January 26, 2021

Download Ebook Free The Material Point Method

The Material Point Method for Geotechnical Engineering

The Material Point Method for Geotechnical Engineering
Author : James Fern,Alexander Rohe,Kenichi Soga,Eduardo Alonso
Publisher : CRC Press
Release Date : 2019-01-30
Category : Technology & Engineering
Total pages :420
GET BOOK

This practical guide provides the best introduction to large deformation material point method (MPM) simulations for geotechnical engineering. It provides the basic theory, discusses the different numerical features used in large deformation simulations, and presents a number of applications -- providing references, examples and guidance when using MPM for practical applications. MPM covers problems in static and dynamic situations within a common framework. It also opens new frontiers in geotechnical modelling and numerical analysis. It represents a powerful tool for exploring large deformation behaviours of soils, structures and fluids, and their interactions, such as internal and external erosion, and post-liquefaction analysis; for instance the post-failure liquid-like behaviours of landslides, penetration problems such as CPT and pile installation, and scouring problems related to underwater pipelines. In the recent years, MPM has developed enough for its practical use in industry, apart from the increasing interest in the academic world.

The Material Point Method for Geotechnical Engineering

The Material Point Method for Geotechnical Engineering
Author : James Fern,Alexander Rohe,Kenichi Soga,Eduardo Alonso
Publisher : CRC Press
Release Date : 2019-02-01
Category : Technology & Engineering
Total pages :420
GET BOOK

This practical guide provides the best introduction to large deformation material point method (MPM) simulations for geotechnical engineering. It provides the basic theory, discusses the different numerical features used in large deformation simulations, and presents a number of applications -- providing references, examples and guidance when using MPM for practical applications. MPM covers problems in static and dynamic situations within a common framework. It also opens new frontiers in geotechnical modelling and numerical analysis. It represents a powerful tool for exploring large deformation behaviours of soils, structures and fluids, and their interactions, such as internal and external erosion, and post-liquefaction analysis; for instance the post-failure liquid-like behaviours of landslides, penetration problems such as CPT and pile installation, and scouring problems related to underwater pipelines. In the recent years, MPM has developed enough for its practical use in industry, apart from the increasing interest in the academic world.

The Material Point Method for Geotechnical Engineering

The Material Point Method for Geotechnical Engineering
Author : Taylor & Francis Group
Publisher : CRC Press
Release Date : 2020-12-18
Category :
Total pages :442
GET BOOK

This practical guide provides the best introduction to large deformation material point method (MPM) simulations for geotechnical engineering. It provides the basic theory, discusses the different numerical features used in large deformation simulations, and presents a number of applications -- providing references, examples and guidance when using MPM for practical applications. MPM covers problems in static and dynamic situations within a common framework. It also opens new frontiers in geotechnical modelling and numerical analysis. It represents a powerful tool for exploring large deformation behaviours of soils, structures and fluids, and their interactions, such as internal and external erosion, and post-liquefaction analysis; for instance the post-failure liquid-like behaviours of landslides, penetration problems such as CPT and pile installation, and scouring problems related to underwater pipelines. In the recent years, MPM has developed enough for its practical use in industry, apart from the increasing interest in the academic world.

The Material Point Method

The Material Point Method
Author : Xiong Zhang,Zhen Chen,Yan Liu
Publisher : Academic Press
Release Date : 2016-10-26
Category : Computers
Total pages :300
GET BOOK

The Material Point Method: A Continuum-Based Particle Method for Extreme Loading Cases systematically introduces the theory, code design, and application of the material point method, covering subjects such as the spatial and temporal discretization of MPM, frequently-used strength models and equations of state of materials, contact algorithms in MPM, adaptive MPM, the hybrid/coupled material point finite element method, object-oriented programming of MPM, and the application of MPM in impact, explosion, and metal forming. Recent progresses are also stated in this monograph, including improvement of efficiency, memory storage, coupling/combination with the finite element method, the contact algorithm, and their application to problems. Provides a user’s guide and several numerical examples of the MPM3D-F90 code that can be downloaded from a website Presents models that describe different types of material behaviors, with a focus on extreme events. Includes applications of MPM and its extensions in extreme events, such as transient crack propagation, impact/penetration, blast, fluid-structure interaction, and biomechanical responses to extreme loading

The Material Point Method for Solid and Fluid Simulation

The Material Point Method for Solid and Fluid Simulation
Author : Qi Guo
Publisher : Unknown
Release Date : 2020
Category :
Total pages :145
GET BOOK

