Moreno-Mateos Miguel Angel, Steinmann Paul
Institute of Applied Mechanics, Friedrich-Alexander-Universität Erlangen-Nürnberg, Egerlandstr. 5, 91058 Erlangen, Germany.
Glasgow Computational Engineering Centre, School of Engineering, University of Glasgow, Glasgow, G12 8QQ United Kingdom.
NPJ Comput Mater. 2024;10(1):282. doi: 10.1038/s41524-024-01489-y. Epub 2024 Dec 16.
Large deformations of soft materials are customarily associated with strong constitutive and geometrical nonlinearities that originate new modes of fracture. Some isotropic materials can develop strong fracture anisotropy, which manifests as modifications of the crack path. Sideways cracking occurs when the crack deviates to propagate in the loading direction, rather than perpendicular to it. This fracture mode results from higher resistance to propagation perpendicular to the principal stretch direction. It has been argued that such fracture anisotropy is related to deformation-induced anisotropy resulting from the microstructural stretching of polymer chains and, in strain-crystallizing elastomers, strain-induced crystallization mechanisms. However, the precise variation of the fracture behavior with the degree of crosslinking remains to be understood. Leveraging experiments and computational simulations, here we show that the tendency of a crack to propagate sideways in the two component Elastosil P7670 increases with the degree of crosslinking. We explore the mixing ratio for the synthesis of the elastomer that establishes the transition from forward to sideways fracturing. To assist the investigations, we construct a novel phase-field model for fracture where the critical energy release rate is directly related to the crosslinking degree. Our results demonstrate that fracture anisotropy can be modulated during the synthesis of the polymer. Then, we propose a roadmap with composite soft structures with low and highly crosslinked phases that allow for control over fracture, arresting and/or directing the fracture. The smart combination of the phases enables soft structures with enhanced fracture tolerance and reduced stiffness. By extending our computational framework as a virtual testbed, we capture the fracture performance of the composite samples and enable predictions based on more intricate composite unit cells. Overall, our work offers promising avenues for enhancing the fracture toughness of soft polymers.
软材料的大变形通常与强烈的本构和几何非线性相关,这些非线性会引发新的断裂模式。一些各向同性材料会产生强烈的断裂各向异性,表现为裂纹路径的改变。当裂纹偏离垂直于加载方向而沿加载方向扩展时,就会发生侧向开裂。这种断裂模式是由于垂直于主拉伸方向的扩展阻力更高所致。有人认为,这种断裂各向异性与聚合物链微观结构拉伸以及应变结晶弹性体中的应变诱导结晶机制所导致的变形诱导各向异性有关。然而,断裂行为随交联度的精确变化仍有待了解。利用实验和计算模拟,我们在此表明,在双组分硅橡胶Elastosil P7670中,裂纹侧向扩展的趋势随交联度增加。我们探索了合成弹性体的混合比,该混合比确定了从正向断裂到侧向断裂的转变。为辅助研究,我们构建了一个新颖的断裂相场模型,其中临界能量释放率与交联度直接相关。我们的结果表明,在聚合物合成过程中可以调节断裂各向异性。然后,我们提出了一个路线图,涉及具有低交联相和高交联相的复合软结构,可实现对断裂的控制,阻止和/或引导断裂。各相的巧妙组合使软结构具有更高的断裂耐受性和更低的刚度。通过将我们的计算框架扩展为虚拟试验台,我们捕捉了复合样品的断裂性能,并能够基于更复杂的复合单胞进行预测。总体而言,我们的工作为提高软聚合物的断裂韧性提供了有前景的途径。