软质结构化薄板极端变形的系统性双尺度图像分析
Systematic two-scale image analysis of extreme deformations in soft architectured sheets
AI总结：
本文提出适配的多尺度数字图像相关方法，结合有限元与桁架-铰链模型，定量分析软质结构化薄板在极端拉剪变形下的局部与整体响应。
摘要：
结构化材料的多尺度特性，使得人们需要先进的实验方法来识别其有效性能，尤其是在材料尺寸有限且经历极端变形时。本工作表明，最先进的图像处理方法与数值及解析模型相结合，能够全面定量地描述这些固体及其整体行为，包括边界条件、制造过程以及几何和本构非线性的影响。为此，本文采用一种经过适配的多尺度数字图像相关分析，在材料的局部尺度和整体（均匀化）尺度上同时追踪单胞特定特征的伸长和旋转。这使得人们能够以前所未有的清晰度观察结构中不同单胞的应变，并检测整体变形模式以及均匀化应变分布的非均匀性。该方法在经历极端纵向变形和剪切变形的弹性薄板上得到了演示。这些实验结果与非线性有限元模拟进行了比较；有限元模拟还被用于评估制造缺陷对响应的影响。随后，从实验中提取结构化固体的骨架表示，并用于建立一个纯运动学桁架-铰链模型，该模型能够准确捕捉其行为。本工作提出的分析可以扩展，用于指导具有其他规则、准规则或梯度图案，并承受其他类型载荷的二维结构化固体设计。
英文摘要：
The multi-scale nature of architectured materials raises the need for advanced experimental methods suitable for the identification of their effective properties, especially when their size is finite and they undergo extreme deformations. The present work demonstrates that state-of-the art image processing methods combined with numerical and analytical models provide a comprehensive quantitative description of these solids and their global behaviour, including the influence of the boundary conditions, of the manufacturing process, and of geometric and constitutive non-linearities. To this end, an adapted multi-scale digital image correlation analysis is used to track both elongations and rotations of particular features of the unit cell at the local and global (homogenized) scale of the material. This permits to observe with unprecedented clarity the strains for various unit cells in the structure and to detect global deformation patterns and heterogeneities of the homogenized strain distribution. This method is here demonstrated on elastic sheets undergoing extreme longitudinal and shear deformations. These experimental results are compared to non-linear finite element simulations, which are also used to evaluate the effects of manufacturing imperfections on the response. A skeletal representation of the architectured solid is then extracted from the experiments and used to create a purely-kinematic truss-hinge model that can accurately capture its behaviour. The analysis proposed in this work can be extended to guide the design of two-dimensional architectured solids featuring other regular, quasi-regular or graded patterns, and subjected to other types of loads.
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