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

Quoc Tran, Wojciech Tomasz Sołowski, Evan Cummings

Tutkimustuotos: Artikkeli kirjassa/konferenssijulkaisussaConference contributionScientificvertaisarvioitu

3 Sitaatiot (Scopus)

Abstrakti

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.
AlkuperäiskieliEnglanti
Otsikko5th International Conference on Particle-Based Methods - Fundamentals and Applications, PARTICLES 2017
ToimittajatP. Wriggers, M. Bischoff, E. Onate, D. R. J. Owen, T. Zohdi
KustantajaInternational Center for Numerical Methods in Engineering (CIMNE)
Sivut659-669
ISBN (elektroninen)978-84-946909-7-6
TilaJulkaistu - 26 syysk. 2017
OKM-julkaisutyyppiA4 Artikkeli konferenssijulkaisuussa
TapahtumaInternational Conference on Particle-Based Methods - Leibniz Universität Hannover , Hannover, Saksa
Kesto: 26 syysk. 201728 syysk. 2017
Konferenssinumero: 5
http://congress.cimne.com/particles2017/frontal/default.asp
http://congress.cimne.com/particles2017/frontal/ProgIntro.asp

Conference

ConferenceInternational Conference on Particle-Based Methods
LyhennettäPARTICLES
Maa/AlueSaksa
KaupunkiHannover
Ajanjakso26/09/201728/09/2017
www-osoite

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