Dedicated to the memory of Professor Osvaldo De Donato.
An eigenerosion approach to brittle fracture
Article first published online: 31 MAY 2012
Copyright © 2012 John Wiley & Sons, Ltd.
International Journal for Numerical Methods in Engineering
Volume 92, Issue 8, pages 694–714, 23 November 2012
How to Cite
Pandolfi, A. and Ortiz, M. (2012), An eigenerosion approach to brittle fracture. Int. J. Numer. Meth. Engng., 92: 694–714. doi: 10.1002/nme.4352
- Issue published online: 25 OCT 2012
- Article first published online: 31 MAY 2012
- Manuscript Accepted: 13 APR 2012
- Manuscript Revised: 10 APR 2012
- Manuscript Received: 24 DEC 2011
- finite elements;
- Griffith's theory of fracture;
- mixed node fracture;
- convergence analysis
The present work is concerned with the verification and validation of a variant of the eigenfracture scheme of Schmidt et al. (2009) based on element erosion, which we refer to as eigenerosion. Eigenerosion is derived from the general eigenfracture scheme by restricting the eigendeformations in a binary sense: they can be either zero, in which case the local behavior is elastic, or they can be equal to the local displacement gradient, in which case the corresponding material neighborhood is failed or eroded. When combined with a finite-element approximation, this scheme gives rise to element erosion, i.e., the elements can be either intact, in which case their behavior is elastic, or be completly failed, or eroded, and have no load bearing capacity. We verify the eigenerosion scheme through comparisons with analytical solutions and through convergence studies for mode I fracture propagation, both in two and three dimensions and for structured and random meshes. Finally, by way of validation, we apply the eigenerosion scheme to the simulation of mixed modes I–III experiments in poly-methyl methacrylate plates. ‡ Copyright © 2012 John Wiley & Sons, Ltd.