Nonlinear FEM for Materials and Structures
Unit code: HES6129
| Credit points | 12.5 Credit Points |
| Duration | 1 Semester |
| Contact hours | 36 hours |
| Campus | Hawthorn |
| Prerequisites | Nil |
| Corequisites | Nil |
Related course(s)
This unit will not be offered from Semester 2, 2013 onwards, until further notice.
A unit of study in the;
Aims and objectives
The aim of this unit is to provide students with the fundamental understanding on continuum mechanics and its connection to nonlinear finite element method.
Upon the successful completion of the unit, students will be able to;
- Understand continuum mechanics and nonlinearities
- Understand nonlinear finite element method
- Describe how to prepare the material input data for finite element modelling though material characterization
- Select an appropriate material, element, and contact methods
- Apply the finite element method for general structural and manufacturing problems
- Develop the result from finite element simulation
Teaching methods
Lecture (24 hours)
Tutorials (12 Hours)
3 hours contact per week
Classroom based with online Blackboard support
Generic skills outcomes
- Analysis and modeling skills
- Problem solving skills
- Communications skills
- Teamwork skills
- Ability to work independently
Content
- Continuum mechanics including vector and tensor, strain and stress measures, variational formula, coordinate system
- Nonlinearities of materials, geometry, and contact
- Nonlinear finite element equations and solution methods
- Element modelling including continuum, shell, beam, and truss elements
- Plasticity and large deformation theories
- Material and constitutive modelling for metals and soils
- Contact with friction
- Nonlinear dynamics and stability
- Various tutorials with a commercial nonlinear FE Software of MSC.Marc for general purpose applications
Reading materials
T. Belytschko, W.K. Lui, B. Moran, 2011, Nonlinear finite elements for continua and structures (ISBN:0471988743)
P. Wriggers, 2008. Nonlinear finite element methods, Springer (ISBN: 3540710000)
J Bonet, R.D. Wood, 2008, Nonlinear conitnuum mechanics for finite element analysis, Cambridge University Press, (ISBN: 0521838703)
D. Chapelle and K.J. Bathe, The Finite Element Analysis of Shells: Fundametals, 2nd ed. Berlin; New York: Springer (ISBN: 978-3642-164071)
M. Kojic and K.J. Bathe, 2005. Ineastic Analysis of Solids and Structures, Berlin: Springer (ISBN: 978-0-471-95649-5)
K.J. Bathe, 1996. Finite Element Procedures, Prentice Hall (ISBN: 987-0133014587)
M.A. Crisfield, 1997. Non-linear FEA of Solids and Structures, Wiley (ISBN: 987-0-471-95649-5)
