KKKM 6023
Engineering
Computational Methods
Synopsis
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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
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] 
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]
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 ]
BEM advances research
[1D BEM] [acoustics BEM] [adaptive BEM]
[biomed bem apps] [CASA-BEM2] [Helmholtz BEM]
[inverse problem] [matlab 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
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
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
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Copyright © 2016 kamal updated 6 September 2016 |