Residual Strength and Fatigue Lifetime of ... - Solid Mechanics
Residual Strength and Fatigue Lifetime of ... - Solid Mechanics Residual Strength and Fatigue Lifetime of ... - Solid Mechanics
These peculiar damage modes often result in considering higher safety factors during a design process compared to similar metallic structures, which makes a detailed study of failure modes of sandwich structures essential if maximum structural efficiency is to be reached. Face/core debonding and its propagation are among the most critical damages a sandwich structures may experience, as structural integrity is closely linked to the adequacy of the bonding in the face/core interface in these structures. Debonds may emerge due to production defects, in-service overloading and local loads like impact, see Figure 1.1. A debond may be initiated directly in the face/core interface, in the core just below the resin-rich cells or in the face sheet (for composite face sheets). If a debond emerges in any of these locations, depending on the loading at the crack tip and toughness of other neighbouring layers, it may continue propagating in the original debond position or kink into the core, interface or face sheet, see Figure 1.2. Studies have shown that face/core debonding considerably reduces the load carrying capacity of sandwich structures (Nøkkentved et al., 2005, and Berggreen et al., 2005). A question that arises for debond damaged sandwich structures is that of damage tolerance: how is the structural performance influenced by the presence of debonding? The question of damage tolerance does not only apply to the design and optimisation of sandwich strcutures, but is also relevant to the residual strength and lifetime of already in service structures with minor or major damages. In recent years, a number of analytical and numerical studies have been conducted to predict the initiation and propagation of debonds in sandwich structures exposed to static loading, e.g. Kardomateas and Huang (2003), Sankar and Narayan (2001), Chen and Bai (2002) and Avilés and Carlsson (2007). Furthermore, experiments have been performed to determine the residual strength and identify the failure mechanisms of debonded sandwich structures, e.g. Avery and Sankar (2000), Vadakke and Carlsson (2004) and Xie and Vizzini (2005). Linear Elastic Fracture Mechanics (LEFM) has been extensively used to model debond initiation and propagation where the energy dissipation zone (fracture process zone) is relatively small compared to specimen dimensions, (Hutchinson and Suo, 1992). Furthermore, several studies have dealt with the determination of the fracture toughness of face/core interface in sandwich structures, e.g. Cantwell and Davies (1996), Li and Carlsson (1999) and Østergaard et al. (2007). In sandwich structures with composite face sheets the fracture process zone becomes large due to kinking of the crack into the composite face sheet and consequent fibre bridging which violates LEFM assumptions, see Figure 1.2. As an alternative to LEFM, cohesive zone modelling has been used in the literature, e.g. Lundsgaard-Larsen et al. (2008, 2010) and Østergaard et al. (2008) to model face/core debonding in the presence of fibre bridging. In few studies experiments have been conducted to some extent in order to examine the accuracy of the developed analysis methods in debonded sandwich structures e.g. see Berggreen et al. (2005), Jolma et al. (2007) and Aviles et al. (2006). However, despite all the proposed numerical and analytical methods, a comprehensive study of debond damaged sandwich structures, addressing systematically issues like debond propagation, characterisation of the fracture 2
toughness of the interface at different mode-mixities and finally validation of these methods against experiments is still missing. Regarding the analysis of sandwich composites exposed to cyclic loading only a limited number of studies are found in the literature. Fatigue analyses of undamaged sandwich beams have been conducted by beam bending tests by Shenoi et al. (1995), Burman and Zenkert (1997), Kenny et al. (2002, 2005), Kulkarni et al. (2003) and Zenkert et al. (2011). The objective of these studies was to analyse the fatigue response of foam cores subjected to shear loading. In the case of debond damaged sandwich structures subjected to cyclic loading, fatigue experiments have been conducted by Shipsha et al. (1999, 2000, 2003) on debond damaged sandwich beams to determine stress-life S-N diagrams, crack growth rates and indentify fatigue crack growth mechanisms. Burman et al. (1997, 2000) also conducted four-point bending tests on debond damaged sandwich beams. However, all these studies have considered loading cases with pure mode I or II dominated loading at the crack tip and not a general mixed-mode condition. Figure 1.1: Debond in the structure of a ship after removal of the face sheet, from Berggreen (2005). Figure 1.2: Three different scenarios for face/core debond propagation. 3
