Projekteja vuodessa
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.
Alkuperäiskieli | Englanti |
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Otsikko | 5th International Conference on Particle-Based Methods - Fundamentals and Applications, PARTICLES 2017 |
Toimittajat | P. Wriggers, M. Bischoff, E. Onate, D. R. J. Owen, T. Zohdi |
Kustantaja | International Center for Numerical Methods in Engineering (CIMNE) |
Sivut | 659-669 |
ISBN (elektroninen) | 978-84-946909-7-6 |
Tila | Julkaistu - 26 syysk. 2017 |
OKM-julkaisutyyppi | A4 Artikkeli konferenssijulkaisussa |
Tapahtuma | International Conference on Particle-Based Methods - Leibniz Universität Hannover , Hannover, Saksa Kesto: 26 syysk. 2017 → 28 syysk. 2017 Konferenssinumero: 5 http://congress.cimne.com/particles2017/frontal/default.asp http://congress.cimne.com/particles2017/frontal/ProgIntro.asp |
Conference
Conference | International Conference on Particle-Based Methods |
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Lyhennettä | PARTICLES |
Maa/Alue | Saksa |
Kaupunki | Hannover |
Ajanjakso | 26/09/2017 → 28/09/2017 |
www-osoite |
Sormenjälki
Sukella tutkimusaiheisiin 'HYDRO-MECHANICAL COUPLED DUAL DOMAIN MATERIAL POINT METHOD STABILIZED WITH A NULL-SPACE FILTER'. Ne muodostavat yhdessä ainutlaatuisen sormenjäljen.Projektit
- 1 Päättynyt
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Luiskan progressiivisen sortuman mallintaminen GIMP-menetelmällä
Sołowski, W. (Vastuullinen tutkija)
01/09/2015 → 31/08/2019
Projekti: Academy of Finland: Other research funding