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Limit analysis of masonry vaults by means of curved shell finite elements and homogenization

机译:用弯壳有限元和均质化的砌体拱顶极限分析。

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摘要

In this paper, a new six-noded triangular curved element, specifically developed for the kinematic limit analysis of masonry shells, is presented. Plastic dissipation is allowed only at the interfaces (generalized cylindrical hinges) between adjoining elements for combined membrane actions, bending moment, torsion and out-of-plane shear, as it is required for the analysis of thick (Reissner-Mindlin) shells. An upper bound of the collapse load is so obtained, since, looking at the dual formulation, the admissibility of the stress state is imposed only at the element boundaries. Masonry strength domain at each interface between contiguous triangular elements is evaluated resorting to a suitable upper bound FE homogenization procedure. The model is assessed through several numerical simulations on a number of masonry shells experimentally tested until collapse. In particular, the dependence of the collapse multiplier on the mesh and on the material parameters (sensitivity analysis) is thoroughly discussed.
机译:在本文中,提出了一种新的六节点三角弯曲单元,专门为砌体壳体的运动极限分析而开发。塑性耗散仅允许在相邻元件之间的界面(通用圆柱铰链)处进行,以进行组合的膜作用,弯矩,扭转和平面外剪切,这是分析厚(Reissner-Mindlin)壳体所需的。这样求得塌陷载荷的上限,因为从对偶公式看,应力状态的容许性仅施加在单元边界上。借助合适的上限有限元均化程序,评估连续三角形元素之间每个界面处的砌体强度域。该模型是通过对数个砌体壳体进行数次数值模拟而评估的,这些砌体壳体经过实验测试直至坍塌。特别是,彻底讨论了崩溃倍增对网格和材料参数的依赖性(灵敏度分析)。

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