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Advanced Numerical Strategies for the Analysis of Masonry Vaults in the Non-Linear Range: Two Cases of Damage induced by the 2012 Emilia Romagna Earthquake

机译:非线性范围内砌体拱顶分析的先进数值策略:2012年艾米利亚罗马纳地震引起的两种损害

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This paper presents some numerical results obtained with advanced finite element numerical methods applied to the analysis of masonry vaults up to collapse. To be reliable, any procedure adopted should take into account the distinctive aspects of masonry mechanical behavior, namely the low (or zero) tensile strength, the good compressive resistance, high friction coefficient and the importance of the overall geometry for achieving the equilibrium. Classic no-tension material models, whilst relatively simple, disregard the little but not null tensile strength and make the additional simplifying hypothesis of (1) infinitely elastic behavior in compression and (2) isotropy, giving thus the possibility to deal with either semi-analytical approaches (especially for arches) or robust numerical procedures. More advanced models are used in these study cases, for suitably reproducing the little tensile strength with softening, as well as the finite strength in compression (crushing). Two case studies of vaults severely damaged by the recent Emilia Romagna earthquake are analyzed, namely the Giulio II's cross vault placed in the main tower of the fortress of San Felice sul Panaro and the two cross vaults of Torre Fornasini in Poggio Renatico, both severely damaged by the long seismic sequence in May 2012. Alternative standard numerical procedures have been also utilized for comparison purpose. A direct validation of the crack patterns found numerically with those observed during the post-seismic surveys is also possible in the last case.
机译:本文介绍了采用先进的有限元数值方法获得的一些数值效果,应用于砌体拱顶的分析。要保持可靠,所采用的任何程序都应考虑到砌体机械行为的独特方面,即低(或零)拉伸强度,良好的抗压性,高摩擦系数和整体几何形状来实现平衡。经典的无张力材料模型,虽然相对简单,但无视小而不为零张力强度,并使(1)压缩中的无限弹性行为的额外简化假设和(2)各向同位,因此可以处理半球的可能性分析方法(特别是拱门)或强大的数值程序。在这些研究案例中使用更先进的模型,适当地再现具有软化的小抗拉强度,以及压缩(破碎)的有限强度。拱顶受近期艾米利亚 - 罗马涅大地震严重破坏的两个案例进行了分析,即朱利奥二世的交叉拱顶放在圣费利切苏尔帕纳罗的堡垒和波焦雷纳蒂科托雷Fornasini的两个交叉拱顶的主塔,既严重破坏通过2012年5月的长地震序列。还用于比较目的的替代标准数值手术。在最后一个情况下,也可以直接验证与在后地震后调查期间观察到的那些数字的裂缝图案也是可能的。

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