Thursday, 28 January 2021Speaker: Prof. Johan GaumeSnow and Avalanche Simulation Laboratory, École polytechnique fédérale de Lausanne (EPFL), Switzerland From sub-Rayleigh to supershear fracture in snow slab avalanche release |
Abstract
Snow slab avalanche release can be separated in four distinct phases : (i) failure initiation in a weak snow layer buried below a cohesive snow slab, (ii) the onset and, (iii) dynamic phase of crack propagation within the weak layer across the slope and (iv) the slab release. The highly porous character of the weak layer implies volumetric collapse during failure which leads to the closure of crack faces followed by the onset of frictional contact. To better understand the mechanisms of dynamic crack propagation, we performed numerical simulations, snow fracture experiments, and analyzed the release of full scale avalanches. Simulations of crack propagation are performed using the Material Point Method (MPM), finite strain elastoplasticity and constitutive models based on critical state soil mechanics. Experiments consist of the so-called Propagation Saw Test (PST). Concerning full scale measurements, an algorithm is applied to detect changes in image pixel intensity induced by slab displacements. We report the existence of a transition from sub-Rayleigh anticrack to supershear crack propagation following the Burridge-Andrews mechanism. In detail, after reaching the critical crack length, self-propagation starts in a sub-Rayleigh regime and is driven by slab bending induced by weak layer collapse. If the slope angle is larger than a critical value, and if a so-called super critical crack length is reached, supershear fracture occurs. The corresponding critical angle may be lower than the weak layer friction angle due to the loss of frictional resistance during volumetric collapse. The sub-Rayleigh regime is driven by mixed mode anticrack propagation while the supershear regime corresponds to a pure mode II propagation with intersonic fracture velocities. This intersonic regime thus leads to pure tensile slab fractures initiating from the bottom of the slab as opposed to surface initiations induced by slab bending in the sub-Rayleigh regime. Key ingredients for the existence of this transition are discussed such as the role played by friction angle, collapse height and slab secondary fractures.
Biography
Johan Gaume received his PhD from the Grenoble University in 2013. He was then a postdoc at ETH Zürich and at the WSL Institute for Snow and Avalanche Research SLF in Davos, Switzerland. In 2016, he joined EPFL as are search and teaching assistant. He was a visiting scholar in the Department of Mathematics of UCLA (2017) and in the Computer and Information Science Department of UPenn (2018). In 2019, he became Assistant Professor at EPFL and head of SLAB, the Snow and Avalanche Simulation Laboratory. His research focuses on the initiation and propagation of gravitational mass movements with a particular focus on snow and avalanche mechanics which includes the development of multiscale numerical methods. He developed, in collaboration with Prof. Joseph Teran at UCLA and Prof. Chenfanfu Jiang at UPenn, new constitutive snow models to simulate avalanche release and flow at the slope scale in a unified manner using the Material Point Method. He received the Excellence Scholarship from the Swiss Government and was awarded the Ambizione grant and Eccellenza Professorial fellowship from the Swiss National Science Foundation.
Notes
by Marco Moscatelli and Antoni Joubert.- The presence of a weak snowpack layer (WL) hidden below a cohesive snow slab layer can start dry-snow slab avalanches.
- An external loading (e.g. generated by a skier) can cause local damage in the WL. If the size of the failed zone exceeds a critical value, rapid crack propagation occurs possibly followed by slab release, if the slope is steep enough.
- Discrete element simulations can be used to characterize the conditions for the onset of crack propagation. Due to their discrete nature, they are not feasible for an upscaling to the scale of typical avalanches.
- A continuum elastoplastic constitutive model for porous cohesive materials is presented. It describes the behavior of the WL, accounting for cohesion softening and volume reduction. Both being typical features of the mixed-mode anticrack nature of the avalanche initiation mechanism.
- Observations at slope scale have shown a potential mismatch with respect to small scale measurements, with the crack propagation speed being higher for the former case. This is connected with a transition of the failure mode, that can take place only after a certain critical length. This phenomenon is well captured by the implementation of the new constitutive model in a material point method.
Suggested readings
- J. Gaume, A. van Herwijnen, G. Chambon, N. Wever, J. Schweizer.
Snow fracture in relation to slab avalanche release: critical state for the onset of crack propagation
The Cryosphere 11, (2017) 217-228 - J. Gaume, A. van Herwijnen, G. Chambon, J. Schweizer, K. Birkeland.
Modeling of crack propagation in weak snowpack layers using the discrete element method
The Cryosphere Discussions 9, (2015) 609-653 - A. Van Herwijnen, J. Gaume, E. H. Bair, B. Reuter, K. W. Birkeland, J. Schweizer.
Estimating the effective elastic modulus and specific fracture energy of snowpack layers from field experiments
Journal of Glaciology 62 (236), (2016) 997-1007