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A high-order material point method.

Ghaffari Motlagh, Y. and Coombs, W.M. (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. Cardiff: Cardiff University, pp. 352-355.


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.

Item Type:Book chapter
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Date accepted:01 March 2016
Date deposited:14 April 2016
Date of first online publication:April 2016
Date first made open access:No date available

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