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Out of plane models for composite brickwork-like materials

机译:复合砖砌材料的平面外模型

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A multiscale analysis of out of plane loaded masonry wall is here proposed. This analysis has been developed both in linear elasticity and for the determination of the ultimate strength domain. The term masonry wall has been used with reference to a periodic composite brickwork-like panel. Two textures (stack bond and running bond) are taken into account. In the case of elastic blocks connected by elastic interfaces (I.e. mortar thin joints), an asymptotic model has been performed to obtain an identification of the 3D solid with a 2D Love-Kirchhoff plate model. Furthermore in the case of infinitely rigid blocks connected by elastic interfaces, also the shear effects have been taken into account leading to the identification of a Reissner-Mindlin homogenized plate model. The bending constants of both Love-Kirchhoff and Reissner-Mindlin models are the same, while the shear constants of the Reissner-Mindlin model are identified using a simple procedure of compatible identification between a 3D discrete model and a 2D one.The multiscale approach is also used for the determination of the ultimate strength domain of a periodic brickwork made of 3D rigid and infinitely resistant blocks and mortar joints modeled as no tension Mohr-Coulomb interfaces. The panel is modeled as a homogeneous Love-Kirchhoff plate. A kinematic approach has been performed in the case of stack bond masonry. Hence, both a projection of the homogenized strength domain, when the moment M_(12) is zero, and the bounds on the extreme values of M_(12) have been analytically obtained.
机译:本文提出了平面外砌体墙的多尺度分析。在线性弹性和极限强度域的确定方面都进行了这种分析。砌体墙一词已用于表示周期性复合砖砌状面板。考虑了两个纹理(堆栈键和连续键)。对于通过弹性界面(即,砂浆细缝)连接的弹性块,已执行渐近模型以使用2D Love-Kirchhoff平板模型获得3D实体的标识。此外,在通过弹性界面连接的无限刚性块的情况下,还考虑了剪切效应,从而确定了Reissner-Mindlin均质板模型。 Love-Kirchhoff模型和Reissner-Mindlin模型的弯曲常数是相同的,而Reissner-Mindlin模型的剪切常数是使用3D离散模型和2D模型之间的兼容识别的简单过程来确定的。还用于确定由3D刚性且无限抵抗的砌块和砂浆缝制成的周期性砖砌结构的极限强度范围,该模型建模为无张力的Mohr-Coulomb界面。面板建模为均匀的Love-Kirchhoff板。在堆叠结合砌体的情况下,已经采用了运动学方法。因此,当力矩M_(12)为零时,均质强度域的投影和M_(12)的极值的边界都已通过分析获得。

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