Henzel Thomas, Nijjer Japinder, Chockalingam S, Wahdat Hares, Crosby Alfred J, Yan Jing, Cohen Tal
Department of Civil and Environmental Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139, USA.
Molecular, Cellular and Developmental Biology, Yale University, New Haven, CT 06520, USA.
PNAS Nexus. 2022 Oct 3;1(4):pgac217. doi: 10.1093/pnasnexus/pgac217. eCollection 2022 Sep.
Cavitation has long been recognized as a crucial predictor, or precursor, to the ultimate failure of various materials, ranging from ductile metals to soft and biological materials. Traditionally, cavitation in solids is defined as an unstable expansion of a void or a defect within a material. The critical applied load needed to trigger this instability -- the critical pressure -- is a lengthscale independent material property and has been predicted by numerous theoretical studies for a breadth of constitutive models. While these studies usually assume that cavitation initiates from defects in the bulk of an otherwise homogeneous medium, an alternative and potentially more ubiquitous scenario can occur if the defects are found at interfaces between two distinct media within the body. Such interfaces are becoming increasingly common in modern materials with the use of multimaterial composites and layer-by-layer additive manufacturing methods. However, a criterion to determine the threshold for interfacial failure, in analogy to the bulk cavitation limit, has yet to be reported. In this work, we fill this gap. Our theoretical model captures a lengthscale independent limit for interfacial cavitation, and is shown to agree with our observations at two distinct lengthscales, via two different experimental systems. To further understand the competition between the two cavitation modes (bulk versus interface), we expand our investigation beyond the elastic response to understand the ensuing unstable propagation of delamination at the interface. A phase diagram summarizes these results, showing regimes in which interfacial failure becomes the dominant mechanism.
长期以来,空化一直被认为是各种材料最终失效的关键预测指标或先兆,这些材料包括韧性金属、软质材料和生物材料等。传统上,固体中的空化被定义为材料内部空隙或缺陷的不稳定扩展。引发这种不稳定性所需的临界外加载荷——临界压力——是一种与长度尺度无关的材料属性,并且众多理论研究已针对多种本构模型对其进行了预测。虽然这些研究通常假设空化从原本均匀介质的主体中的缺陷处开始,但如果缺陷出现在体内两种不同介质之间的界面处,就可能出现另一种且可能更普遍的情况。随着多材料复合材料和逐层增材制造方法的使用,这种界面在现代材料中越来越常见。然而,类似于体空化极限,尚未有确定界面失效阈值的标准被报道。在这项工作中,我们填补了这一空白。我们的理论模型捕捉到了界面空化与长度尺度无关的极限,并通过两个不同的实验系统在两个不同的长度尺度上与我们的观察结果相符。为了进一步理解两种空化模式(体空化与界面空化)之间的竞争,我们将研究扩展到弹性响应之外,以了解界面处随后发生的分层不稳定传播。一个相图总结了这些结果,显示了界面失效成为主导机制的区域。