The material point method in large strain engineering problems

Więckowski, Zdzisław

doi:10.1016/j.cma.2004.01.035

Cited by 174 publications

(77 citation statements)

References 36 publications

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“…Its application to geotechnical engineering has been discussed and demonstrated by Solowski and Sloan [35]. Its ability to tackle fluid-like behaviours of granular material has been demonstrated by Wieckowski [42]. Andersen [1] showed that MPM was able to model the column collapse using a simple MohrCoulomb model.…”

Section: Simulating the Column Collapsementioning

confidence: 99%

The role of constitutive models in MPM simulations of granular column collapses

Fern

Soga

2016

Acta Geotech.

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The granular column collapse is a well-established experiment which consists of having a vertical column of granular material on a flat surface and letting it collapse by gravity. Despite its simplicity in execution, the numerical modelling of a column collapse remains challenging. So far, much attention has been dedicated in assessing the ability of various numerical methods in modelling the large deformation and little to the role of the constitutive model on both the triggering mechanism and the flow behaviour. Furthermore, the influence of the initial density, and its associated dilatancy and strength characteristics, have never been included in the analyses. Most past numerical investigations had relied on simple constitutive relations which do not consider the softening behaviours. The aim of this study is to illustrate the influence of the constitutive model on the on-set of failure, the flow behaviour and the deposition profile using the material point method. Three constitutive models were used to simulate the collapse of two granular columns with different geometries and for two densities. The results of the simulations showed that the constitutive model had a twofold influence on the collapse behaviour. It defined the volume of the mobilised mass which spread along the flat surface and controlled the dissipation of its energy. The initial density was found to enhance the failure angle and flow behaviours and was more significant for small columns than for larger ones. The analysis of the potential energy of the mobilised mass explained the existence of two collapse regimes.

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Section: Simulating the Column Collapsementioning

confidence: 99%

The role of constitutive models in MPM simulations of granular column collapses

Fern

Soga

2016

Acta Geotech.

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“…The idea of combining fixed meshes with moving particles is not new. It was introduced for convection diffusion problems in [15] and was used in the so-called Particle in Cell method (PIC) [16] and later in its extension called the Material Point Method (MPM) [17]. All these methods use a Finite Element (FE) background mesh.…”

Section: Introductionmentioning

confidence: 99%

Lagrangian versus Eulerian integration errors

Idelsohn

Oñate

Nigro

et al. 2015

Computer Methods in Applied Mechanics and Engineering

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“…The material point velocity is determined using the computational mesh which automatically ensures no inter-penetration between the contacting bodies. The formulation of the material point method is described in details by Sulsky and Schreyer [25] and Wieckowski [28]. Here a brief outline of the method is presented in order to provide a context for our model for brittle failure.…”

Section: Outline Of the Materials Point Methodsmentioning

confidence: 99%

“…The MPM has been used to simulate impact problems [25,26] and the behaviour of granular materials [27,28]. It has also been used to simulate crack propagation by Sulsky and Shreyer [29].…”

mentioning

confidence: 99%

Modelling brittle impact failure of disc particles using material point method

Pan

Sinka

2011

International Journal of Impact Engineering

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Understanding the impact failure of particles made of brittle materials such as glasses, ceramics and rocks is an important issue for many engineering applications. During the impact, a solid particle is turned into a discrete assembly of many fragments through the development of multiple cracks. The finite element method is fundamentally ill-equipped to model this transition. Recently a so-called material point method (MPM) has been used to study a wide range of problems of material and structural failures. In this paper we propose a new material point model for the brittle failure which incorporates a statistical failure criterion. The capability of the method for modelling multiple cracks is demonstrated using disc particles. Three impact failure patterns observed experimentally are captured by the model: Hertzian ring cracks, meridian cracks, and multi-fragment cracks. Detailed stress analysis is carried out to interpret the experimental observations. In particular it is shown that the experimentally observed dependence of a threshold velocity for the initiation of meridian cracks on the particle size can be explained by the proposed model. The material points based scheme requires a relatively modest programming effort and avoids node splitting which makes it very attractive over the traditional finite element method.

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The material point method in large strain engineering problems

Cited by 174 publications

References 36 publications

The role of constitutive models in MPM simulations of granular column collapses

The role of constitutive models in MPM simulations of granular column collapses

Lagrangian versus Eulerian integration errors

Modelling brittle impact failure of disc particles using material point method

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