Residual Strength and Fatigue Lifetime of ... - Solid Mechanics

Residual Strength and Fatigue Lifetime of ... - Solid Mechanics Residual Strength and Fatigue Lifetime of ... - Solid Mechanics

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For the specimens with H250 core the crack first propagated in the core due to the initial crack location after pre-cracking. The crack consequently kinked into the interface due to the presence of negative mode-mixity phase angle and large fracture toughness of the H250 core. The interface crack eventually kinked into the face sheet, which resulted in large-scale fibre bridging. A 2D finite element model of the STT specimen was developed to determine the mode-mixity phase angle and the energy release rate at the crack tip of the STT specimens. To characterise the interface fatigue behaviour of the STT specimens, fatigue tests were conducted on Mixed Mode Bending (MMB) specimens at a mode-mixity phase angle similar to that of the STT specimens. The resulting da/dN vs. G relations generated by the MMB fatigue tests were utilised in the developed crack growth finite element routine to simulate fatigue crack growth in the STT specimens. To choose appropriate control parameters, simulations with different control parameters were performed. A convergence analysis was conducted and an appropriate control parameter was chosen. Simulations of the H45 STT specimens showed a very high dependency on the control parameters. During the initial cycles, simulations using different control parameters showed small differences, but as the unstable crack growth zone was approached the deviation became larger. This dependency is attributed to the extrapolations in the transition from stable to unstable crack growth zone and the extreme non-linearity of this transition, which implies the importance of appropriate choice of control parameters in the case of highly nonlinear problems. With smaller control parameters the crack growth diagrams converged to one diagram since the cycle jump scheme was able to extrapolate accurately the stable-unstable crack transition zone by performing small or no jumps. H100 specimens, due to less non-linearity and stable crack growth, showed much less dependency to the control parameters. The developed finite element models were validated against the conducted fatigue tests. Simulations of the specimens with H100 core showed fair accuracy compared to the fatigue experiments. However, the simulation of the H45 specimens was much less accurate due to unstable crack growth observed in the fatigue experiments of the H45 STT specimens. Since the interface fatigue characterisation using the MMB specimens was only conducted for the stable linear part of the crack growth rates diagram (Paris’ regime), the resulting da/dN vs. G relation was not valid for unstable crack growth observed during the experiment of the H45 STT specimens and produced incorrect results. To validate the 3D fatigue crack growth numerical scheme, it was used to simulate fatigue crack growth in sandwich panels with a circular debond. Fatigue tests were carried out on a limited number of debonded sandwich panel specimens with a circular face/core debond at the centre with H45 PVC core and glass/polyester face sheets. It was observed that the crack initially kinks into the core and continues to propagate below the resin-rich core cells at the core. Because of a similar mode-mixity at the crack tip and similar face/core materials, da/dN vs. G relations from the MMB tests obtained previously were employed as input to the crack growth routine. A convergence analysis was conducted for different control parameter values to choose appropriate 132

control parameters. Simulations of the debonded sandwich panels showed fair accuracy compared to the fatigue experiments with a maximum deviation of 7 mm in determination of the debond diameter. This deviation can be attributed to the crude crack length measurement technique using the DIC technique, which was based on out-of-plane deflections of the debond and scatter of the input crack growth rates data. The presented 2D and 3D accelerated fatigue crack growth schemes proved to be reliable tools for the simulation of stable fatigue crack growth. However, for highly non-linear problems the presented method should be used more carefully. To reduce the uncertainties concerning the simulation of highly non-linear problems, a convergence sensitivity analysis must be carried out due to a strong dependency of the accuracy of the cycle jump method on the control parameters. 6.4 Future Works This thesis was an effort to develop different methodologies for studying with the residual strength and fatigue lifetime of debonded sandwich composites. The study was carried out at two main levels: 1) A material level by characterisation of face/core interface behaviour of foam cored sandwich composites under static or cyclic loading. 2) A structural level by finite element modelling and testing of debonded sandwich columns, panels, and X-joints. At the material level different types of PVC foam/GFRP interfaces were characterised under static or cyclic loading at different mode-mixities. The fracture toughness of different foam/GFRP interfaces was determined by use of TSD and MMB specimens for a full range of negative mode-mixity phase angles. However, the fatigue characterisation of the face/core interface was only conducted for one negative mode-mixity phase angle. A full fatigue characterisation of a face/core interface for a large range of mode-mixities is necessary for a general use of the proposed fatigue crack growth simulation scheme. Furthermore, in this thesis only linear elastic fracture mechanics was employed for determination of fracture parameters, which is not valid where the fracture process zone is large compared to the dimensions of the specimen, e.g. when fibre bridging occurs, which was often observed in the testing of interfaces with heavier foams. Cohesive zone modelling utilising cohesive laws along with a kinking criterion can be incorporated in the developed fatigue crack growth scheme to simulate kinking and fatigue crack growth in the presence of fibre bridging. In Chapter 4 a very short analysis of the distribution of the mode III energy release along the debond front in debonded sandwich panels was presented. Results showed that in some cases the mode III effects are significant and need to be taken into account. However, there have not been many studies addressing the mode III loading problem at the crack tip in a bimaterial interface. 133

