scholarly journals MPM and ALE Simulations of Large Deformations Geotechnics Instability Problems

DYNA ◽  
2020 ◽  
Vol 87 (212) ◽  
pp. 226-235
Author(s):  
Giovanna Monique Alelvan ◽  
Daniela Toro Rojas ◽  
Amanda Cristina Pedron Rossato ◽  
Raydel Lorenzo Reinaldo ◽  
Manoel Porfirio Cordão Neto
Keyword(s):  
Large Deformations ◽  
Material Point Method ◽  
Material Point ◽  
Large Displacements ◽  
Arbitrary Lagrangian Eulerian ◽  
Inclined Plane ◽  
Ale Method ◽  
Advantages And Disadvantages ◽  
Comparison Of The Results ◽  
The Continuum

Problems involving large deformations are the focus of numerical modeling researches in recent decades due to the challenge of finding a kinematic appropriate description of the continuum. In recent years, different formulations have been used to describe such problems as the Arbitrary Lagrangian Eulerian (ALE) method and the Material Point Method (MPM). These two methods allow to perform dynamic analyzes involving large deformations. In this way, this work aims to present a comparison of problems applied to Geotechnics involving large deformations and large displacements, using MPM and FEM associated with the ALE method. For this purpose, three problems are simulated: sliding of blocks on an inclined plane, runout process of sand and instability of a slope using the MPM and the FEM associated with the ALE method. In all cases a comparison of the results is presented, and the advantages and disadvantages of each method are discussed.

Modeling Nanocomposite Piezoresistive Response With Electromechanical Cohesive Zone Material Point Method

2016 ◽  
Author(s):  
Adarsh K. Chaurasia ◽  
Gary D. Seidel
Keyword(s):  
Cohesive Zone ◽  
Large Deformations ◽  
Material Point Method ◽  
Material Point ◽  
Volume Element ◽  
Point Method ◽  
Current Work ◽  
Secondary Field ◽  
Small Strains ◽  
The Matrix

In the current work, the Material Point Method (MPM) is extended to allow for interfacial discontinuities in problems with composite materials using cohesive zone (CZ) techniques. The proposed CZMPM is observed to result in smaller errors in the primary and secondary field variables, especially near the interface, for a given boundary value problem in comparison to the traditional MPM solution. The proposed CZMPM is used to solve an electromechanical test problem with a single fiber in the matrix medium. It is observed that the proposed CZMPM results in smaller local and volume averaged errors. The CZMPM is further used to evaluate the effective piezoresistive response of the nanoscale carbon nanotube (CNT)-polymer composite with electron hopping in between the nanotubes. The observed effective piezoresistive response exhibits features similar to those reported in the literature using finite element techniques for small strains. However, CZMPM allows for large deformations of the nanoscale representative volume element as presented in the current work.

scholarly journals Run-Out Simulation of a Landslide Triggered by an Increase in the Groundwater Level Using the Material Point Method

Water ◽  
2020 ◽  
Vol 12 (10) ◽  
pp. 2817
Author(s):  
Antonello Troncone ◽  
Luigi Pugliese ◽  
Enrico Conte
Keyword(s):  
Groundwater Level ◽  
Large Deformations ◽  
Material Point Method ◽  
Material Point ◽  
Point Method ◽  
Deformation Mechanisms ◽  
The Finite Element Method ◽  
Numerical Techniques ◽  
Rainy Period ◽  
Small Deformations

Deformation mechanisms of the slopes are commonly schematized in four different stages: pre-failure, failure, post-failure and eventual reactivation. Traditional numerical methods, such as the finite element method and the finite difference method, are commonly employed to analyse the slope response in the pre-failure and failure stages under the assumption of small deformations. On the other hand, these methods are generally unsuitable for simulating the post-failure behaviour due to the occurrence of large deformations that often characterize this stage. The material point method (MPM) is one of the available numerical techniques capable of overcoming this limitation. In this paper, MPM is employed to analyse the post-failure stage of a landslide that occurred at Cook Lake (WY, USA) in 1997, after a long rainy period. Accuracy of the method is assessed by comparing the final geometry of the displaced material detected just after the event, to that provided by the numerical simulation. A satisfactory agreement is obtained between prediction and observation when an increase in the groundwater level due to rainfall is accounted for in the analysis.

