Publication

Application of Material Point Method

2019
Student Projects

Abstract

The main goal of this project is by using MPM which is in continuum formulation to reproduce the wear mechanism in larger scale simulation which is performed in atomistic scale by Professor Jean-François Molinari. Then, having experience and getting information about the Material Point Method (MPM) which is used for computational fluid dynamics and solid dynamics based on weak formulation which is also case for Finite Element Method (FEM). Short information about methods, mathematical aspects and algorithm are provided in this report. Then, comparison of MPM and FEM is included in terms of advantages and points for both methods. MATLAB is the tool for first and second examples. The code that developed by Tsinghua University is implemented for second and third examples. At the end, conclusion about the MPM is presented.

Official source

https://infoscience.epfl.ch/entities/publication/57f5bacc-343d-469b-8683-ab5fa313f2b3

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2019
Student Projects

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/57f5bacc-343d-469b-8683-ab5fa313f2b3

About this result

Related concepts (32)

Fluid dynamics

In physics, physical chemistry and engineering, fluid dynamics is a subdiscipline of fluid mechanics that describes the flow of fluids—liquids and gases. It has several subdisciplines, including aerodynamics (the study of air and other gases in motion) and hydrodynamics (the study of liquids in motion). Fluid dynamics has a wide range of applications, including calculating forces and moments on aircraft, determining the mass flow rate of petroleum through pipelines, predicting weather patterns, understanding nebulae in interstellar space and modelling fission weapon detonation.

Computer simulation

Computer simulation is the process of mathematical modelling, performed on a computer, which is designed to predict the behaviour of, or the outcome of, a real-world or physical system. The reliability of some mathematical models can be determined by comparing their results to the real-world outcomes they aim to predict. Computer simulations have become a useful tool for the mathematical modeling of many natural systems in physics (computational physics), astrophysics, climatology, chemistry, biology and manufacturing, as well as human systems in economics, psychology, social science, health care and engineering.

Simulation

A simulation is the imitation of the operation of a real-world process or system over time. Simulations require the use of models; the model represents the key characteristics or behaviors of the selected system or process, whereas the simulation represents the evolution of the model over time. Often, computers are used to execute the simulation. Simulation is used in many contexts, such as simulation of technology for performance tuning or optimizing, safety engineering, testing, training, education, and video games.

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Application of Material Point Method

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