Modelling of membranes in the material point method with applications

Hamad, Fursan; Stolle, Dieter; Vermeer, P. A.

doi:10.1002/nag.2336

Cited by 23 publications

(6 citation statements)

References 19 publications

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“…A fully coupled hydro-mechanical material point code was developed for saturated soils within the MPM Research Community framework [26][27][28][29]. A strain softening elastoplastic constitutive law was has been implemented with the purpose of analysing progressive failure phenomena that take place in materials exhibiting a reduction of the strength with increasing strain [30].…”

Section: Introductionmentioning

confidence: 99%

Run-out of landslides in brittle soils

Yerro¹,

Alonso

Pinyol

2016

Computers and Geotechnics

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One of the factors causing the acceleration of landslides is the loss of strength of the soil involved in the potential unstable mechanism. The travelled distance and the landslide velocity, a key factor in risk analysis, will be determined by the loss of resistant forces. Brittle behaviour, commonly associated with cemented soils, overconsolidated plastic clay formations and sensitive clays, lead to the progressive failure phenomenon explained by the reduction of the strength with increasing strain. In the present study, this phenomenon has been analysed in the case of a saturated slope which becomes unstable by increasing the boundary pore water pressure. A Mohr-Coulomb model with strain softening behaviour induced by increasing deviatoric plastic strain is used. The paper focusses not only on the stability of the slope but also on the post failure behaviour (run-out and sliding velocity). A coupled hydro-mechanical formulation of the material point method has been used to simulate the whole instability process. The influence of the brittleness of the material on the triggering of instability and run-out is evaluated by means of a parametric study varying peak and residual strength. The onset of the failure and the failure geometry are controlled by both peak and residual values. Good correlations between run-outs and brittleness are found. The decay of the strength determines the acceleration of the landslides and the travelled distance.Peer ReviewedPostprint (author's final draft

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Section: Introductionmentioning

confidence: 99%

Run-out of landslides in brittle soils

Yerro¹,

Alonso

Pinyol

2016

Computers and Geotechnics

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“…Since its first introduction [1,2], the material point method has been used in many problems involving large material deformations [3,4,5,6,7,8] in which a traditional finite element method encounters difficulties due to mesh or element distortion. Although both the finite element method and the material point method seek approximate weak solutions to the partial differential equations, there are two significant differences that result in different numerical properties of the methods.…”

Section: Introductionmentioning

confidence: 99%

Material point methods applied to one-dimensional shock waves and dual domain material point method with sub-points

Dhakal¹,

Zhang²

2016

Journal of Computational Physics

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Using a simple one-dimensional shock problem as an example, the present paper investigates numerical properties of the original material point method (MPM), the generalized interpolation material point (GIMP) method, the convected particle domain interpolation (CPDI) method, and the dual domain material point (DDMP) method. For a weak isothermal shock of ideal gas, the MPM cannot be used with accuracy. With a small number of particles per cell, GIMP and CPDI produce reasonable results. However, as the number of particles increases the methods fail to converge and produce pressure spikes. The DDMP method behaves in an opposite way. With a small number of particles per cell, DDMP results are unsatisfactory. As the number of particles increases, the DDMP results converge to correct solutions, but the large number of particles needed for convergence makes the method very expensive to use in these types of shock wave problems in two-or three-dimensional cases. The cause for producing the unsatisfactory DDMP results is identified. A simple improvement to the method is introduced by using sub-points. With this improvement, the DDMP method produces high quality numerical solutions with a very small number of particles. Although in the present paper, the numerical examples are one-dimensional, all derivations are for multidimensional problems. With the technique of approximately tracking particle domains of CPDI, the extension of this sub-point method to multidimensional problems is straightforward. This new method preserves the conservation properties of the

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“…Since its first introduction [15,16], the material point method has been used in many problems involving large material deformations [17,18,19,20,21,22] in which a traditional finite element method encounters difficulties due to mesh or element distortion.…”

Section: Continuum Equation Solution Methodsmentioning

confidence: 99%

Multi-scale calculation based on dual domain material point method combined with molecular dynamics

Dhakal¹

2017

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Multi-scale calculation based on dual domain material point method combined with molecular dynamics by Tilak R. Dhakal This dissertation combines the dual domain material point method (DDMP) with molecular dynamics (MD) in an attempt to create a multi-scale numerical method to simulate materials undergoing large deformations with high strain rates. In these types of problems, the material is often in a thermodynamically non-equilibrium state, and conventional constitutive relations are often not available. In this method, the closure quantities, such as stress, at each material point are calculated from a MD simulation of a group of atoms surrounding the material point. Rather than restricting I would like to thank Physics and

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Modelling of membranes in the material point method with applications

Cited by 23 publications

References 19 publications

Run-out of landslides in brittle soils

Run-out of landslides in brittle soils

Material point methods applied to one-dimensional shock waves and dual domain material point method with sub-points

Multi-scale calculation based on dual domain material point method combined with molecular dynamics

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