Numerical analysis of dynamic debonding under 2D in-plane and 3D loading
Numerical analysis of dynamic debonding under 2D in-plane and 3D loading
复制标题
2D 面内和 3D 载荷下动态脱粘的数值分析
DOI：
10.1007/978-94-017-2854-6_2
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发表时间：
1998
影响因子：
2.5
通讯作者：
P. Geubelle
中科院分区：
文献类型：
--
作者：
M. Breitenfeld;P. Geubelle
我们提出了专门针对 2D 和 3D 动态脱粘问题开发的数值方案。该方法被称为谱方案，允许对任意形状的静态和/或自发扩展的界面裂纹进行精确建模，并受到时间和空间相关载荷条件的任意组合的影响。它基于沿界面平面的位移分量与相应的动态应力之间存在的弹性动力学关系的谱表示。引入了基于应力的通用内聚破坏模型来模拟界面的自发渐进破坏。该数值方案还允许引入各种接触关系来模拟断裂表面之间可能的相互作用。使用简单的二维问题来研究所提出方案的准确性和稳定性。然后，谱方法用于各种 2D 和 3D 界面断裂问题，特别强调摩擦接触情况下自发扩展脱粘裂纹的极限速度问题。
We present a numerical scheme specially developed for 2D and 3D dynamic debonding problems. The method, referred to as spectral scheme, allows for a precise modeling of stationary and/or spontaneously expanding interfacial cracks of arbitrary shapes and subjected to an arbitrary combination of time- and space-dependent loading conditions. It is based on a spectral representation of the elastodynamic relations existing between the displacement components along the interface plane and the corresponding dynamic stresses. A general stress-based cohesive failure model is introduced to model the spontaneous progressive failure of the interface. The numerical scheme also allows for the introduction of a wide range of contact relations to model the possible interactions between the fracture surfaces. Simple 2D problems are used to investigate the accuracy and stability of the proposed scheme. Then, the spectral method is used in various 2D and 3D interfacial fracture problems, with special emphasis on the issue of the limiting speed for a spontaneously propagating debonding crack in the presence of frictional contact.