Numerical limit analysis-based modelling of masonry structures subjected to large displacements
Numerical limit analysis-based modelling of masonry structures subjected to large displacements
复制标题
基于数值极限分析的大位移砌体结构建模
DOI：
10.1016/j.compstruc.2020.106372
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发表时间：
2021
影响因子：
4.7
通讯作者：
P. Block
中科院分区：
文献类型：
--
作者：
A. Iannuzzo;A. Dell’Endice;T. Mele;P. Block
在本文中，我们介绍了一个扩展的分段刚性位移（PRD）的方法来解决一个通用的二维砌体结构大位移的稳定性。到目前为止，PRD方法已被应用于模拟裂纹在参考配置考虑小位移。在这里，我们调查的裂缝和内力存在大的基础位移，也提供了一种方法来估计其最大允许值。建议的扩展允许占两个机制和相应的内部应力状态的演变，由于不断增加的规定displacement. Benchmarking后的PRD分析的一个尖拱的物理测试和通过离散元建模软件3DEC获得的结果，其强度/使用证明了一个复杂的数值应用程序，基于哥特式大教堂的横截面。此外，在这种情况下，PRD的结果进行了比较与3DEC分析显示良好的协议方面的裂缝演化，内部应力状态和位移能力。本文显示了PRD方法在几秒钟内解决砌体结构领域中的一个关键问题的能力，即同时在机制和力方面的大基础位移的影响。
In this paper, we introduce an extension of the piecewise rigid displacement (PRD) method for addressing the stability of a generic two-dimensional masonry structure subjected to large displacements. So far, the PRD method has been applied to simulate cracks in the reference configuration considering small displacements. Here, we investigate both cracks and internal forces in the presence of large foundation displacements, also providing an approach to estimate their maximum allowable value. The proposed extension allows accounting for the evolution of both mechanism and corresponding internal stress state due to the increasing prescribed displacements.After benchmarking the PRD analysis of a pointed arch with a physical test and results obtained through the Discrete Element Modelling software 3DEC, its strength/use is demonstrated on a complex numerical application, based on the cross-section of a Gothic cathedral. Also in this case, the PRD results are compared with a 3DEC analysis showing good agreement in terms of cracks evolution, internal stress states and displacement capacity. This paper shows the ability of the PRD method in solving in a few seconds a critical issue in the field of masonry structures that is, the effects of large foundation displacements, both in terms of mechanisms and forces, simultaneously.