The Material Point Method (MPM) has shown its high potential for physics-based simulation in the area of computer graphics. In this dissertation, we introduce a couple of improvements to the traditional MPM for different applications and demonstrate the advantages of our methods over the previous methods. First, we present a generalized transfer scheme for the hybrid Eulerian/Lagrangian method: the Polynomial Particle-In-Cell Method (PolyPIC). PolyPIC improves kinetic energy conservation during transfers, which leads to better vorticity resolution in fluid simulations and less numerical damping in elastoplasticity simulations. Our transfers are designed to select particle-wise polynomial approximations to the grid velocity that are optimal in the local mass-weighted L2 norm. Indeed our notion of transfers reproduces the original Particle-In-Cell Method (PIC) and recent Affine Particle-In-Cell Method (APIC). Furthermore, we derive a polynomial basis that is mass orthogonal to facilitate the rapid solution of the optimality condition. Our method applies to both of the collocated and staggered grid. As the second contribution, we present a novel method for the simulation of thin shells with frictional contact using a combination of MPM and subdivision finite elements. The shell kinematics are assumed to follow a continuum shell model which is decomposed into a Kirchhoff-Love motion that rotates the mid-surface normals followed by shearing and compression/extension of the material along the mid-surface normal. We use this decomposition to design an elastoplastic constitutive model to resolve frictional contact by decoupling resistance to contact and shearing from the bending resistance components of stress. We show that by resolving frictional contact with a continuum approach, our hybrid Lagrangian/Eulerian approach is capable of simulating challenging shell contact scenarios with hundreds of thousands to millions of degrees of freedom. Without the need for collision detection or resolution, our method runs in a few minutes per frame in these high-resolution examples. Furthermore, we show that our technique naturally couples with other traditional MPM methods for simulating granular and related materials. In the third part, we present a new hybrid Lagrangian Material Point Method for simulating volumetric objects with frictional contact. The resolution of frictional contact in the thin shell simulation cannot be generalized to the case of volumetric materials directly. Also, even though MPM allows for the natural simulation of hyperelastic materials represented with Lagrangian meshes, it usually coarsens the degrees of freedom of the Lagrangian mesh and can lead to artifacts, e.g., numerical cohesion. We demonstrate that our hybrid method can efficiently resolve these issues. We show the efficacy of our technique with examples that involve elastic soft tissues coupled with kinematic skeletons, extreme deformation, and coupling with various elastoplastic materials. Our approach also naturally allows for two-way rigid body coupling.

Cone Penetration Testing 2018

Cone Penetration Testing 2018
Author : Michael A. Hicks,Federico Pisanò,Joek Peuchen
Publisher : CRC Press
Release Date : 2018-06-13
Category : Technology & Engineering
Total pages :756
GET BOOK

Cone Penetration Testing 2018 contains the proceedings of the 4th International Symposium on Cone Penetration Testing (CPT’18, Delft, The Netherlands, 21-22 June 2018), and presents the latest developments relating to the use of cone penetration testing in geotechnical engineering. It focuses on the solution of geotechnical challenges using the cone penetration test (CPT), CPT add-on measurements and companion in-situ penetration tools (such as full flow and free fall penetrometers), with an emphasis on practical experience and application of research findings. The peer-reviewed papers have been authored by academics, researchers and practitioners from many countries worldwide and cover numerous important aspects, ranging from the development of innovative theoretical and numerical methods of interpretation, to real field applications. This is an Open Access ebook, and can be found on www.taylorfrancis.com.

A Material Point Method for Simulating Frictional Contact with Diverse Materials

A Material Point Method for Simulating Frictional Contact with Diverse Materials
Author : Xuchen Han
Publisher : Unknown
Release Date : 2020
Category :
Total pages :116
GET BOOK