On Application of the Maximum Entropy Meshless Method for Large Deformation Analysis of Geotechnical Problems

2016 ◽  
Vol 846 ◽  
pp. 331-335 ◽  
Author(s):  
Nadia Zakrzewski ◽  
Majidreza Nazem ◽  
Scott William Sloan ◽  
Mark Cassidy
Keyword(s):  
Maximum Entropy ◽  
Large Deformations ◽  
Geometrical Nonlinearity ◽  
Deformation Analysis ◽  
The Finite Element Method ◽  
Limited Success ◽  
Comparison Of The Results ◽  
Geotechnical Problems ◽  
Grid Based ◽  
The Continuum

Traditional grid-based numerical techniques such as the Finite Element Method (FEM) are known to suffer when large deformations of the continuum are encountered. As such, there has been limited success using this class of methods to solve many of the complex problems encountered in computational geomechanics. The potential of Meshfree techniques for addressing this perceived deficiency has been recognised. This study presents a robust Maximum Entropy Meshless (MEM) method for the analysis of problems involving geometrical nonlinearity in computational geomechanics. The method is validated via simulation of an undrained layer of soil under a rigid and rough strip footing undergoing large deformations and its merit is demonstrated through a comparison of the results with those obtained via the FEM.

A Numerical Study of Compaction of Dry Granular Material

2002 ◽  
Vol 759 ◽  
Author(s):  
Deborah Sulsky
Keyword(s):  
Large Deformations ◽  
Numerical Study ◽  
Material Point Method ◽  
Material Point ◽  
Strain Response ◽  
Granular Bed ◽  
Exponential Distributions ◽  
Small Peak ◽  
The Mean ◽  
Small Deformations

ABSTRACTThe material-point method is used to examine numerically the macroscopic stress-strain response of a granular sample under compression. The simulations reproduce experimental observations of the large stiffening that occurs as the granular bed becomes packed. We also show the network of force chains that forms and how the character of contacts between grains changes for large deformations. Finally, we examine the probability distribution of forces and observe exponential distributions above the mean with a small peak at the mean for small deformations, and a transition to a larger peak at larger deformations.

scholarly journals Fast and efficient MATLAB-based MPM solver (fMPMM-solver v1.0)

2020 ◽  
Author(s):  
Emmanuel Wyser ◽  
Michel Jaboyedoff ◽  
Yury Y. Podladchikov
Keyword(s):  
Cantilever Beam ◽  
Large Scale ◽  
Solid Mechanics ◽  
Large Deformations ◽  
Material Point Method ◽  
Material Point ◽  
Snow Avalanches ◽  
High Level Language ◽  
Numerical Accuracy ◽  
High Level

Abstract. In this contribution, we present an efficient MATLAB-based implementation of the material point method (MPM) and its most recent variants. MPM has gained popularity over the last decade, especially for problems in solid mechanics in which large deformations are involved, i.e., cantilever beam problems, granular collapses and even large-scale snow avalanches. Although its numerical accuracy is lower than that of the widely accepted finite element method (FEM), MPM has been proven useful in overcoming some of the limitations of FEM, such as excessive mesh distortions. We demonstrate that MATLAB is an efficient high-level language for MPM implementations that solve elasto-dynamic and elasto-plastic problems, such as the cantilever beam and granular collapses, respectively. We report a computational efficiency factor of 20 for a vectorized code compared to a classical iterative version. In addition, the numerical efficiency of the solver surpassed those of previously reported MPM implementations in Julia, ad minima 2.5 times faster under a similar computational architecture.

scholarly journals A Hybrid Material Point Method for Frictional Contact with Diverse Materials

2019 ◽  
Vol 2 (2) ◽  
pp. 1-24 ◽  
Author(s):  
Xuchen Han ◽  
Theodore F. Gast ◽  
Qi Guo ◽  
Stephanie Wang ◽  
Chenfanfu Jiang ◽  
...  
Keyword(s):  
Hybrid Material ◽  
Frictional Contact ◽  
Material Point Method ◽  
Material Point ◽  
Point Method
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