HYDRO-MECHANICAL COUPLED DUAL DOMAIN MATERIAL POINT METHOD STABILIZED WITH A NULL-SPACE FILTER

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Abstract

The Material Point Method (MPM) is a continuum-based numerical method especially suitable for solving large deformation problems. In this paper, we investigate the null-space errors present in MPM solutions. The paper establishes a null-space stability condition which is used to examine the null-space errors in different versions of the MPM. This analysis shows that a B-splines MPM satisfies the null-space stability condition and therefore reduces greatly the errors associated with the null-space. In contrast, the MPM, the Generalized Interpolation Material Point Method (GIMP) and the Dual Domain Material Point Method (DDMP) show non-trivial null-spaces in the mapping. To remove the null-space errors, this paper utilizes QR factorization method, which is similar to the Single Value Decomposition (SVD) method, but requires fewer computations. This paper simulates several problems with hydro-mechanical coupled Dual Domain Material Point Method (DDMP) formulation both with and without null-space error reduction. The simulations indicate that the null-space filter can improve significantly the accuracy of the pore water pressure for both gravity loading and consolidation in large strain simulation.

Details

Original languageEnglish
Title of host publication5th International Conference on Particle-Based Methods - Fundamentals and Applications, PARTICLES 2017
EditorsP. Wriggers, M. Bischoff, E. Onate, D. R. J. Owen, T. Zohdi
Publication statusPublished - 26 Sep 2017
MoE publication typeA4 Article in a conference publication
EventInternational Conference on Particle-Based Methods - Leibniz Universität Hannover , Hannover, Germany
Duration: 26 Sep 201728 Sep 2017
Conference number: 5
http://congress.cimne.com/particles2017/frontal/default.asp
http://congress.cimne.com/particles2017/frontal/ProgIntro.asp

Conference

ConferenceInternational Conference on Particle-Based Methods
Abbreviated titlePARTICLES
CountryGermany
CityHannover
Period26/09/201728/09/2017
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    Research areas

  • Material Point Method, null space filter, large strain modelling, hydro-mechanical coupling, Dual Domain Material Point Method

ID: 16412123