A Monte Carlo packing algorithm for poly-ellipsoids and its comparison with packing generation using Discrete Element Model

02/10/2023
by   Boning Zhang, et al.
0

Granular material is showing very often in geotechnical engineering, petroleum engineering, material science and physics. The packings of the granular material play a very important role in their mechanical behaviors, such as stress-strain response, stability, permeability and so on. Although packing is such an important research topic that its generation has been attracted lots of attentions for a long time in theoretical, experimental, and numerical aspects, packing of granular material is still a difficult and active research topic, especially the generation of random packing of non-spherical particles. To this end, we will generate packings of same particles with same shapes, numbers, and same size distribution using geometry method and dynamic method, separately. Specifically, we will extend one of Monte Carlo models for spheres to ellipsoids and poly-ellipsoids.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
06/18/2020

A 3/2–approximation for big two-bar charts packing

We consider a Two-Bar Charts Packing Problem (2-BCPP), in which it is ne...
research
09/10/2023

Variance Reduction of Resampling for Sequential Monte Carlo

A resampling scheme provides a way to switch low-weight particles for se...
research
04/25/2021

Basic Analysis of Bin-Packing Heuristics

The bin-packing problem continues to remain relevant in numerous applica...
research
08/31/2018

Multilevel Monte Carlo for uncertainty quantification in structural engineering

Practical structural engineering problems often exhibit a significant de...
research
06/08/2020

POLY-HOOT: Monte-Carlo Planning in Continuous Space MDPs with Non-Asymptotic Analysis

Monte-Carlo planning, as exemplified by Monte-Carlo Tree Search (MCTS), ...
research
12/21/2019

Simulating sticky particles: A Monte Carlo method to sample a Stratification

Many problems in materials science and biology involve particles interac...

Please sign up or login with your details

Forgot password? Click here to reset