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
This course is based on the following three materials:
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 is updated 2025 01 13.
Implementation of a material model in the Abaqus. PDF file is given 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.
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.
Furthermore, I have copied to the students some pages from Chapter 2 and Appendices of the book Continuum Thermodynamics and Material Modelling to have in examination. Due to Copyright, I provide here only a document where I give the page numbers of the book.
Contents of daily lectures.
Here.
What to read for examination.
Here.
Detailed information on the allowed material in the examination.
Here.
1 Continuum Thermodynamics and Material Modelling. Two pages side by side.
Chapter 1, Chapter 2, Chapter3. Chapter 4, Chapter 5. Chapter 6. Chapter 7. Chapter 8. Chapter 9.
Chapter 10.
2 Continuum Thermodynamics and Material Modelling. One page in one view.
Chapter 1, Chapter 2, Chapter 3. Chapter 4, Chapter 5. Chapter 6. Chapter 7. Chapter 8. Chapter 9.
3 Extended Levenberg-Marquardt method for determination of Values for
Material parameters.
Two pages side by side. All here One page in one view. All here
4 Implementation of a material model in the Abaqus.
Two pages side by side. All here One page in one view. All here
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