Limit Analysis for No-Tension and Frictional Three-Dimensional Discrete Systems*
Limit Analysis for No-Tension and Frictional Three-Dimensional Discrete Systems*
复制标题
无张力和摩擦三维离散系统的极限分析*
DOI：
10.1080/08905459708945496
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发表时间：
1998
期刊：
影响因子：
--
通讯作者：
P. Trovalusci
中科院分区：
文献类型：
--
作者：
C. Baggio;P. Trovalusci
摘要 砌体类材料，例如砖块砌体或岩石材料，被建模为干接触的刚性块的离散系统。考虑压缩和摩擦相互作用。实施了使用非标准极限分析方法确定二维和三维结构的倒塌载荷的计算机程序。考虑了块界面处的铰接、滑动和扭曲机制。非线性规划问题的解（对应于界面存在摩擦时的极限分析）是通过求解线性规划的初步问题（对应于界面存在剪胀时的线性化极限分析）来获得的。对具有多个自由度的二维和三维系统进行数值分析。比较和讨论了非线性和线性化的解决方案。还给出了实验结果并与数值解进行了比较。
ABSTRACT Masonry-like materials, such as brick-block masonry or rocky materials, are modelled as discrete systems of rigid blocks in dry contact. Compressive and frictional interactions are considered. A computer procedure to determine the collapse load for two and three dimensional structures using a non-standard limit analysis approach is implemented. The mechanisms of hingeing, sliding, and twisting at the block interfaces are accounted for. The solution of the problem of non linear programming, corresponding to limit analysis in the presence of friction at interfaces, is obtained by solving a preliminary problem of linear programming, corresponding to a linearized limit analysis in the presence of dilatancy at the interfaces. Numerical analyses are performed for two and three dimensional systems with many degrees of freedom. The non linear and linearized solutions are compared and discussed. Experimental results are also presented and compared with the numerical solutions.