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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28.08.2013 Views

Development of testing methods for measuring the effect of mode III loading at the crack tip on fracture toughness and fatigue crack growth rates, is necessary for the development of accurate damage assessment tools for analysis of the residual strength and lifetime of debonded sandwich composites. In the last chapters of the thesis, fatigue experiments were conducted on sandwich panels with a circular debond to validate the developed 3D numerical scheme. However, to fully examine the effectiveness of the developed numerical scheme and its limitations, more experiments on more complex geometries like curved structures and loading conditions, such as e.g. lateral pressure and in-plane compression, should be conducted. Additionally, since direct access to the crack in debonded panels is not possible, methods of measurement such as FBG sensors or ultra-sonics should be used instead of DIC technique to obtain better measurement of the debond growth. Different finite element based models have been put forward in this thesis based on fracture mechanics tools. However, all these models are limited to very simple, small geometries due to the need for high-density mesh at the crack tip (front) and practical/geometrical limitations regarding the generation of 3D finite element models in complex large geometries. In summary, in the case of damage assessment of large structures the global response of the structure should be accounted for in these models making the resulting finite element model extremely computationally heavy. An important step in further development of the devised damage assessment schemes is to develop new methodologies for the analysis of delamination/debonding in composite structures, taking into account the global response of the structures. The submodelling concept, as used in Chapters 2 and 3 of this thesis, can be used in a new way which allows for coupling between the global response of the structure and the local effects of the damage. As schematically described in Figure 6.1, an iterative procedure may be devised which couples the global complete model of structures and a detailed model of the damaged region as developed in this thesis. The global stiffness properties and behaviour of a structure, e.g. a wind turbine blade, can be determined using finite element modelling of the blade by shell elements as the first step. By reducing the stiffness of the elements in the damaged zone the effect of initial damage on the global behaviour of the structure can be estimated. The displacement boundary conditions of the 3D submodel, detailing the damaged zone of the structure, are subsequently updated on the basis of the results from the global shell finite element model by shell to solid submodelling technique, which is available in most of the commercial finite element software like ANSYS. The detailed analysis of the damaged zone can be conducted by means of state-ofthe-art fracture mechanics tools developed in this thesis. In the case of cyclic loading by determining the debond growth at the end of each cycle (cycle jump), the geometry of the debond can be updated in the global shell model accordingly. Finally, the global shell FE model of the blade can be reconstructed once again and the procedure is repeated for the next iteration, e.g. loading cycle. Thus, it is possible to overcome the scale limitations and couple the local scale effects of the debond damage with the global scale response of the blade. 134

As an alternative approach to modelling of the global structure using shell elements, which may be computationally expensive, beam cross sectional analysis, see e.g. Blasques et al. (2011), may be applied to analysis of the global response of the structure and extraction of interpolated boundary conditions in the cutting boundaries of the detailed submodel. Moreover, the cross section stiffness properties of the beam are then recomputed based on a 2D finite element representation of the cross section where the shape of the debonded area has been updated. Figure 6.1: Schematic presentation of the suggested multi-scale approach to the analysis of debond damaged sandwich structures. 135

Development <strong>of</strong> testing methods for measuring the effect <strong>of</strong> mode III loading at the crack tip on<br />

fracture toughness <strong>and</strong> fatigue crack growth rates, is necessary for the development <strong>of</strong> accurate<br />

damage assessment tools for analysis <strong>of</strong> the residual strength <strong>and</strong> lifetime <strong>of</strong> debonded s<strong>and</strong>wich<br />

composites.<br />

In the last chapters <strong>of</strong> the thesis, fatigue experiments were conducted on s<strong>and</strong>wich panels with a<br />

circular debond to validate the developed 3D numerical scheme. However, to fully examine the<br />

effectiveness <strong>of</strong> the developed numerical scheme <strong>and</strong> its limitations, more experiments on more<br />

complex geometries like curved structures <strong>and</strong> loading conditions, such as e.g. lateral pressure<br />

<strong>and</strong> in-plane compression, should be conducted. Additionally, since direct access to the crack in<br />

debonded panels is not possible, methods <strong>of</strong> measurement such as FBG sensors or ultra-sonics<br />

should be used instead <strong>of</strong> DIC technique to obtain better measurement <strong>of</strong> the debond growth.<br />

Different finite element based models have been put forward in this thesis based on fracture<br />

mechanics tools. However, all these models are limited to very simple, small geometries due to<br />

the need for high-density mesh at the crack tip (front) <strong>and</strong> practical/geometrical limitations<br />

regarding the generation <strong>of</strong> 3D finite element models in complex large geometries. In summary,<br />

in the case <strong>of</strong> damage assessment <strong>of</strong> large structures the global response <strong>of</strong> the structure should<br />

be accounted for in these models making the resulting finite element model extremely<br />

computationally heavy. An important step in further development <strong>of</strong> the devised damage<br />

assessment schemes is to develop new methodologies for the analysis <strong>of</strong> delamination/debonding<br />

in composite structures, taking into account the global response <strong>of</strong> the structures. The<br />

submodelling concept, as used in Chapters 2 <strong>and</strong> 3 <strong>of</strong> this thesis, can be used in a new way which<br />

allows for coupling between the global response <strong>of</strong> the structure <strong>and</strong> the local effects <strong>of</strong> the<br />

damage. As schematically described in Figure 6.1, an iterative procedure may be devised which<br />

couples the global complete model <strong>of</strong> structures <strong>and</strong> a detailed model <strong>of</strong> the damaged region as<br />

developed in this thesis. The global stiffness properties <strong>and</strong> behaviour <strong>of</strong> a structure, e.g. a wind<br />

turbine blade, can be determined using finite element modelling <strong>of</strong> the blade by shell elements as<br />

the first step. By reducing the stiffness <strong>of</strong> the elements in the damaged zone the effect <strong>of</strong> initial<br />

damage on the global behaviour <strong>of</strong> the structure can be estimated. The displacement boundary<br />

conditions <strong>of</strong> the 3D submodel, detailing the damaged zone <strong>of</strong> the structure, are subsequently<br />

updated on the basis <strong>of</strong> the results from the global shell finite element model by shell to solid<br />

submodelling technique, which is available in most <strong>of</strong> the commercial finite element s<strong>of</strong>tware<br />

like ANSYS. The detailed analysis <strong>of</strong> the damaged zone can be conducted by means <strong>of</strong> state-<strong>of</strong>the-art<br />

fracture mechanics tools developed in this thesis. In the case <strong>of</strong> cyclic loading by<br />

determining the debond growth at the end <strong>of</strong> each cycle (cycle jump), the geometry <strong>of</strong> the<br />

debond can be updated in the global shell model accordingly. Finally, the global shell FE model<br />

<strong>of</strong> the blade can be reconstructed once again <strong>and</strong> the procedure is repeated for the next iteration,<br />

e.g. loading cycle. Thus, it is possible to overcome the scale limitations <strong>and</strong> couple the local<br />

scale effects <strong>of</strong> the debond damage with the global scale response <strong>of</strong> the blade.<br />

134

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