English

If sufficient demand

The course objective is for the student to develop knowledge of the theoretical tools available to describe the mechanics and thermodynamics of different types of continua.

The course covers the following:
Tensor analysis;
Kinematics for deformable solids;
Strain and rate of deformation tensors;
Stress tensors,
Conservation of mass and balance of mechanical energy;
Hyperelastic materials;
Thermodynamics;
Variational principles – linearization; and
Finite element implementations

demonstrate the ability to describe the kinematics for deformation of solids and apply different strain and stress measurements; and
demonstrate the ability to describe the fundamental principles for thermodynamics for deformable solids,

demonstrate the ability to apply tensor expressions;
demonstrate the ability to solve boundary value problems within finite and infinitesimal elasticity and apply mechanical principles to solve mechanical problems;
demonstrate the ability to formulate physically reasonable constitutive laws for elastic solids;
demonstrate the ability to describe the physical and thermodynamic assumptions behind constitutive laws;
demonstrate the ability to evaluate the physical and thermodynamic validity of constitutive laws for deformable elastic solids; and
be able to apply large deformation theories in modelling of materials and structures.

be able to critically engage with the content in literature, technical documentations, and real technical solutions to mechanical problems.

Lectures

Project

Lectures covering the various topics, approximately 12 in total, along with individual studies. In addition to lectures, there will be two assignments and one project. The assignments will be presented at the beginning and middle of the course, and the project will be presented at the end of the course. The project will be summarized in a brief report, and the assignments will be presented through submitted code. The exam is divided into three parts, with assessment in the form of presented tasks. The assignments and the project work are presented individually.

Written exam

Written assignments

Requirements for pass (G): Passed written exams (8 credits) and passed assignments (4 credits).

Failed, pass

Basic courses in Mechanics, linear algebra and analysis.

Basic courses in solid mechanics and numerical methods

No limitation in the number of students.

Holzapfel, G.: Nonlinear Solid Mechanics – A continuum Approach for Engineering,. John Wily & Sons, Ltd, 2000. ISBN 9780471823193.

The course is only given if more than 5 students plan to follow it

FHL020F

2023-10-10

Gudbjörg Erlingsdottir