Modelling of Strip Footing Problems Using Consistent Particle Method
Publication: Geo-Congress 2024
ABSTRACT
The consistent particle method (CPM) is a Lagrangian particle method initially proposed for solving fluid dynamics problems and has recently been expanded to the area of solid mechanics. The governing equations for mass conservation and dynamics of particles are solved with a predictor-corrector approach. The spatial derivatives of variables (e.g., velocities and stresses) are computed by Taylor series expansion. The physical material density is directly calculated without using the number density of particle. In addition, no extra particles are required to model boundary conditions. For partially loaded boundary surface, the stress singularity problem because of sudden stress change is overcome by the inverse distance weighting method. Numerical examples of bearing capacity of strip footing as well as large deformation penetration of strip footing are presented to show CPM’s abilities to handle geomechanics problems.
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Published In
Geo-Congress 2024
Pages: 245 - 253
History
Published online: Feb 22, 2024
ASCE Technical Topics:
- Computing in civil engineering
- Continuum mechanics
- Critical path method
- Engineering fundamentals
- Engineering materials (by type)
- Engineering mechanics
- Fluid dynamics
- Fluid mechanics
- Footings
- Foundations
- Geometry
- Geotechnical engineering
- Hydrologic engineering
- Lagrangian functions
- Materials engineering
- Mathematical functions
- Mathematics
- Methodology (by type)
- Particles
- Shallow foundations
- Solid mechanics
- Spatial variability
- Water and water resources
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