离散化的基础上,建立各离散方位平面上的屈服条件,同时引入伪黏聚力以保证其具有下限性质.算例表明,该方法可以稳定地从极限解的下方收敛. 该方法不仅丰富了基于线性规划模型的下限有限元理论,而且为材料各向异性本构问题的计算打下了理论基础.

Abstract: Compared with the limit equilibrium method, the lower limit analysis has a more rigorous mechanics foundation, and the safety factor acquired by the lower limit analysis is more conservative and valuable. Although many scholars have done many useful researches on it, however, the classical linearization method cannot solve the general problem of the anisotropy of strength. In this paper, spatial discretization is implemented, and the yield criterions on the discrete directions are built. Finally, pseudo cohesion is introduced to keep the property of lower bound analysis. The examples show that the result can converge to exact solution stably from below. Proposed method not only enriches the lower bound theory based FEM and linear programming, also lays a solid foundation for anisotropic problems.

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