Mo Chengyang, Raney Jordan R, Bassani John L
Department of Mechanical Engineering and Applied Mechanics, University of Pennsylvania Philadelphia, PA, USA, 19104.
J Mech Phys Solids. 2022 Jan;158. doi: 10.1016/j.jmps.2021.104653. Epub 2021 Oct 19.
A crack terminating at an arbitrary angle to the interface between two neo-Hookean sheets is investigated under plane stress conditions using finite deformation theory. The asymptotic crack-tip deformation and stress fields are analyzed as a function of the ratio of the moduli and the angle of the crack relative to the interface. Full-held numerical calculations and experimental studies validate the analytical results. A stretch-based crack growth criterion is developed using crack-tip held solutions. Such criterion can predict the delay of crack growth through the bi-material interface observed in experiments and can be extended to any heterogeneity and material.
在平面应力条件下,利用有限变形理论研究了终止于两个新胡克薄板界面任意角度的裂纹。分析了渐近裂纹尖端变形和应力场作为模量比和裂纹相对于界面角度的函数。全尺寸数值计算和实验研究验证了分析结果。利用裂纹尖端场解建立了基于拉伸的裂纹扩展准则。该准则可以预测实验中观察到的裂纹通过双材料界面扩展的延迟,并且可以扩展到任何非均匀性和材料。