双粘弹性材料界面裂纹的断裂分析

Fracture Analysis of Interface Crack Between Two Viscoelastic Material

推导了本构关系由 Prony 级数描述的粘弹性材料的粘弹性常数,针对受Ⅰ、Ⅱ、Ⅲ型外载作用的双粘弹性材料无限大板界面裂纹,用 Laplace 变换将其时域基本方程变换到频域,根据对应原理,将粘弹性常数代入弹性解,得到频域中的粘弹性解。采用修正的 Durbin 数值反变换,得到了离散的时域解,并与近似变换方法的解进行了比较。讨论了能量释放率与外载相位角的关系以及粘弹性材料常数对能量释放率的影响。

Viscoelastic parameters of material described by Prony series have been deduced in this paper,by using Laplace transform,basic equations of static Interface Crack in Viscoelastic Infinite Body Under Type Ⅰ,Ⅱ,Ⅲ Load are changed into Laplace area to get a viscoelastic solution.By using modified Durbin numerical inverse transform, discrete solution in time area is gained.the relationship between energy release rate and phase angle and material paremeters are discussed.