We present an extension to the Material Point Method (MPM) for simulating elastic objects with various co-dimensions like hair (1D), thin shells (2D), and volumetric objects (3D). We simulate thin shells with frictional contact using a combination of MPM and subdivision finite elements. The shell kinematics are assumed to follow a continuum shell model which is decomposed into a Kirchhoff-Love motion that rotates the mid-surface normals followed by shearing and compression/extension of the material along the mid-surface normal. We use this decomposition to design an elastoplastic constitutive model to resolve frictional contact by decoupling resistance to contact and shearing from the bending resistance components of stress. We show that by resolving frictional contact with a continuum approach, our hybrid Lagrangian/Eulerian approach is capable of simulating challenging shell contact scenarios with hundreds of thousands to millions of degrees of freedom. Furthermore our technique naturally couples with other traditional MPM methods for simulating granular materials. Without the need for collision detection or resolution, our method runs in a few minutes per frame in these high resolution examples. For the simulation of hair and volumetric elastic objects, we utilize a Lagrangian mesh for internal force computation and an Eulerian mesh for self collision as well as coupling with external materials. While the updated Lagrangian discretization where the Eulerian grid degrees of freedom are used to take variations of the potential energy is effective in simulating thin shells, its frictional contact response strategy does not generalize to volumetric objects. Therefore, we develop a hybrid approach that retains Lagrangian degrees of freedom while still allowing for natural coupling with other materials simulated with traditional MPM. We demonstrate the efficacy of our technique with examples that involve elastic soft tissues coupled with kinematic skeletons, extreme deformation, and coupling with multiple elastoplastic materials. Our approach also naturally allows for two-way rigid body coupling.

The Material Point Method for Simulating Elastoplastic Materials

The Material Point Method for Simulating Elastoplastic Materials
Author : Chuyuan Fu
Publisher : Unknown
Release Date : 2018
Category :
Total pages :134
GET BOOK

Simulation in computer graphics must accommodate a wide range of material behaviors under large deformation, topological changes, contact or collision. This dissertation focuses on hybrid Lagrangian/Eulerian methods, especially the Material Point Method (MPM) in computer animation, and we list the major contributions here: First, we simulate sand dynamics using an elastoplastic, continuum assumption. We demonstrate that the Drucker-Prager plastic flow model combined with a Hencky-strain-based hyperelasticity accurately recreates a wide range of visual sand phenomena with moderate computational expense. The Drucker-Prager model naturally represents the frictional relation between shear and normal stresses through a yield stress criterion. We develop a stress projection algorithm used for enforcing this condition with a non-associative flow rule. We further extend the idea of simulating sand dynamics using an elastoplastic continuum assumption to codimensional objects. Our second contribution is to introduce a novel method for simulation of thin shells with frictional contact using a combination of the MPM and subdivision finite elements. The shell kinematics are assumed to follow a continuum shell model which is decomposed into a Kirchhoff-Love motion that rotates the mid-surface normals followed by shearing and compression/extension of the material along the mid-surface normal. We use this decomposition to decouple resolving contact and shearing from the bending resistance components of stress. Our approach is capable of simulating challenging shell contact scenarios with hundreds of thousands to millions of degrees of freedom with a moderate cost of only a few minutes per frame. Our third contribution is to introduce a novel transfer scheme for hybrid Lagrangian/Eulerian simulations. Recently the Affine Particle-In-Cell (APIC) Method was introduced to improve the accuracy of the transfers in Particle-In-Cell (PIC) without suffering from the noise present in the historic alternative, Fluid-Implicit-Particle (FLIP). We generalize APIC by augmenting each particle with a more general local function. Our transfers are designed to select particle-wise polynomial approximations to the grid velocity that are optimal in the local mass-weighted $L^2$ norm. With only marginal additional cost, our generalization improves kinetic energy conservation during transfers which leads to better vorticity resolution in fluid simulations and less numerical damping in elastoplasticity simulations.

Simulation of Granular Flows with the Material Point Method

Simulation of Granular Flows with the Material Point Method
Author : Philip Alsop
Publisher : Unknown
Release Date : 2018
Category :
Total pages :129
GET BOOK

The primary objective of this thesis is to investigate the particle and pressure distribution of granular transitional flows using the Material Point Method (MPM). Additionally, the role of the fluid phase in submerged flows will be examined in the granular column collapse problem. Simulations of dry granular column collapse are carried out and compared to existing experimental and simulation references on the basis of runout distance and total collapse time. Model and material parameters are calibrated to match 2D plane-strain experiments of granular column collapse performed at Uniandes. A novel two phase two point fully coupled MPM formulation is developed considering an incompressible fluid phase, that allows for soil-water and free-water interactions with free-surface effects.

