KKKM 6023

Engineering Computational Methods

 

Synopsis

The course aims to provide knowledge, understanding and ability for students to analyze problems using the finite element method. This course covers topics such as fundamental theory in finite element methods, variational methods, 1, 2 and 3 dimensional problems, linear and non-linear concepts, method of solution, mesh and adaptive mesh, error estimations, analysis and error estimation, fundamental of finite volume methods, problems of diffusion, advection-difusion and transient, basic theory of finite boundary methods, Laplace, Poisson, and wave equations. Introduction to discrete element method, meshless, x-FEM, molecular dynamics, artificial intelligent and the latest technology in space, time and multiscale computational methods. This course combines theory and practice of computational engineering method for solving engineering problems. At the end of the course, a project will be given to students using to solve using some software.

 

 

Pre-Requirements

 

Computational Methods

Finite Element Methods

 

References

Brebbia C.A, Dominguez J, 1992, The Boundary Element Method in Engineering: A Complete Course, Mcgraw-Hill

Chandrupatla, T.R. & Belegundu, A.D., 2012, Introduction to Finite Elements in Engineering, 4rd Edition, Prentice Hall International.

Zienkiewicz, O.C. & Taylor, R.L. The Finite Element Methods, Volume I (2005) & II (1991) 6th Edition. Mc Graw Hill, New York.

Versteeg, H.K. & Malalasekera, W. 2007. An Introduction to Computational Fluid Dynamics: The Finite Volume Method. 2nd ed. Prentice Hall.

Munjiza, A., 2004, The Combined Finite-Discrete Element Method, 1st edition. John Wiley.

 

 

 

Timetable [download] 0006.gif

 

 

I [note1.pdf] [excercises] [simpleFEM] [Fem1D.xls] [modified Fem1D.xlsx] [input]

please make sure practise the exercise especially students who have no basic numerical methods in their undergraduate.

 

II [note2.pdf] [galvapole] [Chapter 2, Chapter 3]

[engine mounting] [rubber] [CST.xls][COMSOL] [Frame3D.xls] [note3.pdf]

 

III [Analysis and error estimation]

 

VI [Boundary Element Methods]

 

IX [Latest Computational Methods]

 

XII [Molecular Dynamics and Artificial Intelligent]

 

[photo] 0006.gif

 

 

Boundary Element Methods

 

 

Introduction

[introduction] [basic]

 

[History of BEM] [Principles BEM]

[beginner bem chap1a5] [note BEM] [FEMBEM NOTES]

 

 

Important Link

[http://www.iam.uni-stuttgart.de/bem/index.htm ]

[http://www.ntu.edu.sg/home/mwtang/bem2011.html ]

[http://www.ntu.edu.sg/home/mwtang/links.html ]

 

[http://www.boundaryelements.com/index.php ]

[http://www.integratedsoft.com/technology/BEM.aspx ]

 

[http://www.wessex.ac.uk/ ]

 

 

BEM advances research

[1D BEM] [acoustics BEM] [adaptive BEM]

[biomed bem apps] [CASA-BEM2] [Helmholtz BEM]

[inverse problem] [matlab BEM]

[thesis BEM]

 

 

BEM research in UKM

[Engineering Analysis with Boundary Elements 2010]

[FEOFS 2010 #1] [FEOFS 2010 #2] [FEOFS 2010 #3]

[AIWEST 2010] [SNTTM 2010] [NAE 2009]

 

 

BEM society

BEASY software

 

 

 

Probabilistic structural mechanics

 

[note] [excel programme]

 

Project: Base on example in excel programme, select you own problem complete with formula solve using monte carlo simulation.

 

 

Fuzzy Finite Element Analysis

 

[note] [excel programme]

 

 

Stochastic Finite Element Analysis

 

[excel programme]

 

 

 

Partial Differential Equations

 

[main note] [excel programme] [supplement note]

 

Project: Repeat example 7.4 and performed the sensitivity study.

 

 

Discrete Element Methods

 

Definition

http://en.wikipedia.org/wiki/Discrete_element_method

 

Important Link

http://www.imechanica.org/node/6802

http://wn.com/discrete_element_method

 

Applications

The DEM to Simulate Fruit Impact Damage during Transport and Handling [PDF]

Usage of DEM in Conveyor Technologies [PDF]

Update on the DEM in Engineering Education [PDF]

 

DEM research in UKM

[paper] [ppt]

 

Software

http://www.rockfield.co.uk/elfen.htm

http://www.rocktech.com.au/computational-modelling/discrete-element-methods

 

 

 

Meshfree

 

Definition

http://en.wikipedia.org/wiki/Meshfree_methods

 

Overview

Introduction to Meshfree Methods [PDF]

Towards an efficient meshless computational technique [PDF]

 

Important Link

http://imechanica.org/node/3318

 

Applications

Meshless in solid mechanics [PDF]

Meshless Finite Element Methods [PDF]

Couple Meshfree and Finite Element Methods [PDF]

 

 

 

X-FEM

 

Definition

http://en.wikipedia.org/wiki/Extended_finite_element_method

 

Important Link

http://www.xfem.rwth-aachen.de/

http://imechanica.org/node/597

 

Advances in x-fem research

The 2nd International Conference on the EXtended Finite Element Method [PDF]

An XFEM method for modelling geometrically elaborate crack propagation in brittle materials [PDF]

 

x-fem research in UKM

[paper 1] [paper 2] [ppt]

 

software

 

 

Molecular Dynamics

 

Introduction

http://en.wikipedia.org/wiki/Molecular_dynamics

Introduction to Molecular Dynamics Simulation [PDF]

 

Important Link

http://www.ch.embnet.org/MD_tutorial/pages/MD.Part1.html

 

Advances in molecular dynamics research

Combined molecular dynamics and finite element method [PDF]

molecular dynamics and x-fem [PDF]

Hybrid finite-element-molecular-dynamics-electronic-density-functional approach to materials simulations [PDF]

 

software

 

 

Peridynamics

 

Introduction

http://www.ukm.my/kamal3/ecm/pd

 

 

Copyright 2016 kamal

updated 6 September 2016


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