5,124 research outputs found
Modeling of the interaction of rigid wheels with dry granular media
We analyze the capabilities of various recently developed techniques, namely
Resistive Force Theory (RFT) and continuum plasticity implemented with the
Material Point Method (MPM), in capturing dynamics of wheel--dry granular media
interactions. We compare results to more conventionally accepted methods of
modeling wheel locomotion. While RFT is an empirical force model for
arbitrarily-shaped bodies moving through granular media, MPM-based continuum
modeling allows the simulation of full granular flow and stress fields. RFT
allows for rapid evaluation of interaction forces on arbitrary shaped intruders
based on a local surface stress formulation depending on depth, orientation,
and movement of surface elements. We perform forced-slip experiments for three
different wheel types and three different granular materials, and results are
compared with RFT, continuum modeling, and a traditional terramechanics
semi-empirical method. Results show that for the range of inputs considered,
RFT can be reliably used to predict rigid wheel granular media interactions
with accuracy exceeding that of traditional terramechanics methodology in
several circumstances. Results also indicate that plasticity-based continuum
modeling provides an accurate tool for wheel-soil interaction while providing
more information to study the physical processes giving rise to resistive
stresses in granular media
Pore-scale modeling of fluid-particles interaction and emerging poromechanical effects
A micro-hydromechanical model for granular materials is presented. It
combines the discrete element method (DEM) for the modeling of the solid phase
and a pore-scale finite volume (PFV) formulation for the flow of an
incompressible pore fluid. The coupling equations are derived and contrasted
against the equations of conventional poroelasticity. An analogy is found
between the DEM-PFV coupling and Biot's theory in the limit case of
incompressible phases. The simulation of an oedometer test validates the
coupling scheme and demonstrates the ability of the model to capture strong
poromechanical effects. A detailed analysis of microscale strain and stress
confirms the analogy with poroelasticity. An immersed deposition problem is
finally simulated and shows the potential of the method to handle phase
transitions.Comment: accepted in Int. Journal for Numerical and Analytical Methods in
Geomechanic
Surprising simplicity in the modeling of dynamic granular intrusion
Granular intrusions, such as dynamic impact or wheel locomotion, are complex
multiphase phenomena where the grains exhibit solid-like and fluid-like
characteristics together with an ejected gas-like phase. Despite decades of
modeling efforts, a unified description of the physics in such intrusions is as
yet unknown. Here we show that a continuum model based on the simple notions of
frictional flow and tension-free separation describes complex granular
intrusions near free surfaces. This model captures dynamics in a variety of
experiments including wheel locomotion, plate intrusions, and running legged
robots. The model reveals that three effects (a static contribution and two
dynamic ones) primarily give rise to intrusion forces in such scenarios.
Identification of these effects enables the development of a further
reduced-order technique (Dynamic Resistive Force Theory) for rapid modeling of
granular locomotion of arbitrarily shaped intruders. The continuum-motivated
strategy we propose for identifying physical mechanisms and corresponding
reduced-order relations has potential use for a variety of other materials.Comment: 41 pages including supplementary document, 10 figures, and 8 vide
A semi-implicit discrete-continuum coupling method for porous media based on the effective stress principle at finite strain
Abstract:
A finite strain multiscale hydro-mechanical model is established via an extended Hill–Mandel condition for two-phase porous media. By assuming that the effective stress principle holds at unit cell scale, we established a micro-to-macro transition that links the micromechanical responses at grain scale to the macroscopic effective stress responses, while modeling the fluid phase only at the macroscopic continuum level. We propose a dual-scale semi-implicit scheme, which treats macroscopic responses implicitly and microscopic responses explicitly. The dual-scale model is shown to have good convergence rate, and is stable and robust. By inferring effective stress measure and poro-plasticity parameters, such as porosity, Biot’s coefficient and Biot’s modulus from micro-scale simulations, the multiscale model is able to predict effective poro-elasto-plastic responses without introducing additional phenomenological laws. The performance of the proposed framework is demonstrated via a collection of representative numerical examples. Fabric tensors of the representative elementary volumes are computed and analyzed via the anisotropic critical state theory when strain localization occurs.
Keywords:
Multiscale poromechanics; Semi-implicit scheme; Homogenization; Discrete-continuum coupling; DEM–FEM; Anisotropic critical stat
- …