History effect in fatigue crack growth under mixed-mode loading conditions
โ Scribed by P.Y. Decreuse; S. Pommier; L. Gentot; S. Pattofatto
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 597 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0142-1123
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โฆ Synopsis
Plastic deformation within the crack tip region introduces internal stresses that modify subsequent behaviour of the crack and are at the origin of history effects in fatigue crack growth. Consequently, fatigue crack growth models should include plasticity-induced history effects. A model was developed and validated for mode I fatigue crack growth under variable amplitude loading conditions. The purpose of this study was to extend this model to mixed-mode loading conditions. Finite element analyses are commonly employed to model crack tip plasticity and were shown to give very satisfactory results. However, if millions of cycles need to be modelled to predict the fatigue behaviour of an industrial component, the finite element method becomes computationally too expensive. By employing a multiscale approach, the local results of FE computations can be brought to the global scale. This approach consists of partitioning the velocity field at the crack tip into plastic and elastic parts. Each part is partitioned into mode I and mode II components, and finally each component is the product of a reference spatial field and an intensity factor. The intensity factor of the mode I and mode II plastic parts of the velocity fields, denoted by dq I /dt and dq II /dt, allow measuring mixed-mode plasticity in the crack tip region at the global scale. Evolutions of dq I /dt and dq II /dt, generated using the FE method for various loading histories, enable the identification of an empirical cyclic elastic-plastic constitutive model for the crack tip region at the global scale. Once identified, this empirical model can be employed, with no need of additional FE computations, resulting in faster computations. With the additional hypothesis that the fatigue crack growth rate and direction can be determined from mixed-mode crack tip plasticity (dq I /dt and dq II /dt), it becomes possible to predict fatigue crack growth under I/II mixed-mode and variable amplitude loading conditions. To compare the predictions of this model with experiments, an asymmetric four point bend test system was setup. It allows applying any mixed-mode loading case from a pure mode I condition to a pure mode II. Initial experimental results showed an increase of the mode I fatigue crack growth rate after the application of a set of mode II overload cycles.
๐ SIMILAR VOLUMES
Surface crack growth process by fatigue is simulated using S-version FEM. Complicated crack growth process in 3-dimensional field under mixed mode loading condition can be modelled easily by this method. Simulation results are compared with experimental ones, and it is pointed out that several facto
Abe&&-A technique for &meting fatigue crack prope&on in notched plates subjected to variable amplitude~boutlincdinthirpeper.Ane~~~tic~~ekmcntmodelisusedtodetermiaetbe eht of notch geometry and the rehal plastic deformations. The analytic model for crack growth is based on an eactive StreSl intensity