4MB10 - Material models
Content
Materials and their properties are at the core of engineering design.In many circumstances, materials behave linearly elastic, e.g. the deflection is linearly proportional to the applied force. However, at certain loads and other conditions almost all materials exhibit material response deviating from the linear elastic.
This course will discuss different types of mechanical material behavior and present the corresponding material models.In particular, the following material models will be considered: linear and non-linear elastic, elasto-plastic, visco-elastic, and quasi-brittle damage.
Equations describing these material models will be presented and material response under different loading sequences will be addressed. Numerical techniques for the evaluation of non-linear and/or time-dependent material response will be introduced and translated into a computer program.
The course will provide insights, understanding and knowledge necessary for application of various material models in engineering practice.
Objectives
After succesfully completing this cours, the student is able to:
- distinguish and qualitatively describe different types of material behaviour (linear and non-linear elastic, elasto-plastic, visco-elastic, quasi-brittle damage)
- write down and explain the equations of the following material models for a 1D rod: linear elastic, elasto-plastic, visco-elastic, quasi-brittle damage, hyper-elastic
- derive analytical expressions and draw a diagram showing the behaviour of a 1D rod, or a simple assembly of several rods, (for a given material model and loading sequence)
- explain the algorithm and write a computer program to evaluate time-dependent material behaviour given by the Boltzmann integral
- explain the algorithm and write a computer program to solve non-linear equations using Newton-Raphson method, and use this program to numerically model non-linear material behaviour.
Contact