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Lecturing material for courses

Continuum Thermodynamics and Material Modelling


Basic laws and axioms of continuum thermodynamics.


This web-page gives supporting material for the teacher for two different courses. The first course is based on our book Continuum Thermodynamics and Material Modelling whereas the second one extends the course of material modelling by studying the determination of the values of the material paramneters with the extended Levenberg-Marquardt method and gives guidelines for the implementation of the material into the Abaqus finite element method code.

The course material for these two courses can be described as follows:

Course 1

Continuum Thermodynamics and Material Modelling. Book by the Cambridge University Press.
Lecturing material is in the course 2.

Course 2

Continuum Thermodynamics and Material Modelling. Book by the Cambridge University Press.
Extended Levenberg-Marquardt Method for Determination of Values for Material Parameters. PDF file given here. This booklet will be updated before the end of August 2024. 

Implementation of a material model in the Abaqus. PDF file is given here.

Lecturing material for the book Continuum Thermodynamics and Material Modelling.
Two pages side by side.
Cambridge University Press may offer this material on their web pages. More information should be available before August 20. Unfortunately, the Cambridge University Press (CUP) representative has been very busy and did not have time for this project. They are now on vacation and will return by the end of August. For those persons who have taught to take our book and start their course in September I have downloaded the lecturing material in PDF format for chapters 1, 2 and 3. More will be available later.  Chapter 1, Chapter 2, Chapter3. Chapter 4, Chapter 5. I will provide more information not later than September 22.

One page in one view. Cambridge University Press may offer this material on their web pages. More information should be available before August 20. Unfortunately, the Cambridge University Press (CUP) representative has been very busy and did not have time for this project. They are now on vacation and will return by the end of August. For those persons who have taught to take our book and start their course in September I have downloaded the lecturing material in PDF format for chapters 1, 2 and 3. More will be available later. Chapter 1, Chapter 2, Chapter 3. Chapter 4, Chapter 5. I will provide more information not later than September 22.

The original Corel WordPerfect 2021 files. Cambridge University Press may offer this material on their web pages. More information should be available before August 20.

Lecturing material for the booklet ExtendedLevenberg-Marquardt Method for Determination of Values for Material Parameters.
Two pages side by side is here. One page in one view is here.

Lecturing material for the material Implementation of a material model in the Abaqus.
Two pages side by side is here. One page in one view is here.

I (Kari Santaoja) have lectured this course several times during the last 25 years. It has been based on the same set of the material which is mentioned above. However, the book Lecture Notes on Continuum Thermodynamics, which is the predecessor of the above-mentioned book Continuum Thermodynamics and Material Modelling, had 27 Chapters instead of the 11 ones in the current book. I had 12 lectures each of them having 2 x 45 minutes of lecturing. I have converted the contents of my lectures based on the previous book to follow the new Chapter, Section and page numbering of the new book and offer them to the lectures. Cambridge University Press may offer this material on their web pages. More information should be available before August 20. Due to the delay with the Cambridge University Press I give the contents of the daily lectures here.

Besides the lectures in my courses there were 5 rounds of homework assignments, which are now as problems at the end of chapters in the book Continuum Thermodynamics and Material Modelling.

Since the material and therefore the course is extensive, I have provided to my students a document What to read for examination to help them to concentrate on the most important parts of the course material. The document What to read for examination is here. I will publish it before the end of August 2024.

Books associated with these two courses

Published by the Cambridge University Press.

The original text in the PDF format can be copied from here.

Contact information

If you have any comments, suggestions or questions, please send a message to 

kari.santaoja@alumni.aalto.fi