Large strain consolidation modelling using Dual Domain Material Point Method

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Abstract

Numerical analysis of large strain hydro-mechanical behaviour of soil is a challenging task. Such problems are typically solved with the Finite Element Method (FEM). However, the Finite Element Method is difficult to use for simulations of dynamic problems involving large strain and large displacement. For such problems, Material Point Method (MPM) seems promising, though its hydro – mechanical formulation, e.g. the coupled MPM with 2 sets of material points [1], still needs improvement. Additionally, the classical MPM suffers from numbers of numerical problems such as cell-crossing errors, which lead to pressure oscillations in the coupled formulation. This paper describes an improved formulation of the hydro-mechanical coupling by using the Dual Domain Material Point Method (DDMP) [2] enhanced with a null space filter [3] which helps to significantly decrease undesirable numerical errors.
To reduce the instability when material points cross to a neighbouring cell, the proposed algorithm uses DDMP, which introduces a continuous gradient of the shape function. To alleviate the oscillations of the fluid pressure, this paper also employs a combination of particle-based integration and a null space filter [3]. The described method can be applied to both fully and partially filled elements, unlike Gaussian integration which can be only used for fully-filled elements [4]. To improve the results further, proposed formulation uses alpha generalized time integration [5] which leads to dissipation of the numerical oscillations related to the high-frequency wave propagations. The proposed hydro-mechanical coupling is validated by comparing numerical solutions with the benchmark for the small and large strain consolidation problem.

Details

Original languageEnglish
Publication statusPublished - 20 Oct 2017
EventInternational Conference of the International Association for Computer Methods and Advances in Geomechanics - China, Wuhan, China
Duration: 19 Oct 201723 Oct 2017
Conference number: 15
http://www.15iacmag.org/dct/page/1

Conference

ConferenceInternational Conference of the International Association for Computer Methods and Advances in Geomechanics
Abbreviated titleIACMAG
CountryChina
CityWuhan
Period19/10/201723/10/2017
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    Research areas

  • Material Point Method, large strain, consolidation

ID: 15802491