For the specimens with H250 core the crack first propagated in the core due to the initial<br />

crack location after pre-cracking. The crack consequently kinked into the interface due to<br />

the presence <strong>of</strong> negative mode-mixity phase angle <strong>and</strong> large fracture toughness <strong>of</strong> the<br />

H250 core. The interface crack eventually kinked into the face sheet, which resulted in<br />

large-scale fibre bridging.<br />

A 2D finite element model <strong>of</strong> the STT specimen was developed to determine the mode-mixity<br />

phase angle <strong>and</strong> the energy release rate at the crack tip <strong>of</strong> the STT specimens. To characterise the<br />

interface fatigue behaviour <strong>of</strong> the STT specimens, fatigue tests were conducted on Mixed Mode<br />

Bending (MMB) specimens at a mode-mixity phase angle similar to that <strong>of</strong> the STT specimens.<br />

The resulting da/dN vs. G relations generated by the MMB fatigue tests were utilised in the<br />

developed crack growth finite element routine to simulate fatigue crack growth in the STT<br />

specimens. To choose appropriate control parameters, simulations with different control<br />

parameters were performed. A convergence analysis was conducted <strong>and</strong> an appropriate control<br />

parameter was chosen. Simulations <strong>of</strong> the H45 STT specimens showed a very high dependency<br />

on the control parameters. During the initial cycles, simulations using different control<br />

parameters showed small differences, but as the unstable crack growth zone was approached the<br />

deviation became larger. This dependency is attributed to the extrapolations in the transition<br />

from stable to unstable crack growth zone <strong>and</strong> the extreme non-linearity <strong>of</strong> this transition, which<br />

implies the importance <strong>of</strong> appropriate choice <strong>of</strong> control parameters in the case <strong>of</strong> highly nonlinear<br />

problems. With smaller control parameters the crack growth diagrams converged to one<br />

diagram since the cycle jump scheme was able to extrapolate accurately the stable-unstable crack<br />

transition zone by performing small or no jumps. H100 specimens, due to less non-linearity <strong>and</strong><br />

stable crack growth, showed much less dependency to the control parameters. The developed<br />

finite element models were validated against the conducted fatigue tests. Simulations <strong>of</strong> the<br />

specimens with H100 core showed fair accuracy compared to the fatigue experiments. However,<br />

the simulation <strong>of</strong> the H45 specimens was much less accurate due to unstable crack growth<br />

observed in the fatigue experiments <strong>of</strong> the H45 STT specimens. Since the interface fatigue<br />

characterisation using the MMB specimens was only conducted for the stable linear part <strong>of</strong> the<br />

crack growth rates diagram (Paris’ regime), the resulting da/dN vs. G relation was not valid for<br />

unstable crack growth observed during the experiment <strong>of</strong> the H45 STT specimens <strong>and</strong> produced<br />

incorrect results.<br />

To validate the 3D fatigue crack growth numerical scheme, it was used to simulate fatigue crack<br />

growth in s<strong>and</strong>wich panels with a circular debond. <strong>Fatigue</strong> tests were carried out on a limited<br />

number <strong>of</strong> debonded s<strong>and</strong>wich panel specimens with a circular face/core debond at the centre<br />

with H45 PVC core <strong>and</strong> glass/polyester face sheets. It was observed that the crack initially kinks<br />

into the core <strong>and</strong> continues to propagate below the resin-rich core cells at the core. Because <strong>of</strong> a<br />

similar mode-mixity at the crack tip <strong>and</strong> similar face/core materials, da/dN vs. G relations from<br />

the MMB tests obtained previously were employed as input to the crack growth routine. A<br />

convergence analysis was conducted for different control parameter values to choose appropriate<br />

132

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