Extended Finite Element Method

• Author : Zhuo Zhuang,Zhanli Liu,Binbin Cheng,Jianhui Liao
• Publisher : Academic Press
• Release : 31 March 2014

Extended Finite Element Method provides an introduction to the extended finite element method (XFEM), a novel computational method which has been proposed to solve complex crack propagation problems. The book helps readers understand the method and make effective use of the XFEM code and software plugins now available to model and simulate these complex problems. The book explores the governing equation behind XFEM, including level set method and enrichment shape function. The authors outline a new XFEM algorithm based on

• Author : James Fern,Alexander Rohe,Kenichi Soga,Eduardo Alonso
• Publisher : CRC Press
• Release : 30 January 2019

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

• Author : Xiong Zhang,Zhen Chen,Yan Liu
• Publisher : Academic Press
• Release : 26 October 2016

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

• Author : James Fern,Alexander Rohe,Kenichi Soga,Eduardo Alonso
• Publisher : CRC Press
• Release : 01 February 2019

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

• Author : Anonim
• Publisher : Unknown
• Release : 14 June 2021

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

• Author : Anonim
• Publisher : Unknown
• Release : 14 June 2021

The material point method (MPM) is an evolution of the particle in cell method where Lagrangian particles or material points are used to discretize the volume of a material. The particles carry properties such as mass, velocity, stress, and strain and move through a Eulerian or spatial mesh. The momentum equation is solved on the Eulerian mesh. Modifications to the material point method are developed that allow the simulation of thin membranes, compressible fluids, and their dynamic interactions. A single

• Author : Sachith Anurudde Dunatunga,Massachusetts Institute of Technology. Department of Mechanical Engineering
• Publisher : Unknown
• Release : 14 June 2021

A nonlocal model for dense granular flow is implemented in the material point method (MPM), an extension of the finite element method (FEM) for solid mechanics. The nonlocal model used has shown great predictive capability for dense flows when implemented in the finite element framework, but limitations of FEM prevent application of the model to truly large scale, inhomogeneous deformations. We show that these FEM results may be replicated in the MPM framework through the solution of a vertical chute

• Author : Chenfanfu Jiang
• Publisher : Unknown
• Release : 14 June 2021

Simulating fluids and solid materials undergoing large deformation remains an important and challenging problem in Computer Graphics. The dynamics of these materials usually involve dramatic topological changes and therefore require sophisticated numerical approaches to achieve sufficient accuracy and visual realism. This dissertation focuses on the Material Point Method (MPM) for simulating solids and fluids for use in computer animation, and it makes four major contributions: First, we introduce new MPM for simulating viscoelastic fluids, foams and sponges. Our second contribution

• Author : Anonim
• Publisher : Unknown
• Release : 14 June 2021

Correctly simulating the physics of solids and fluids is of great interest in computer graphics. A very popular method used is the Finite Element Method (FEM), however, the FEM is troublesome for large deformations or fracturing since the object needs to be remeshed periodically. Another popular option for simulation solids and fluids is to use purely particle methods such as Smoothed Particle Hydrodynamics (SPH), but the lack of connectivity between the particles presents a difficulty for calculating derivatives. Particle-In-Cell (PIC)

• Author : Xiong Zhang,Zhen Chen,Yan Liu
• Publisher : Academic Press
• Release : 04 November 2016

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

• Author : Alexander Maximilian Nilles
• Publisher : Unknown
• Release : 14 June 2021

• Author : Philip Alsop
• Publisher : Unknown
• Release : 14 June 2021

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

• Author : Ming Gao
• Publisher : Unknown
• Release : 14 June 2021

With a focus and concentration on the simulations of real-world phenomena and materials, physics-based animation has been established as an important research area in computer graphics. However, the focus has been slightly shifted from methods for simulating new phenomena to methods for simulating existing phenomena with higher-resolution and higher-efficiency. This thesis focuses on Sparse Paged Grid (SPGrid), a sparse data structure which leverages modern operating system and hardware for compact storage and efficient stream processing, as well as its applications

• Author : Anonim
• Publisher : Unknown
• Release : 14 June 2021

The theory and algorithm for the Material Point Method (MPM) are documented, with a detailed discussion on the treatments of boundary conditions and shock wave problems. A step-by-step solution scheme is written based on direct inspection of the two-dimensional MPM code currently used at the University of Missouri-Columbia (which is, in turn, a legacy of the University of New Mexico code). To test the completeness of the solution scheme and to demonstrate certain features of the MPM, a one-dimensional MPM

• Author : Qi Guo
• Publisher : Unknown
• Release : 14 June 2021

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