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Title: Modeling strong discontinuities in the material point method using a single velocity field

Abstract

We propose a new way to include strong velocity discontinuities in the material point method (MPM). We use the recent idea of damage gradient partitioning to dynamically determine whether or not deformed locations of material points are on the same side of a discontinuity as each node of a finite element discretization of the Eulerian velocity field. Velocity basis functions associated with the finite element nodes are then altered to ensure that their contributions to discontinuous components of the velocity are supported only at points assigned to the same side of the discontinuity. The partitioning of material points relative to each finite element node eliminates the need for indexing partitions, and accommodates discontinuities that do not partition material into disjoint bodies (e.g., propagating cracks). By building velocity discontinuities directly into the approximation space, sliding contact, separation, and multi-body interaction are possible within a single velocity field. The methodology avoids the need to track contact surfaces, construct and evolve explicit cracks, or use multiple velocity fields. Several numerical examples are computed to support these claims. The examples are also compared to the conventional MPM, demonstrating the method’s superiority in dealing with sliding contact and separation.

Authors:
 [1];  [2]; ORCiD logo [3];  [2];  [3]
  1. Univ. of California, San Diego, CA (United States)
  2. Brown Univ., Providence, RI (United States)
  3. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1484659
Report Number(s):
LA-UR-18-26531
Journal ID: ISSN 0045-7825
Grant/Contract Number:  
89233218CNA000001
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Computer Methods in Applied Mechanics and Engineering
Additional Journal Information:
Journal Volume: 345; Journal Issue: C; Journal ID: ISSN 0045-7825
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING

Citation Formats

Moutsanidis, Georgios, Kamensky, David, Zhang, Duan Z., Bazilevs, Yuri, and Long, Christopher C.. Modeling strong discontinuities in the material point method using a single velocity field. United States: N. p., 2018. Web. doi:10.1016/j.cma.2018.11.005.
Moutsanidis, Georgios, Kamensky, David, Zhang, Duan Z., Bazilevs, Yuri, & Long, Christopher C.. Modeling strong discontinuities in the material point method using a single velocity field. United States. doi:10.1016/j.cma.2018.11.005.
Moutsanidis, Georgios, Kamensky, David, Zhang, Duan Z., Bazilevs, Yuri, and Long, Christopher C.. Mon . "Modeling strong discontinuities in the material point method using a single velocity field". United States. doi:10.1016/j.cma.2018.11.005.
@article{osti_1484659,
title = {Modeling strong discontinuities in the material point method using a single velocity field},
author = {Moutsanidis, Georgios and Kamensky, David and Zhang, Duan Z. and Bazilevs, Yuri and Long, Christopher C.},
abstractNote = {We propose a new way to include strong velocity discontinuities in the material point method (MPM). We use the recent idea of damage gradient partitioning to dynamically determine whether or not deformed locations of material points are on the same side of a discontinuity as each node of a finite element discretization of the Eulerian velocity field. Velocity basis functions associated with the finite element nodes are then altered to ensure that their contributions to discontinuous components of the velocity are supported only at points assigned to the same side of the discontinuity. The partitioning of material points relative to each finite element node eliminates the need for indexing partitions, and accommodates discontinuities that do not partition material into disjoint bodies (e.g., propagating cracks). By building velocity discontinuities directly into the approximation space, sliding contact, separation, and multi-body interaction are possible within a single velocity field. The methodology avoids the need to track contact surfaces, construct and evolve explicit cracks, or use multiple velocity fields. Several numerical examples are computed to support these claims. The examples are also compared to the conventional MPM, demonstrating the method’s superiority in dealing with sliding contact and separation.},
doi = {10.1016/j.cma.2018.11.005},
journal = {Computer Methods in Applied Mechanics and Engineering},
issn = {0045-7825},
number = C,
volume = 345,
place = {United States},
year = {2018},
month = {11}
}

Journal Article:
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