Abstract

An important topic of the Collaborative Research Centre TRR 30 of the Deutsche Forschungsgemeinschaft (DFG) is the crack growth behaviour in graded materials. In addition, the growth of cracks in the neighbourhood of regions and through regions with different material properties belongs under this topic. Due to the different material properties, regions with differing stiffness compared to the base material may arise. Regions with differing stiffness also arise from ribs, grooves or boreholes. Since secure findings on the propagation behaviour of fatigue cracks are essential for the evaluation of the safety of components and structures, the growth of cracks near changes in stiffness has to be considered, too. Depending on the way a crack penetrates the zone of influence of such a change in stiffness and depending on whether this region is more compliant or stiffer than the surrounding area the crack may grow towards or away from this region. Both cases result in curved crack paths that cannot be explained only by the global loading situation. To evaluate the influence of regions with differing stiffness on the path of fatigue cracks the paths and the stress intensity factors of cracks growing near and through regions with differing stiffness are numerically determined with the program system ADAPCRACK3D. Therefore, arrangements of changes in stiffness modelled as material inclusions with stiffness properties different from the base material or modelled as ribs and grooves are systematically varied to develop basic conclusions about the crack growth behaviour near and through changes in stiffness.

Highlights

  • A n important topic of the Collaborative Research Centre TRR 30 of the Deutsche Forschungsgemeinschaft (DFG) is the crack propagation behaviour in graded materials

  • If the crack crosses the change in stiffness, the crack growth behaviour reverses

  • Crack growth simulations with the CT-specimen with a change in stiffness with Youngs modulus double the default Youngs modulus and an orientation angle α = 45° are executed with crack growth increments of 0.2mm, 0.5mm und 1mm

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Summary

INTRODUCTION

A n important topic of the Collaborative Research Centre TRR 30 of the Deutsche Forschungsgemeinschaft (DFG) is the crack propagation behaviour in graded materials. The growth of cracks in the neighbourhood of material boundaries belongs under this topic. Material inclusions represent regions with stiffness properties different from the base material and the boundaries of these regions represent local changes in stiffness. If the crack crosses the change in stiffness, the crack growth behaviour reverses. If the region with different stiffness is locally bordered, the crack may grow around this region. All mentioned cases result in curved crack paths. Curved crack paths result from mixed mode loading at the crack tip. Thereby in general the basic crack opening modes co-occur, see Fig. 1. Mode II is valid for shear loading causing in-plane sliding of the crack surfaces. Mode III represents shear loading generating anti-plane sliding of the crack surfaces

Mode III
NEIGHBOURHOOD OF CHANGES IN STIFFNESS
VERIFICATION OF THE CRACK GROWTH SIMULATIONS
CRACK PATHS FOR DIFFERENT ORIENTATIONS OF AN INCLUSION
CRACK PATHS FOR STIFF CHANGES IN STIFFNESS
CRACK PATHS FOR COMPLIANT CHANGES IN STIFFNESS
COMPARISON OF CRACK PATHS FOR STIFF AND COMPLIANT CHANGES IN STIFFNESS
EI EI
CONCLUSIONS
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