用于评估碎玻璃承载能力的相场断裂模型

Mauro Corrado, A. Chao Correas, Giulio Ventura
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摘要

玻璃作为结构材料的使用突出表明,需要更可靠的数值方法来分析其机械行为,尤其是在意外断裂的情况下。事实上,建立断裂夹层玻璃的行为模型是评估断裂后承载能力的基础。然而,这是一项极具挑战性的任务,因为存在许多相互影响的因素,例如夹层的粘弹性和热依赖行为、高度复杂多变的裂纹模式以及碎片之间的相互作用。本研究的目标是开发和测试一种稳健的数值模型,该模型可以将生成的裂纹模式自然引入虚拟试样,并管理许多碎片之间的相互作用。本文探讨了相场断裂模型,通过分配损伤变量来适应预先存在的裂纹模式。然后,对试样进行加载,让相场管理碎片之间的相互作用。应力张量与损伤变量的关系在此通过裂隙-偏差模型进行定义,因为该模型可防止完全损伤区域传递拉伸和剪切应力,同时保持其承受压缩力的能力。事实上,该模型可以渐进地再现现有裂纹唇之间的单侧无摩擦接触条件。本文讨论了初步的案例研究,以检验建议方法的潜力。
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Phase Field Fracture Model for Assessing the Load Bearing Capacity of Fractured Glass
The use of glass as structural material has highlighted the need for more reliable numerical approaches to analyze its mechanical behavior, especially in the accidental eventuality of fracture. Modelling the behavior of fractured laminated glass, in fact, is fundamental to assess the Post-Fracture load-bearing capacity. However, this is a highly challenging task because of the many interplaying factors, such as the viscoelastic and thermal-dependent behavior of the interlayer, the presence of a highly complex and variable crack pattern and the interaction among fragments. The objective of the present work is the development and testing of a robust numerical model that can naturally introduce the generated crack pattern into virtual specimens and manage the interaction among many fragments. The phase field fracture model is herein explored, by assigning the damage variable to fit the pre-existing crack pattern. Then, the specimen is loaded letting the phase field managing the fragments interaction. The dependence of the stress tensor with the damage variable is herein defined through the Cleavage-Deviatoric model, since it prevents fully damaged regions from transmitting tensile and shear stresses yet keeping their ability to bear compressive forces. Indeed, this model can asymptotically reproduce unilateral and frictionless contact conditions between the existing crack lips. Preliminary case studies are discussed to check the potentiality of the proposed approach.
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