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A high-order material point method

Ghaffari Motlagh, Y.; Coombs, W.M.

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Authors

Y. Ghaffari Motlagh



Abstract

The material point method (MPM) is a version of the particle-in-cell (PIC) which has substantial advantages over pure Lagrangian or Eulerian methods in numerical simulations of problems involving large deformations. Using MPM helps to avoid mesh distortion and tangling problems related to Lagrangian methods and the advection errors associated with Eulerian methods are avoided. In this paper a novel high-order material point method within an isogeomeric analysis (IGA) framework is developed. Utilizing high order basis functions enables more accurate determination of physical state variables e.g. stress. The smooth spline function spaces, B-splines, are used to eliminate the non-physical effects are caused by use of standard high-order finite element basis function i.e. based on Lagrange polynomials.

Citation

Ghaffari Motlagh, Y., & Coombs, W. (2016). A high-order material point method. In Proceedings of the 24th UK Conference of the Association for Computational Mechanics in Engineering, 31 March - 01 April 2016, Cardiff University, Cardiff (352-355)

Conference Name ACME - UK 2016 24th Conference of the Association for Computational Mechanics in Engineering.
Conference Location Cardiff, UK
Start Date Mar 31, 2023
End Date Apr 1, 2016
Acceptance Date Mar 1, 2016
Publication Date Apr 1, 2016
Deposit Date Apr 12, 2016
Publicly Available Date Mar 29, 2024
Publisher Cardiff University
Pages 352-355
Book Title Proceedings of the 24th UK Conference of the Association for Computational Mechanics in Engineering, 31 March - 01 April 2016, Cardiff University, Cardiff.
Publisher URL http://acme2016.sciencesconf.org/87447
Additional Information Conference date: 31 March - 1 April 2016

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