Interfaces in dynamic brittle fracture of PMMA: a peridynamic analysis

IF 2.2 3区工程技术 Q3 MATERIALS SCIENCE, MULTIDISCIPLINARY

International Journal of Fracture Pub Date : 2023-08-19 DOI:10.1007/s10704-023-00731-w

Longzhen Wang, Javad Mehrmashhadi, Florin Bobaru

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Abstract

Recent experiments in bonded PMMA layers have shown dramatic changes in dynamic crack growth characteristics depending on the interface location and its toughness. We present a peridynamic (PD) analysis of the problem and identify three necessary elements in a model aimed at reproducing the observed dynamic fracture behavior at an interface in PMMA: (1) softening near the crack tip to account for changes in PMMA properties due to heat-generation induced by the high strain rates reached around the crack tip in dynamic fracture, (2) independence of extension (mode I) and shear (mode II) modes of fracture, and (3) a two-parameter bond-failure model, that can match both strength and fracture toughness for any horizon size. The PD model with these elements captures the experimentally observed dynamic fracture characteristics in bi-layer PMMA: the presence/absence of crack branching at the interface, depending on the interface location; cracks running along the interface for a while before punching through the second PMMA layer; slight crack path oscillations as the cracks approach the free surface. The computed crack speed profiles are close to those measured experimentally. The simulations help explain the observed behavior of dynamic crack growth through an interface. The model shows an enlargement of the fracture process zone when the cracks running along the interface penetrate into the second PMMA layer, as observed experimentally. This is where nonlocality of the PD model becomes relevant and critical.

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PMMA动态脆性断裂界面的周动力学分析

最近在粘合 PMMA 层中进行的实验表明，动态裂纹生长特性会因界面位置及其韧性而发生巨大变化。我们对这一问题进行了周动态 (PD) 分析，并确定了模型中的三个必要元素，以重现在 PMMA 接口处观察到的动态断裂行为：(1) 裂纹尖端附近的软化，以解释由于动态断裂中裂纹尖端周围达到的高应变率所引起的热量产生而导致的 PMMA 性能变化；(2) 拉伸（模式 I）和剪切（模式 II）断裂模式的独立性；以及 (3) 双参数粘结-断裂模型，该模型可与任何水平面尺寸的强度和断裂韧性相匹配。包含这些元素的 PD 模型捕捉到了实验观察到的双层 PMMA 的动态断裂特征：根据界面位置的不同，在界面上存在/不存在裂纹分支；裂纹在冲破第二层 PMMA 之前沿界面运行一段时间；裂纹接近自由表面时出现轻微的裂纹路径振荡。计算得出的裂纹速度曲线与实验测量结果接近。模拟结果有助于解释观察到的穿过界面的动态裂纹生长行为。模型显示，当沿着界面的裂纹穿透第二层 PMMA 时，断裂过程区会扩大，这与实验观察到的情况相同。这正是 PD 模型的非局部性变得重要和关键的地方。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

International Journal of Fracture 物理-材料科学：综合

CiteScore

4.80

自引率

8.00%

发文量

审稿时长

13.5 months

期刊介绍： The International Journal of Fracture is an outlet for original analytical, numerical and experimental contributions which provide improved understanding of the mechanisms of micro and macro fracture in all materials, and their engineering implications. The Journal is pleased to receive papers from engineers and scientists working in various aspects of fracture. Contributions emphasizing empirical correlations, unanalyzed experimental results or routine numerical computations, while representing important necessary aspects of certain fatigue, strength, and fracture analyses, will normally be discouraged; occasional review papers in these as well as other areas are welcomed. Innovative and in-depth engineering applications of fracture theory are also encouraged. In addition, the Journal welcomes, for rapid publication, Brief Notes in Fracture and Micromechanics which serve the Journal''s Objective. Brief Notes include: Brief presentation of a new idea, concept or method; new experimental observations or methods of significance; short notes of quality that do not amount to full length papers; discussion of previously published work in the Journal, and Brief Notes Errata.