Application of a second-order implicit material point method

M Burg; L.J. Lim; Ronald Brinkgreve

doi:10.1016/j.proeng.2017.01.024

Application of a second-order implicit material point method

Geo-engineering

Research output: Chapter in Book/Conference proceedings/Edited volume › Conference contribution › Scientific › peer-review

1 Citation (Scopus)

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Abstract

In this work, we present the application of a newly developed implicit second-order Material Point Method (MPM) on offshore geotechnical applications. The presented second-order MPM uses a special set of piecewise quadratic shape functions to circumvent the well-known issue of producing zero nodal mass contributions. To mitigate the effect of the standard MPM to produce highly oscillating stresses across cell interfaces, we have carried over our ideas obtained from the derivation of the second-order MPM to the Dual Domain Material Point (DDMP) Method, too. The resulting second-order DDMP Method produces a smoother stress distribution across the entire computational domain while being able to profit from the improved convergence rates of second-order finite elements. In a numerical example from geotechnical engineering applications, we illustrate the practical application of our enhanced Material Point and DDMP Methods by simulating a cone penetration.

Original language	English
Title of host publication	Procedia Engineering
Editors	Alexander Rohe, Kenichi Soga, Hans Teunissen, Bruno Zuada Coelho
Publisher	Elsevier
Pages	279-286
Number of pages	8
Volume	175
DOIs	https://doi.org/10.1016/j.proeng.2017.01.024
Publication status	Published - 2017
Event	1st International Conference on the Material Point Method: Modelling Large Deformation and Soil–Water–Structure Interaction - Deltares, Delft, Netherlands Duration: 10 Jan 2017 → 13 Jan 2017 Conference number: 1 http://mpm2017.eu/home

Publication series

Name	Procedia Engineering
Publisher	Elsevier
Volume	175
ISSN (Electronic)	1877-7058

Conference

Conference	1st International Conference on the Material Point Method
Abbreviated title	MPM 2017
Country/Territory	Netherlands
City	Delft
Period	10/01/17 → 13/01/17
Other	We are delighted to invite you to join us at the First International Conference on the Material Point Method for “Modelling Large Deformation and Soil–Water–Structure Interaction” organised by the Anura 3D MPM Research Community in January 2017 in Delft. This is the first conference following a series of international workshops and symposia previously held in Padova (2016), Barcelona (2015), Cambridge (2014) and Delft (2013) in the context of the FP7 Marie-Curie project MPM–DREDGE.
Internet address	http://mpm2017.eu/home

Keywords

material point method
DDMP
large deformations
particle-in-cell method
offshore geotechnical engineering

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10.1016/j.proeng.2017.01.024

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Cite this

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title = "Application of a second-order implicit material point method",

abstract = "In this work, we present the application of a newly developed implicit second-order Material Point Method (MPM) on offshore geotechnical applications. The presented second-order MPM uses a special set of piecewise quadratic shape functions to circumvent the well-known issue of producing zero nodal mass contributions. To mitigate the effect of the standard MPM to produce highly oscillating stresses across cell interfaces, we have carried over our ideas obtained from the derivation of the second-order MPM to the Dual Domain Material Point (DDMP) Method, too. The resulting second-order DDMP Method produces a smoother stress distribution across the entire computational domain while being able to profit from the improved convergence rates of second-order finite elements. In a numerical example from geotechnical engineering applications, we illustrate the practical application of our enhanced Material Point and DDMP Methods by simulating a cone penetration. ",

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booktitle = "Procedia Engineering",

note = "1st International Conference on the Material Point Method : Modelling Large Deformation and Soil–Water–Structure Interaction, MPM 2017 ; Conference date: 10-01-2017 Through 13-01-2017",

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Burg, M, Lim, LJ & Brinkgreve, R 2017, Application of a second-order implicit material point method. in A Rohe, K Soga, H Teunissen & B Zuada Coelho (eds), Procedia Engineering. vol. 175, Procedia Engineering, vol. 175, Elsevier, pp. 279-286, 1st International Conference on the Material Point Method, Delft, Netherlands, 10/01/17. https://doi.org/10.1016/j.proeng.2017.01.024

Application of a second-order implicit material point method. / Burg, M; Lim, L.J.; Brinkgreve, Ronald.
Procedia Engineering. ed. / Alexander Rohe; Kenichi Soga; Hans Teunissen; Bruno Zuada Coelho. Vol. 175 Elsevier, 2017. p. 279-286 (Procedia Engineering; Vol. 175).

Research output: Chapter in Book/Conference proceedings/Edited volume › Conference contribution › Scientific › peer-review

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N2 - In this work, we present the application of a newly developed implicit second-order Material Point Method (MPM) on offshore geotechnical applications. The presented second-order MPM uses a special set of piecewise quadratic shape functions to circumvent the well-known issue of producing zero nodal mass contributions. To mitigate the effect of the standard MPM to produce highly oscillating stresses across cell interfaces, we have carried over our ideas obtained from the derivation of the second-order MPM to the Dual Domain Material Point (DDMP) Method, too. The resulting second-order DDMP Method produces a smoother stress distribution across the entire computational domain while being able to profit from the improved convergence rates of second-order finite elements. In a numerical example from geotechnical engineering applications, we illustrate the practical application of our enhanced Material Point and DDMP Methods by simulating a cone penetration.

AB - In this work, we present the application of a newly developed implicit second-order Material Point Method (MPM) on offshore geotechnical applications. The presented second-order MPM uses a special set of piecewise quadratic shape functions to circumvent the well-known issue of producing zero nodal mass contributions. To mitigate the effect of the standard MPM to produce highly oscillating stresses across cell interfaces, we have carried over our ideas obtained from the derivation of the second-order MPM to the Dual Domain Material Point (DDMP) Method, too. The resulting second-order DDMP Method produces a smoother stress distribution across the entire computational domain while being able to profit from the improved convergence rates of second-order finite elements. In a numerical example from geotechnical engineering applications, we illustrate the practical application of our enhanced Material Point and DDMP Methods by simulating a cone penetration.

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KW - particle-in-cell method

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BT - Procedia Engineering

A2 - Rohe, Alexander

A2 - Soga, Kenichi

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T2 - 1st International Conference on the Material Point Method

Y2 - 10 January 2017 through 13 January 2017

ER -

Application of a second-order implicit material point method

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