To remove mesh bias and provide an accurate crack path representation in mixed-mode investigation, a novel stress recovery technique is proposed in conjunction with a domain integral and element splits. Based on a domain integral and stress recovery technique, a maximum strain energy release rate is estimated to determine a crack path direction. Then, for a given crack path direction, continuum elements are split, and a cohesive surface element is adaptively inserted. One notes that the proposed stress recovery technique provides a more accurate stress field than a standard stress evaluation procedure. The proposed computational framework is verified and validated by solving mode-I and mixed-mode examples. Computational results demonstrate that the domain integral with the stress recovery accurately evaluates a crack path, even with a lower-quality mesh and under a biaxial stress state. Furthermore, the cohesive surface element approach, with the element split in conjunction with the stress recovery and the domain integral, predicts mixed-mode fracture behaviors while removing mesh bias in the crack path representation. Additionally, the condition numbers of stiffness matrices are within the same order of magnitude during cohesive fracture simulation.
|Number of pages||24|
|Journal||International Journal for Numerical Methods in Engineering|
|Publication status||Published - 2019 Nov 30|
Bibliographical noteFunding Information:
This research was supported by the National Research Foundation of Korea (NRF) through the Basic Science Research Program funded by the Ministry of Science, ICT and Future Planning (NRF-2018R1A2B6007054) and by the Korea Institute of Energy Technology Evaluation and Planning funded by the Ministry of Trade, Industry and Energy (20174030201480). The information presented in this paper is the sole opinion of the authors and does not necessarily reflect the views of the sponsoring agencies.
© 2019 John Wiley & Sons, Ltd.
All Science Journal Classification (ASJC) codes
- Numerical Analysis
- Applied Mathematics