Large deformation modelling in geomechanics
Material Point Method
Krishna Kumar, kks32@cam.ac.uk
University of Cambridge / UT Austin (Jan 2019)
Prof Ellen Rathje,
University of Texas at Austin
25th October 2018
CB-Geo: Computational Geomechanics
- Material Point Method
- Lattice-Boltzmann + Discrete Element Method
- Finite Element Method - Thermo-Hydro Mechanical Coupling
- Lattice Element Method
Mesh-based vs Mesh-free techniques
Material Point Method
Material Point Method
MPM dam break
Granular column collapse
MPM column collapse
MPM v DEM column collapse
DEM column collapse
MPM slope failure
Horizontal velocity (m/s)
MPM v DEM runout slope v collapse
MPM Oso landslide
MPM 2-phase formulation
MPM slope failure: pore pressure changes
Selborne case study of a 9 m high cut-slope slope (Soga et al., 2016)
MPM river levee failure: Bandara (2012)
Two-phase solution of a river levee failure (Bandara., 2012)
Possible boundary conditions of submarine run‐out
- Presence of ambient water (larger drag force & less gravity).
- Water entrainment.
- Pore pressure does not dissipate.
Submarine landslides
MPM submarine landslide
Depth-averaged Material Point Method (Taka et al., 2012)
Mechanism of submarine landslides
Modelling Test at 1g Condition
- Material type influences the mode of the flow.
- Target: Clay‐rich flow (Less diffusive, Hydroplaning).
Mechanism of submarine runout
MPM submarine landslide: Water entrainment
Run-out for different water entrainment (Taka et al., 2012)
HPC MPM code
- Generic Templatised C++14
- 2D/3D MPM Code
- Generalise Interpolation Material Point
- Distributed MPI
- Intel TBB parallelisation
- Isoparametric elements
- HDF5 data stores
- Jupyter Notebooks integration
- Material models:
- Linear elastic
- Mohr coulomb
- Bingham fluid
- Newtonian
Photo-realistic rendering
- HDF5 + VTK
- Disney Partio: Houdini / Maya / Pixar's RenderMan
