A numerical method for elastic and viscoelastic dynamic fracture problems in homogeneous and bimaterial systems

A numerical method for elastic and viscoelastic dynamic fracture problems in homogeneous and bimaterial systems
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均匀双材料系统中弹性和粘弹性动态断裂问题的数值方法

DOI:
10.1007/s004660050211
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发表时间:
1997
影响因子:
4.1
通讯作者:
P. Geubelle
P. Geubelle
中科院分区:
工程技术2区
文献类型:
--
作者:
P. Geubelle

文献摘要

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我们总结了高效数值方案开发的最新进展,该方案可用于研究各种 2D 和 3D 动态断裂问题。该数值方案基于边界积分关系的谱表示,可应用于涉及弹性和粘弹性介质中埋藏的任意形状的平面裂纹和断层的均质界面动态断裂问题。通过将弹动力积分关系与基于应力的内聚破坏模型相结合来实现裂纹的自发扩展。本文的目的是展示反平面剪切(模式 III)加载条件的更简单的二维标量框架内各种公式之间存在的一些主要差异。提供示例来说明该方法的一些功能。
We present a summary of recent advances in the development of an efficient numerical scheme to be used in the investigation of a wide range of 2D and 3D dynamic fracture problems. The numerical scheme, which is based on a spectral representation of the boundary integral relations, can be applied to homogeneous and interfacial dynamic fracture problems involving planar cracks and faults of arbitrary shapes buried in elastic and viscoelastic media. Spontaneous propagation of the crack is achieved by combining the elastodynamic integral relations with a stress-based cohesive failure model. The objective of this paper is to present some of the major differences existing between the various formulations within the simpler 2D scalar framework of anti-plane shear (mode III) loading conditions. Examples are presented to illustrate some capabilities of the method.