Landslides in Sensitive Clays

Landslides in Sensitive Clays
Author : Vikas Thakur,Jean-Sébastien L'Heureux,Ariane Locat
Publisher : Springer
Release Date : 2017-05-23
Category : Nature
Total pages :603
GET BOOK

This book gathers the most recent scientific research on the geological, geotechnical and geophysical aspects of slope failure in sensitive clays. Gathering contributions by international experts, it focuses on understanding the complete and practical spectrum of challenges presented by landslides in such complex materials. Based on sound and validated research results, the book also presents several recommendations that could be implemented in the guidelines or code-of-practice. These recommendations cover topics including the characterization and behavior of sensitive clays; the pre-failure, failure and post-failure stages of sensitive clays; mapping and identification methods; climate change; hazard assessment; and risk management. Sensitive clays are known for their potential for causing large landslides, which pose a serious risk to human lives, infrastructure, and surrounding ecosystems within their reach. This has been demonstrated by the recent catastrophic landslides in e.g. Sørum (2016), Skjeggestad (2015), Statland (2014), Byneset (2012), St-Jude (2010), Lyngen (2010) and Kattmarka (2009). The 2015 collapse of the Skjeggestad Bridge in Norway – which was due to a landslide in sensitive clay – alone costs millions of dollars in repairs. Recently, efforts are being made to increase society’s ability to cope with such landslide hazards. Geoscientists are now expected to provide input to the agencies responsible for landslide-risk preparedness. In other words, geoscientists’ role is not only to act as technologists to establish new theories, but also to go the extra mile to implement them in practice, so as to find meaningful solutions to geotechnical problems.

Innovative Numerical Approaches for Multi-Field and Multi-Scale Problems

Innovative Numerical Approaches for Multi-Field and Multi-Scale Problems
Author : Kerstin Weinberg,Anna Pandolfi
Publisher : Springer
Release Date : 2016-06-24
Category : Technology & Engineering
Total pages :307
GET BOOK

This book provides readers with a detailed insight into diverse and exciting recent developments in computational solid mechanics, documenting new perspectives and horizons. The topics addressed cover a wide range of current research, from computational materials modeling, including crystal plasticity, micro-structured materials, and biomaterials, to multi-scale simulations of multi-physics phenomena. Particular emphasis is placed on pioneering discretization methods for the solution of coupled non-linear problems at different length scales. The book, written by leading experts, reflects the remarkable advances that have been made in the field over the past decade and more, largely due to the development of a sound mathematical background and efficient computational strategies. The contents build upon the 2014 IUTAM symposium celebrating the 60th birthday of Professor Michael Ortiz, to whom this book is dedicated. His work has long been recognized as pioneering and is a continuing source of inspiration for many researchers. It is hoped that by providing a "taste" of the field of computational mechanics, the book will promote its popularity among the mechanics and physics communities.

A Material Point Method for Elastoplasticity with Ductile Fracture and Frictional Contact

A Material Point Method for Elastoplasticity with Ductile Fracture and Frictional Contact
Author : Stephanie Wang
Publisher : Unknown
Release Date : 2020
Category :
Total pages :133
GET BOOK

Simulating physical materials with dynamic movements to photo-realistic resolution has always been one of the most crucial and challenging topics in Computer Graphics. This dissertation considers large-strain elastoplasticity theory applied to the low-to-medium stiffness regime, with topological changes and codimensional objects incorporated. We introduce improvements to the Material Point Method (MPM) for two particular objectives, simulating fracturing ductile materials and incorporation of MPM and Lagrangian Finite Element Method (FEM). Our first contribution, simulating ductile fracture, utilizes traditional particle-based MPM [SSC13, SCS94] as well as the Lagrangian energy formulation of [JSS15] which uses a tetrahedron mesh, rather than particle-based estimation of the deformation gradient and potential energy. We model failure and fracture via elastoplasticity with damage. The material is elastic until its deformation exceeds a Rankine or von Mises yield condition. At that point, we use a softening model that shrinks the yield surface until it reaches the damage thresh- old. Once damaged, the material Lam e coefficients are modified to represent failed material. This approach to simulating ductile fracture with MPM is successful, as MPM naturally captures the topological changes coming from the fracture. However, rendering the crack surfaces can be challenging. We design a novel visualization technique dedicated to rendering the material's boundary and its intersection with the evolving crack surfaces. Our approach uses a simple and efficient element splitting strategy for tetrahedron meshes to create crack surfaces. It employs an extrapolation technique based on the MPM simulation. For traditional particle-based MPM, we use an initial Delaunay tetrahedralization to connect randomly sampled MPM particles. Our visualization technique is a post-process and can run after the MPM simulation for efficiency. We demonstrate our method with several challenging simulations of ductile failure with considerable and persistent self-contact and applications with thermomechanical models for baking and cooking. Our second contribution, hybrid MPM-Lagrangian-FEM, aims to simulate elastic objects like hair, rubber, and soft tissues. It utilizes a Lagrangian mesh for internal force computation and a Eulerian grid for self-collision, as well as coupling with external materials. While recent MPM techniques allow for natural simulation of hyperelastic materials represented with Lagrangian meshes, they utilize an updated Lagrangian discretization and use the Eulerian grid degrees of freedom to take variations of the potential energy. It often coarsens the degrees of freedom of the Lagrangian mesh and can lead to artifacts. We develop a hybrid approach that retains Lagrangian degrees of freedom while still allowing for natural coupling with other materials simulated with traditional MPM, e.g., sand, snow, etc. Furthermore, while recent MPM advances allow for resolution of frictional contact with codimensional simulation of hyperelasticity, they do not generalize to the case of volumetric materials. We show that our hybrid approach resolves these issues. We demonstrate the efficacy of our technique with examples that involve elastic soft tissues coupled with kinematic skeletons, extreme deformation, and coupling with various elastoplastic materials. Our approach also naturally allows for two-way rigid body coupling.

