# TKT4135 - Materials Mechanics

### Examination arrangement

Examination arrangement: Aggregate score

Evaluation Weighting Duration Grade deviation Examination aids
Project assignment 20/100
School exam 80/100 4 hours D

### Course content

Stresses and strains. Elasticity and thermoelasticity. Anisotropy and symmetry planes. Linear viscoelasticity. Plasticity and viscoplasticity (yield criteria, flow law, hardening, effects of strain rate and temperature). Finite element method for nonlinear materials.

### Learning outcome

Materials mechanics is an advanced course in solid mechanics for students who have chosen a major in structural engineering or industrial mechanics at MTBYGG, MTING and MTPROD. The course covers theories of elastic, viscoelastic, elasto-plastic, elasto-viscoplastic materials and provides an introduction to non-linear finite element methods.

Materials mechanics has the following learning objectives:

Knowledge: The candidate should have knowledge of:

- Continuum mechanics for small deformations

- Linear elasticity theory for isotropic and anisotropic materials

- Linear viscoelasticity

- Plasticity (yield criteria, flow laws and hardening rules)

- Viscoplasticity

- Non-linear finite element methods for small deformations

Skills: The candidate knows how to:

- Select the mathematical model to describe the behaviour of a material

- Determine the parameters of mathematical models for materials from laboratory experiments

- Perform element analysis of components and structures with non-linear material behaviour

General competence: The candidate knows:

- Mathematical modelling of materials

- Parameter identification from laboratory experiments

- Non-linear finite element methods for small deformations.

Digital competence: Students will acquire practical competence in finite element modelling using Abaqus Standard, in particular modelling metal plasticity for engineering applications. Additionally, students are asked to write and run simple Python scripts in some of the homework assignments and in the project, essentially curve fitting, plotting, definition of simple functions, and loops.

Sustainability competence: The course serves to give students appropriate skills to choose the right material for the right application, and to optimize material resources.

### Learning methods and activities

Lectures and compulsory exercises. 2/3 of the exercises must be approved to get access to the exam. The lectures and exercises are in English when students who do not speak Norwegian take the course. If the teaching is given in English the Examination papers will be given in English only. Students are free to choose Norwegian or English for written assessments.

• Exercises

### Further on evaluation

If there is a re-sit examination, the examination form may be changed from written to oral.

### Course materials

Lecture notes. Additional literature: F. Irgens: Continuum Mechanics, Springer, 2008. R.D. Cook, D.S. Malkus, M.E. Plesha, R.J. Witt: Concepts and Application of Finite Element Analysis, 4th ed, Wiley, 2002 (Chapter 17).

### Credit reductions

Course code Reduction From To
SIO1046 7.5
More on the course

No

Facts

Version: 1
Credits:  7.5 SP
Study level: Second degree level

Coursework

Term no.: 1
Teaching semester:  SPRING 2025

Language of instruction: English

Location: Trondheim

Subject area(s)
• Mechanics
• Technological subjects
Contact information
Course coordinator: Lecturer(s):

Department of Structural Engineering

# Examination

#### Examination arrangement: Aggregate score

Term Status code Evaluation Weighting Examination aids Date Time Examination system
Spring ORD School exam 80/100
Spring ORD Project assignment 20/100
Summer UTS School exam 80/100
• * The location (room) for a written examination is published 3 days before examination date. If more than one room is listed, you will find your room at Studentweb.
Examination

For more information regarding registration for examination and examination procedures, see "Innsida - Exams"

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