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Limit analysis for no-tension and frictional three-dimensional discrete systems

机译:无张力和摩擦三维离散系统的极限分析

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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. [References: 25]
机译:诸如砖砌体或岩石材料之类的砌体材料被建模为干式接触中刚性块体的离散系统。考虑了压缩和摩擦相互作用。实现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。考虑了在块界面处的铰接,滑动和扭曲的机制。非线性规划问题的解决方案,对应于在界面处存在摩擦的极限分析,是通过解决线性规划的初步问题来解决的,该问题对应于界面存在剪胀性时的线性化极限分析。对具有许多自由度的二维和三维系统进行了数值分析。比较和讨论了非线性和线性化解决方案。还给出了实验结果,并与数值解进行了比较。 [参考:25]

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