Landslides and Engineered Slopes. Experience, Theory and Practice

Landslides and Engineered Slopes. Experience, Theory and Practice
Author : Stefano Aversa,Leonardo Cascini,Luciano Picarelli,Claudio Scavia
Publisher : CRC Press
Release Date : 2018-04-17
Category : Science
Total pages :2224
GET BOOK

Landslides and Engineered Slopes. Experience, Theory and Practice contains the invited lectures and all papers presented at the 12th International Symposium on Landslides, (Naples, Italy, 12-19 June 2016). The book aims to emphasize the relationship between landslides and other natural hazards. Hence, three of the main sessions focus on Volcanic-induced landslides, Earthquake-induced landslides and Weather-induced landslides respectively, while the fourth main session deals with Human-induced landslides. Some papers presented in a special session devoted to "Subareal and submarine landslide processes and hazard” and in a “Young Session” complete the books. Landslides and Engineered Slopes. Experience, Theory and Practice underlines the importance of the classic approach of modern science, which moves from experience to theory, as the basic instrument to study landslides. Experience is the key to understand the natural phenomena focusing on all the factors that play a major role. Theory is the instrument to manage the data provided by experience following a mathematical approach; this allows not only to clarify the nature and the deep causes of phenomena but mostly, to predict future and, if required, manage similar events. Practical benefits from the results of theory to protect people and man-made works. Landslides and Engineered Slopes. Experience, Theory and Practice is useful to scientists and practitioners working in the areas of rock and soil mechanics, geotechnical engineering, engineering geology and geology.

Transactions on Edutainment XIII

Transactions on Edutainment XIII
Author : Zhigeng Pan,Adrian David Cheok,Wolfgang Müller,Mingmin Zhang
Publisher : Springer
Release Date : 2017-03-07
Category : Computers
Total pages :304
GET BOOK

This journal subline serves as a forum for stimulating and disseminating innovative research ideas, theories, emerging technologies, empirical investigations, state-of-the-art methods, and tools in all different genres of edutainment, such as game-based learning and serious games, interactive storytelling, virtual learning environments, VR-based education, and related fields. It covers aspects from educational and game theories, human-computer interaction, computer graphics, artificial intelligence, and systems design. The 25 papers presented in the 13th issue were organized in topical sections named: learning games and visualization; virtual reality and applications; 3D graphics technology, multimedia computing, and others.

A Material Point Method for Complex Fluids

A Material Point Method for Complex Fluids
Author : Daniel Ram
Publisher : Unknown
Release Date : 2015
Category :
Total pages :110
GET BOOK

We present a novel Material Point Method for simulating complex materials. The method achieves plasticity effects via the temporal evolution of the left elastic Cauchy-Green strain. We recast the upper-convected derivative of the strain in the Oldroyd-B constitutive model as a plastic flow and are able to simulate elastic and viscoelastic effects. Our model provides a volume-preserving rate-based description of plasticity that does not require singular value decompositions. Our semi-implicit discretization allows for high-resolution simulations. We also present novel discretizations of the temporal update of the left elastic Cauchy-Green strain for several constitutive models that preserve symmetry and positive-definiteness of the strain for use in the Material Point Method. A novel modification to a constitutive model is also presented that models material softening under plastic compression.