Cap Model for Limit Analysis and Strengthening of Masonry Structures
Cap Model for Limit Analysis and Strengthening of Masonry Structures
复制标题
用于砌体结构极限分析和加固的帽模型
DOI：
10.1061/(asce)0733-9445(2003)129:10(1367
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发表时间：
2003
期刊：
影响因子：
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通讯作者：
P. Lourenço
中科院分区：
文献类型：
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作者：
A. Orduña;P. Lourenço
本文提出了刚性砌块结构极限分析的一般方法，可用于古代砌体结构的评估。该方法考虑了砌体的非关联流动规律和极限压应力。由该公式导出的数学规划问题是一个非线性优化问题。通过求解混合互补问题得到可行的初始解，第二步暂时放宽互补约束，以便优化负载因子。在刚性砌块配方中加入一个约束元素，允许进行加固分析和设计。给出并讨论了用计算机实现该方法得到的几个结果。通过与试验数据的对比，验证了该方法的有效性，同时也表明了该方法在更好地了解古代砌体结构的性能方面的优势。
This paper presents a general method for the limit analysis of structures made of rigid blocks, which can be used in the assessment of ancient masonry structures. This method takes into account nonassociated flow rules and limited compressive stresses for masonry. The mathematical programming problem resulting from the formulation is a nonlinear optimization problem. The feasible initial solution is obtained by solving a mixed complementarity problem while, in a second step, the complementarity constraint is temporarily relaxed to allow for optimizing the load factor. A tie element added to the rigid block formulation permits the analysis and design of strengthening. Several results, obtained by a computer implementation of the method, are presented and discussed. The results show the validity of the method by comparison with experimental data, and also show the benefit of the approach in providing a better insight into the behavior of ancient masonry structures.