Title | Modeling mixed-mode fracture propagation in isotropic elastic three dimensional solid |
Publication Type | Journal Article |
Year of Publication | 2013 |
Authors | Meng, C, Maerten, F, Pollard, DD |
Journal | International Journal of Fracture |
Volume | 179 |
Issue | 1-2 |
Pagination | 45 - 57 |
Date Published | Jan-01-2013 |
ISSN | 0376-9429 |
Abstract | A planar fracture when subjected to sufficient tensile and shear stresses will propagate off-plane, in what is known as mixed-mode propagation. Predicting the fracture path relies on an accurate calculation of the near-tip stress and an appropriate propagation criterion. The new criterion we present scales the propagation magnitude and direction with the near-tip tensile stress in the form of vectors that originate from the fracture tip-line. Boundary element method (BEM) models enable us to calculate the near-tip stress field of an arbitrary fracture. We use analytical Eshelby’s solution that evaluates near-tip stress of an ellipsoidal fracture to validate the BEM results. We feed the near-tip stress to the propagation criterion to determine the propagation vectors, and grow the BEM mesh by adding new tip-elements whose size and orientation are given by the propagation vectors. Then, we feed the new mesh back to the BEM to calculate the new near-tip stress. By running the BEM and the propagation criterion in a loop, we are able to model 3D fracture propagation. |
URL | https://link.springer.com/article/10.1007%2Fs10704-012-9771-6 |
DOI | 10.1007/s10704-012-9771-6 |
Short Title | Int J Fract |