Card image

Software Products

Burger's Model in PFC

PFC

Introduction

The Burger's model provides a Kelvin model acting in series with a Maxwell model, in both the normal and shear direction. The Kelvin model is the combination of a linear spring and dashpot components that act in parallel with one another. The Maxwell model is the combination of a linear spring and dashpot components that act in series. The Burger's model act over a vanishingly small area, and thus transmit only a force.

Behavior Summary

The rheological components of the Burger's model are shown in the figure below, for both the normal and shear directions. In both directions, the model combines a Kelvin and a Maxwell model acting in series. In the normal direction, the Kelvin model provides a linear spring with stiffness Kkn and a dashpot with viscosity Ckn, and the Maxwell model provides a linear spring with stiffness Kmn and a dashpot with viscosity Cmn. The Burger's model can sustain tensile forces (Mt =0) or not (Mt =1). In the shear direction, , the Kelvin model provides a linear spring with stiffness Kks and a dashpot with viscosity Cks, and the Maxwell model provides a linear spring with stiffness Kmsand a dashpot with viscosity Cms. A slider with friction coefficient fs limits the value of the shear force according to a Coulomb law.

Rheological components of the Burger's model.

The following figure shows the time-decay of the normal force calculated by PFC2D, compared to the analytical solution for two balls fixed with a non-zero overlap. In both PFC2D and PFC3D models, the numerical solution shows that the contact force exponentially decreases as time increases, which coincides with the analytical solution shown by the blue dashed line in the figures.

Time history of normal contact force of Burger's model. The simulation results are shown in red marks, the analytical solution with the blue dashed line (2D model).
SOFTWARE STORE
Software Support
PFC Updates
Latest News
  • Thank You to our Summer Interns ITASCA Minneapolis is lucky to have welcomed nine amazing and dedicated summer interns in our...
    Read More
  • Introducing IMAT: Transforming Mining Analysis Solutions Introducing IMAT: Revolutionizing mining analysis with advanced geotechnical modeling and seismic data integration....
    Read More
  • ITASCA Unveils XSite 4.0: Advancing Hydraulic Fracturing Simulation ITASCA announces the launch of XSite 4.0, a groundbreaking advancement in hydraulic fracturing simulation software....
    Read More
Upcoming Events
26 Aug
FLAC3D V9.1 and Griddle V2.0 2024
... Read More
17 Sep
MassMin
Held once every four years, MassMin unites global experts to tackle the industry's most pressing sustainability challenges. MassMin pro... Read More
22 Sep
SMRI Fall 2024
The Solution Mining Research Institute (SMRI) was established in 1965 as a venue for the solution mining and underground storage indust... Read More