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- Page 14 and 15: Contents Preface Executive Summary
- Page 16 and 17: 5 Face/core Interface Fatigue Crack
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These peculiar damage modes <strong>of</strong>ten result in considering higher safety factors during a design<br />
process compared to similar metallic structures, which makes a detailed study <strong>of</strong> failure modes<br />
<strong>of</strong> s<strong>and</strong>wich structures essential if maximum structural efficiency is to be reached. Face/core<br />
debonding <strong>and</strong> its propagation are among the most critical damages a s<strong>and</strong>wich structures may<br />
experience, as structural integrity is closely linked to the adequacy <strong>of</strong> the bonding in the<br />
face/core interface in these structures. Debonds may emerge due to production defects, in-service<br />
overloading <strong>and</strong> local loads like impact, see Figure 1.1. A debond may be initiated directly in the<br />
face/core interface, in the core just below the resin-rich cells or in the face sheet (for composite<br />
face sheets). If a debond emerges in any <strong>of</strong> these locations, depending on the loading at the crack<br />
tip <strong>and</strong> toughness <strong>of</strong> other neighbouring layers, it may continue propagating in the original<br />
debond position or kink into the core, interface or face sheet, see Figure 1.2. Studies have shown<br />
that face/core debonding considerably reduces the load carrying capacity <strong>of</strong> s<strong>and</strong>wich structures<br />
(Nøkkentved et al., 2005, <strong>and</strong> Berggreen et al., 2005). A question that arises for debond<br />
damaged s<strong>and</strong>wich structures is that <strong>of</strong> damage tolerance: how is the structural performance<br />
influenced by the presence <strong>of</strong> debonding? The question <strong>of</strong> damage tolerance does not only apply<br />
to the design <strong>and</strong> optimisation <strong>of</strong> s<strong>and</strong>wich strcutures, but is also relevant to the residual strength<br />
<strong>and</strong> lifetime <strong>of</strong> already in service structures with minor or major damages. In recent years, a<br />
number <strong>of</strong> analytical <strong>and</strong> numerical studies have been conducted to predict the initiation <strong>and</strong><br />
propagation <strong>of</strong> debonds in s<strong>and</strong>wich structures exposed to static loading, e.g. Kardomateas <strong>and</strong><br />
Huang (2003), Sankar <strong>and</strong> Narayan (2001), Chen <strong>and</strong> Bai (2002) <strong>and</strong> Avilés <strong>and</strong> Carlsson<br />
(2007). Furthermore, experiments have been performed to determine the residual strength <strong>and</strong><br />
identify the failure mechanisms <strong>of</strong> debonded s<strong>and</strong>wich structures, e.g. Avery <strong>and</strong> Sankar (2000),<br />
Vadakke <strong>and</strong> Carlsson (2004) <strong>and</strong> Xie <strong>and</strong> Vizzini (2005).<br />
Linear Elastic Fracture <strong>Mechanics</strong> (LEFM) has been extensively used to model debond initiation<br />
<strong>and</strong> propagation where the energy dissipation zone (fracture process zone) is relatively small<br />
compared to specimen dimensions, (Hutchinson <strong>and</strong> Suo, 1992). Furthermore, several studies<br />
have dealt with the determination <strong>of</strong> the fracture toughness <strong>of</strong> face/core interface in s<strong>and</strong>wich<br />
structures, e.g. Cantwell <strong>and</strong> Davies (1996), Li <strong>and</strong> Carlsson (1999) <strong>and</strong> Østergaard et al. (2007).<br />
In s<strong>and</strong>wich structures with composite face sheets the fracture process zone becomes large due to<br />
kinking <strong>of</strong> the crack into the composite face sheet <strong>and</strong> consequent fibre bridging which violates<br />
LEFM assumptions, see Figure 1.2. As an alternative to LEFM, cohesive zone modelling has<br />
been used in the literature, e.g. Lundsgaard-Larsen et al. (2008, 2010) <strong>and</strong> Østergaard et al.<br />
(2008) to model face/core debonding in the presence <strong>of</strong> fibre bridging.<br />
In few studies experiments have been conducted to some extent in order to examine the accuracy<br />
<strong>of</strong> the developed analysis methods in debonded s<strong>and</strong>wich structures e.g. see Berggreen et al.<br />
(2005), Jolma et al. (2007) <strong>and</strong> Aviles et al. (2006). However, despite all the proposed numerical<br />
<strong>and</strong> analytical methods, a comprehensive study <strong>of</strong> debond damaged s<strong>and</strong>wich structures,<br />
addressing systematically issues like debond propagation, characterisation <strong>of</strong> the fracture<br />
2