Numerical simulation of the interaction between a crack and an inclusion: The role of T -stress for 2D composite materials
Multidiscipline Modeling in Materials and Structures
ISSN: 1573-6105
Article publication date: 5 February 2018
Issue publication date: 24 May 2018
Abstract
Purpose
The purpose of this paper is to propose the interaction integral method combing with a XFEM-based local mesh replacement method to evaluate both the stress intensity factors (SIFs) and T-stress at the crack tip near a circular inclusion.
Design/methodology/approach
Special attention is pay to the effect of T-stress on crack initiation angle in 2D composite medium. The generalized maximum tangential stress criterion is employed during the simulation which simultaneously involves the effects of the mixed-mode SIFs, the T-stress and a physical length scale rc (the size of the fracture process zone).
Findings
It is shown that T-stress could affect the crack initiation angle significantly for mixed-mode conditions. Varies types of material mismatch are also considered and their influences on T-stress are given quantitatively.
Originality/value
The proposed numerical method allows a considerable flexibility for such problems and provides a basic framework for quasi-static crack growth in materials containing complex interfaces.
Keywords
Acknowledgements
This work is sponsored by the National Natural Science Foundation of China under Grant Nos 11390362, 11702186 and 11402160.
Citation
Wang, Z., Gu, J., Hou, C. and Song, M. (2018), "Numerical simulation of the interaction between a crack and an inclusion: The role of
Publisher
:Emerald Publishing Limited
Copyright © 2018, Emerald Publishing Limited