A theoretical and computational investigation of mixed mode creep crack growth along an interface
A theoretical and computational investigation of mixed mode creep crack growth along an interface
复制标题
混合模式蠕变裂纹沿界面扩展的理论和计算研究
DOI：
10.1007/s10704-021-00534-x
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发表时间：
2021
影响因子：
2.5
通讯作者：
Elmukashfi E
中科院分区：
文献类型：
--
作者：
Elmukashfi E
本文提出了稳态蠕变条件下混合模式（I和II）蠕变裂纹扩展的理论框架。我们特别关注了沿界面的蠕变裂纹扩展问题，其断裂性能比位于界面两侧的大块材料弱。本文扩展了前人提出的ⅰ型蠕变裂纹扩展的理论框架。体积行为用幂律蠕变来描述，并提出了考虑模式混合的损伤区模型来模拟裂纹尖端之前的断裂过程。用有效牵引和分离速率耦合不同断裂模式来定义损伤模型的牵引-分离速率规律。介绍了简单临界位移模型、经验Kachanov型损伤模型和基于细观力学的损伤模型。利用积分分析和量纲分析的路径无关性，建立了双悬臂梁试件在弯矩和切向力作用下的混合模式稳态裂纹扩展的解析模型。然后用有限元法实现了计算框架。解析模型根据详细的有限元模型进行校准，并根据无因次量（即几何和材料长度尺度的比例）、模态混合以及变形和损伤耦合参数确定缩放函数（）。我们证明了函数的形式不随模态混合而改变；但其数值取决于模态混合度、变形与损伤耦合参数以及损伤区域的具体形态。最后，我们演示了如何从模式I和II加载条件下的蠕变变形，蠕变破裂和裂纹扩展实验中获得模型中的参数。
In this paper, we propose a theoretical framework for studying mixed mode (I and II) creep crack growth under steady state creep conditions. In particular, we focus on the problem of creep crack growth along an interface, whose fracture properties are weaker than the bulk material, located either side of the interface. The theoretical framework of creep crack growth under mode I, previously proposed by the authors, is extended. The bulk behaviour is described by a power-law creep, and damage zone models that account for mode mixity are proposed to model the fracture process ahead of a crack tip. The damage model is described by a traction-separation rate law that is defined in terms of effective traction and separation rate which couple the different fracture modes. Different models are introduced, namely, a simple critical displacement model, empirical Kachanov type damage models and a micromechanical based model. Using the path independence of the-integral and dimensional analysis, analytical models are developed for mixed mode steady-state crack growth in a double cantilever beam specimen (DCB) subjected to combined bending moments and tangential forces. A computational framework is then implemented using the Finite Element method. The analytical models are calibrated against detailed Finite Element models and a scaling function () is determined in terms of a dimensionless quantity(which is the ratio of geometric and material length scales), mode mixityand the deformation and damage coupling parameters. We demonstrate that the form of the-function does not change with mode mixity; however, its value depends on the mode mixity, the deformation and damage coupling parameters and the detailed form of the damage zone. Finally, we demonstrate how parameters within the models can be obtained from creep deformation, creep rupture and crack growth experiments for mode I and II loading conditions.
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