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Effective elastic and fracture properties of regular and irregular masonry from nonlinear homogenization

机译:非线性均质化规律和不规则砌体的有效弹性和断裂性能

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Prediction of effective elastic and strength parameters of both regular and irregular masonry walls from homogenization is presented. To that end, the widely accepted first order homogenization method is adopted to provide the homogenized elastic stiffnesses or compliances as well as macroscopic parameters of the selected nonlinear constitutive models. These include the tensile and compressive strength and fracture energies of a generally orthotropic material extracted from the computationally derived macroscopic stress strain curves. In this regard, two types of boundary/loading conditions resulting from the strain-based and mix type formulation of the homogenization problem are examined. The response provided by an orthotropic damage model, expected to describe the behavior of the homogenized structure on macroscale, is compared to that derived via a classical isotropic scalar damage model. It reveals that strong constraints of the orthotropic damage model offer results inapplicable for estimating the macroscopic fracture properties thus promoting the application of a simple isotropic damage model when solving the homogenization problem. The results also show that the mixed boundary conditions, allowing us to represent a pure tension/compression loading mode while being capable of tracking the softening branch of the stress & ndash;strain curve, deliver the response comparable to that of a purely strain based formulation. (c) 2021 Elsevier Ltd. All rights reserved.
机译:介绍了均质化均质化常规和不规则砌体壁的有效弹性和强度参数的预测。为此,采用广泛接受的第一阶均质化方法来提供所选择的非线性本构模型的均匀弹性刚度或促进和均匀参数。这些包括从计算衍生的宏观应力应变曲线中提取的大致正式材料的拉伸和抗压强度和断裂能量。在这方面,研究了由基于应变和混合类型制剂产生的两种类型的边界/装载条件进行了均质化问题。通过经典各向同性标量损伤模型来将预期描述宏观结构的均质结构的行为提供的正向损伤模型提供的响应。它揭示了正交损伤模型的强制限制率不适用于估计宏观骨折性质,从而促进在解决均质化问题时促进简单的各向同性损伤模型的应用。结果还表明,混合边界条件,允许我们表示纯张力/压缩加载模式,同时能够跟踪应力和Ndash的软化分支;应变曲线,提供与基于纯菌株的配方相当的响应。 (c)2021 elestvier有限公司保留所有权利。

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