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Criteria for static equilibrium in particulate mechanics computations
 

Summary: Criteria for static equilibrium in particulate mechanics
computations
Xuxin Tu
, Jos´e E. Andrade
Department of Civil and Environmental Engineering, Northwestern University,
Evanston, IL 60208, USA
Abstract
The underlying physics of granular matter can be clearly solved using particulate mechanics
methods, e.g., the discrete element method (DEM) that is inherently discontinuous and het-
erogeneous. To solve static problems, explicit schemes using dynamic relaxation procedures
have been widely employed, in which naturally dynamic material parameters are typically
adapted into pure numerical artifacts with the sole purpose of attaining meaningful results.
In discrete computations using these explicit schemes, algorithmic calibration is demanded
under general conditions in order to achieve quasi-static states. Until now, procedures for al-
gorithmic calibration have remained rather heuristic. This paper presents two criteria, using
the concept of homogenized stresses, for evaluating equilibrium in quasi-static applications of
particulate mechanics methods. It is shown, by way of numerical examples, that the criteria
for static equilibrium can be applied successfully to obtain quasi-static solutions in explicit
DEM codes through algorithmic calibrations. A general procedure is proposed herein for
carrying out the algorithmic calibration effectively and efficiently.

  

Source: Andrade, Jose - Department of Civil and Environmental Engineering, Northwestern University

 

Collections: Engineering