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刚塑性结构极限分析问题中的一个新算法
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作者 薛国新 黄筑平 王仁 《计算结构力学及其应用》 CSCD 1990年第4期11-22,共12页
本文首先将一个由理想刚塑性材料构成的框架的极限分析问题中的上限定理化归为求形如:的凸函数最小值的问题,在此基础上提出了计算上述函数最小值的一个新的递归算法。本文方法与线性规划中的几种方法相比,有明显的优越性。它不仅具有... 本文首先将一个由理想刚塑性材料构成的框架的极限分析问题中的上限定理化归为求形如:的凸函数最小值的问题,在此基础上提出了计算上述函数最小值的一个新的递归算法。本文方法与线性规划中的几种方法相比,有明显的优越性。它不仅具有明确的几何意义,而且对规模较大的问题,能节省大量的计算机时。 展开更多
关键词 刚塑性结构 极限 框架
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理想刚塑性结构极限分析的数学规划算法
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作者 郄禄文 严宗达 《河北大学学报(自然科学版)》 CAS 1998年第1期5-8,共4页
从塑性极限分析理论的上限定理出发,将理想刚塑性结构极限分析问题归化为求:f(x1,x2,…,xn)=∑Ri=1∑nj=1aijxj+bi的凸函数的最小值及最小值点的问题,给出了解决上述问题的数学规划算法。
关键词 极限分析 凸函数 刚塑性结构 数学规划算法
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Stability and reinforcement analysis of rock slope based on elasto-plastic finite element method 被引量:3
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作者 刘耀儒 武哲书 +2 位作者 常强 李波 杨强 《Journal of Central South University》 SCIE EI CAS CSCD 2015年第7期2739-2751,共13页
The rigid body limit equilibrium method(RBLEM) and finite element method(FEM) are two widely used approaches for rock slope's stability analysis currently. RBLEM introduced plethoric assumptions; while traditional... The rigid body limit equilibrium method(RBLEM) and finite element method(FEM) are two widely used approaches for rock slope's stability analysis currently. RBLEM introduced plethoric assumptions; while traditional FEM relied on artificial factors when determining factor of safety(FOS) and sliding surfaces. Based on the definition of structure instability that an elasto-plastic structure is not stable if it is unable to satisfy simultaneously equilibrium condition, kinematical admissibility and constitutive equations under given external loads, deformation reinforcement theory(DRT) is developed. With this theory, plastic complementary energy(PCE) can be used to evaluate the overall stability of rock slope, and the unbalanced force beyond the yield surface could be the identification of local failure. Compared with traditional slope stability analysis approaches, the PCE norm curve to strength reduced factor is introduced and the unbalanced force is applied to the determination of key sliding surfaces and required reinforcement. Typical and important issues in rock slope stability are tested in TFINE(a three-dimensional nonlinear finite element program), which is further applied to several representatives of high rock slope's stability evaluation and reinforcement engineering practice in southwest of China. 展开更多
关键词 stability analysis rock slope plastic complementary energy(PCE) unbalanced forces elasto-plasticity FEM
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