An analytical failure model for pressurized blister tests of thermally loaded composite laminates

Hübsch, Jan David; Rosendahl, Philipp Laurens; Mittelstedt, Christian

doi:10.1016/j.compositesb.2020.108588

Cited by 5 publications

(3 citation statements)

References 51 publications

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“…where a denotes the crack-tip coordinate. Energy release rates obtained using weak-interface kinematics cannot capture very short cracks but, again, provide accurate results for cracks of a certain minimum length (Hübsch et al, 2021).…”

Section: Computation Of Displacements Stresses and Energy Release Ratesmentioning

confidence: 98%

A closed-form model for layered snow slabs

Weißgraeber

Rosendahl²

2022

Preprint

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Abstract. We propose a closed-form analytical model for the mechanical behavior of stratified snow covers for the purpose of investigating and predicting the physical processes that lead to the formation of dry-snow slab avalanches. We represent the system of a stratified snow slab covering a collapsible weak layer by a beam composed of an arbitrary number of layers supported by an anisotropic elastic foundation in a two-dimensional plane-strain model. The model makes use of laminate mechanics and provides slab deformations, stresses in the weak layer, and energy release rates of weak-layer anticracks in real time. The closed-form solution accounts for the layering-induced coupling of bending and extension in the slab and of shear and normal stresses in the weak layer. It is validated against experimentally recorded displacement fields and a comprehensive finite element model indicating very good agreement. We show that layered slabs cannot be homogenized into equivalent isotropic bodies and reveal the impact of layering on bridging with respect to weak-layer stresses and energy release rates. It is demonstrated that inclined propagation saw tests allow for the determination of mixed-mode weak-layer fracture toughnesses. Our results suggest that such tests are dominated by mode I when cut upslope and comprise significant mode II contributions when cut downslope. A Python implementation of the presented model is publicly available as part of the "Weak Layer Anticrack Nucleation Model (WEAC)" software package under https://github.com/2phi/weac and https://pypi.org/project/weac.

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Section: Computation Of Displacements Stresses and Energy Release Ratesmentioning

confidence: 98%

A closed-form model for layered snow slabs

Weißgraeber

Rosendahl²

2022

Preprint

Self Cite

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“…where a denotes the crack-tip coordinate. The limitations of the weak-interface kinematics yield energy release rates that cannot capture very short cracks but, again, provide accurate results for cracks of a minimum length (Hübsch et al, 2021).…”

Section: Computation Of Displacements Stresses and Energy Release Ratesmentioning

confidence: 99%

“…When snow cover models are linked to stability analyses (see Morin et al, 2020, for a comprehensive review), typically stability indices are used (McClung and Schweizer, 1999;Lehning et al, 2004). These indices typically employ strength-based methods such as the limit equilibrium method (Föhn, 1987;Huang, 2014). Often, stress fields are obtained by using solutions derived from the Boussinesq solution of an infinite half-plane under a point load (Föhn, 1987;Gaume and Reuter, 2017).…”

Section: Introductionmentioning

confidence: 99%

A closed-form model for layered snow slabs

Weißgraeber¹,

Rosendahl²

2023

The Cryosphere

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Abstract. We propose a closed-form analytical model for the mechanical behavior of stratified snow covers for the purpose of investigating and predicting the physical processes that lead to the formation of dry-snow slab avalanches. We represent the system of a stratified snow slab covering a collapsible weak layer by a beam composed of an arbitrary number of layers supported by an anisotropic elastic foundation in a two-dimensional plane-strain model. The model makes use of laminate mechanics and provides slab deformations, stresses in the weak layer, and energy release rates of weak-layer anticracks in real time. The quantities can be used in failure models of avalanche release. The closed-form solution accounts for the layering-induced coupling of bending and extension in the slab and of shear and normal stresses in the weak layer. It is validated against experimentally recorded displacement fields and a comprehensive finite-element model indicating very good agreement. We show that layered slabs cannot be homogenized into equivalent isotropic bodies and reveal the impact of layering on bridging with respect to weak-layer stresses and energy release rates. It is demonstrated that inclined propagation saw tests allow for the determination of mixed-mode weak-layer fracture toughnesses. Our results suggest that such tests are dominated by mode I when cut upslope and comprise significant mode II contributions when cut downslope. A Python implementation of the presented model is publicly available as part of the Weak Layer Anticrack Nucleation Model (WEAC) software package under https://github.com/2phi/weac (last access: 28 March 2023) and https://pypi.org/project/weac (last access: 28 March 2023, Rosendahl and Weißgraeber, 2022).

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