Simulation of delamination initiation and subsequent propagation using cohesive zones

Maofen Zhang, Daoguo Yang, L. Ernst, Bingbing Zhang
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Abstract

Delamination is one of the main problems in electronic packaging due to the relatively weak adhesion strength of interfaces. Delamination failure includes two processes: crack initiation and crack propagation. Various experimental setups and theories have been built to study these processes. Among these studies the cohesive zone method being implemented in various finite element packages is becoming a popular tool for crack propagation modelling. In our previous work [1–4] the efficient use of cohesive zone modelling of the delamination propagation process of pre-cracked samples was discussed. Here also an appropriate method to establish the cohesive zone parameters was given. Among this a fitting method to establish the critical energy release rate through cohesive zone modelling was presented. Although the modelling of delamination propagation for packages with assumed pre-cracks at various spots now is quite feasible, in the thermal-mechanical designing of packages the initiation of delamination (without assumed pre-cracks) is much more important. Therefore, the present work primarily focuses on applying the cohesive zone method for the modelling of the initiation of delamination, followed by the subsequent delamination propagation. The paper will primarily investigate the crack initiation (without pre-crack) for a chosen interface. The influences of mesh size, number of loading increments and the critical stress values are investigated and discussed in detail. The computing time is considered and compared for various settings, such as to overcome convergence problems. The present study will help to make proper choices for future correct and economically feasible simulations of delamination initiation and subsequent propagation.
利用内聚带模拟分层的产生和随后的扩展
分层是电子封装中的主要问题之一,由于界面的粘附强度相对较弱。分层破坏包括裂纹萌生和裂纹扩展两个过程。已经建立了各种实验装置和理论来研究这些过程。在这些研究中,在各种有限元软件包中实施的内聚区方法正在成为一种流行的裂纹扩展建模工具。在我们之前的工作[1-4]中,讨论了有效利用内聚区模型来模拟预裂样品的分层扩展过程。给出了一种合适的建立黏结区参数的方法。其中,提出了一种通过黏聚区建模建立临界能量释放率的拟合方法。虽然目前对各点假定有预裂纹的包装进行分层扩展的建模是可行的,但在包装的热力学设计中,分层的起始(不假定有预裂纹)更为重要。因此,目前的工作主要集中在应用内聚区方法来模拟分层的开始,然后是随后的分层传播。本文将主要研究所选界面的裂纹萌生(不含预裂纹)。对网格尺寸、加载增量数和临界应力值的影响进行了详细的研究和讨论。考虑并比较了各种设置下的计算时间,例如克服收敛问题。本文的研究将有助于今后正确的、经济上可行的分层起始和后续扩展模拟做出正确的选择。
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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