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

Moutsanidis, Georgios; Kamensky, David; Zhang, Duan Z.; Bazilevs, Yuri; Long, Christopher C.

doi:10.1016/j.cma.2018.11.005

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

Journal Article · Sun Nov 18 23:00:00 EST 2018 · Computer Methods in Applied Mechanics and Engineering

DOI:https://doi.org/10.1016/j.cma.2018.11.005· OSTI ID:1484659

Moutsanidis, Georgios ^[1]; Kamensky, David ^[2]; ^[3]; Bazilevs, Yuri ^[2]; Long, Christopher C. ^[3]

Univ. of California, San Diego, CA (United States)
Brown Univ., Providence, RI (United States)
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

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.

View Accepted Manuscript (DOE)

Research Organization:: Los Alamos National Laboratory (LANL)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: 89233218CNA000001

OSTI ID:: 1484659

Alternate ID(s):: OSTI ID: 1636173

Report Number(s):: LA-UR-18-26531

Journal Information:: Computer Methods in Applied Mechanics and Engineering, Journal Name: Computer Methods in Applied Mechanics and Engineering Journal Issue: C Vol. 345; ISSN 0045-7825

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

References (21)

Fluid-membrane interaction based on the material point method York, Allen R.; Sulsky, Deborah; Schreyer, Howard L. International Journal for Numerical Methods in Engineering, Vol. 48, Issue 6 https://doi.org/10.1002/(SICI)1097-0207(20000630)48:6<901::AID-NME910>3.0.CO;2-T	journal	June 2000
A stabilized conforming nodal integration for Galerkin mesh-free methods Chen, Jiun-Shyan; Wu, Cheng-Tang; Yoon, Sangpil International Journal for Numerical Methods in Engineering, Vol. 50, Issue 2 https://doi.org/10.1002/1097-0207(20010120)50:2<435::AID-NME32>3.0.CO;2-A	journal	January 2000
A convected particle domain interpolation technique to extend applicability of the material point method for problems involving massive deformations Sadeghirad, A.; Brannon, R. M.; Burghardt, J. International Journal for Numerical Methods in Engineering, Vol. 86, Issue 12 https://doi.org/10.1002/nme.3110	journal	March 2011
Field-gradient partitioning for fracture and frictional contact in the material point method: Field-gradient partitioning for fracture and frictional contact in the material point method Homel, Michael A.; Herbold, Eric B. International Journal for Numerical Methods in Engineering, Vol. 109, Issue 7 https://doi.org/10.1002/nme.5317	journal	August 2016
Enhancement of the material point method using B-spline basis functions Gan, Yong; Sun, Zheng; Chen, Zhen International Journal for Numerical Methods in Engineering, Vol. 113, Issue 3 https://doi.org/10.1002/nme.5620	journal	July 2017
Modelling of landslides with the material-point method Andersen, S.; Andersen, L. Computational Geosciences, Vol. 14, Issue 1 https://doi.org/10.1007/s10596-009-9137-y	journal	April 2009
Simulation of dynamic fracture with the Material Point Method using a mixed J-integral and cohesive law approach Bardenhagen, Scott G.; Nairn, John A.; Lu, Hongbing International Journal of Fracture, Vol. 170, Issue 1 https://doi.org/10.1007/s10704-011-9602-1	journal	June 2011
Smoothed Particle Hydrodynamics (SPH): an Overview and Recent Developments Liu, M. B.; Liu, G. R. Archives of Computational Methods in Engineering, Vol. 17, Issue 1 https://doi.org/10.1007/s11831-010-9040-7	journal	February 2010
Application of a particle-in-cell method to solid mechanics Sulsky, Deborah; Zhou, Shi-Jian; Schreyer, Howard L. Computer Physics Communications, Vol. 87, Issue 1-2 https://doi.org/10.1016/0010-4655(94)00170-7	journal	May 1995
A particle method for history-dependent materials Sulsky, D.; Chen, Z.; Schreyer, H. L. Computer Methods in Applied Mechanics and Engineering, Vol. 118, Issue 1-2 https://doi.org/10.1016/0045-7825(94)90112-0	journal	September 1994
The material-point method for granular materials Bardenhagen, S. G.; Brackbill, J. U.; Sulsky, D. Computer Methods in Applied Mechanics and Engineering, Vol. 187, Issue 3-4 https://doi.org/10.1016/S0045-7825(99)00338-2	journal	July 2000
A multi-mesh MPM for simulating the meshing process of spur gears Hu, W.; Chen, Z. Computers & Structures, Vol. 81, Issue 20 https://doi.org/10.1016/S0045-7949(03)00260-8	journal	August 2003
Nonlinear complementarity functions for plasticity problems with frictional contact Hager, Corinna; Wohlmuth, B. I. Computer Methods in Applied Mechanics and Engineering, Vol. 198, Issue 41-44 https://doi.org/10.1016/j.cma.2009.06.021	journal	September 2009
A contact formulation based on a volumetric potential: Application to isogeometric simulations of atrioventricular valves Kamensky, David; Xu, Fei; Lee, Chung-Hao Computer Methods in Applied Mechanics and Engineering, Vol. 330 https://doi.org/10.1016/j.cma.2017.11.007	journal	March 2018
Material point method applied to multiphase flows Zhang, Duan Z.; Zou, Qisu; VanderHeyden, W. Brian Journal of Computational Physics, Vol. 227, Issue 6, p. 3159-3173 https://doi.org/10.1016/j.jcp.2007.11.021	journal	March 2008
Material point method enhanced by modified gradient of shape function Zhang, Duan Z.; Ma, Xia; Giguere, Paul T. Journal of Computational Physics, Vol. 230, Issue 16 https://doi.org/10.1016/j.jcp.2011.04.032	journal	July 2011
Meshfree Methods: Progress Made after 20 Years Chen, Jiun-Shyan; Hillman, Michael; Chi, Sheng-Wei Journal of Engineering Mechanics, Vol. 143, Issue 4 https://doi.org/10.1061/(ASCE)EM.1943-7889.0001176	journal	April 2017
Smoothed particle hydrodynamics: theory and application to non-spherical stars Gingold, R. A.; Monaghan, J. J. Monthly Notices of the Royal Astronomical Society, Vol. 181, Issue 3 https://doi.org/10.1093/mnras/181.3.375	journal	December 1977
The cosmological simulation code gadget-2 Springel, Volker Monthly Notices of the Royal Astronomical Society, Vol. 364, Issue 4 https://doi.org/10.1111/j.1365-2966.2005.09655.x	journal	December 2005
A material point method for snow simulation Stomakhin, Alexey; Schroeder, Craig; Chai, Lawrence ACM Transactions on Graphics, Vol. 32, Issue 4 https://doi.org/10.1145/2461912.2461948	journal	July 2013
Smoothed Particle Hydrodynamics Monaghan, J. J. Annual Review of Astronomy and Astrophysics, Vol. 30, Issue 1 https://doi.org/10.1146/annurev.aa.30.090192.002551	journal	September 1992

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