Abstract
This paper presents a method for the automatic simulation of quasi-static crack growth in 2D linear elastic bodies with existing cracks. A finite element algorithm, based on the so-called θ{symbol} method, provides the load vs. crack extension curves in the case of rectilinear crack propagation. Since the approach is both theoretically general and simple to be performed from a computational point of view, it could be extended for describing the phenomenon of crack growth in different fracture mechanics contexts.
| Original language | English |
|---|---|
| Pages (from-to) | 1727-1738 |
| Number of pages | 12 |
| Journal | Engineering Fracture Mechanics |
| Volume | 74 |
| Issue number | 11 |
| DOIs | |
| Publication status | Published - 1 Jul 2007 |
| MoE publication type | A1 Journal article-refereed |
Funding
The authors whish to thank Prof. Rolf Stenberg who made possible the collaboration work for this research at the Institute of Mathematics (HUT, Finland). The research was funded in the context of the following projects: (i) “SMART Systems, New Materials, Adaptive Systems and their Nonlinearities. Modeling and Computation” (European Research and Training Network, identifier number: HPRN-CT-2002-00284); (ii) “A thermomechanics based fracture assessment method for structural components” (Academy of Finland, project number: 55375); (iii) “Foundation of Computational Mechanics” (Academy of Finland, project number: 121426).
Keywords
- ϑ method
- Finite element method (FEM)
- Linear elastic fracture mechanics (LEFM)
- Quasi-static crack propagation
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