Credits: 5

Schedule: 09.01.2019 - 21.02.2019

Teacher in charge (valid 01.08.2018-31.07.2020): 

Kari Santaoja

Teaching Period (valid 01.08.2018-31.07.2020): 


Learning Outcomes (valid 01.08.2018-31.07.2020): 

On this course, participants learn to read publications written in
tensor notations. By the end the course, the student will be able produce his
or her own text in tensor notations. Students will be familiar with the laws of
nature of continuum mechanics and the general principles derived from these.
The students will understand how continuum thermodynamics extends the view of
continuum mechanics to cover material models. During the course, student will
study how to test material models by the theory of internal variables. Upon
completing the course, the student will be able to use the Levenberg-Marquardt
method in determining the values of the material parameters from the
experimental data. He or she will also understand the foundations of mechanics
of materials, be able to implement a material model in the Abaqus finite
element program, and be capable of determining the values of the material

Content (valid 01.08.2018-31.07.2020): 

The beginning of the course covers the application of tensor notation
and the derivation of tensor equations. The basic laws and axioms of continuum
mechanics and of continuum thermodynamics are evaluated. The local forms of these
basic laws and axioms are derived from their global forms. Description of the
material models by continuum thermodynamics is practised with several
constitutive equations. The Levenberg-Marquardt method is used for determining
the values of material parameters from the experimental data. At the end of the
course the implementation of material models in the Abaqus program is examined
with the use of examples.

Assessment Methods and Criteria (valid 01.08.2018-31.07.2020): 

Weekly homework assignments and examination.

Workload (valid 01.08.2018-31.07.2020): 

Lectures 36 h / 30 %

Independent work 84 h / 70 %

Study Material (valid 01.08.2018-31.07.2020): 

Santaoja, Kari. Lecture Notes on Continuum Thermodynamics, Taras

Santaoja, Kari. Determination of the Values of the Material Parameters
by Extended Levenberg-Marquardt Method, Sasata

Santaoja, Kari. Implementation of material models in the Abaqus UMAT and
VUMAT subroutines.

Solutions for the home assignments will be delivered to the students.

Substitutes for Courses (valid 01.08.2018-31.07.2020): 

Kul-49.4501 Continuum Mechanics and Material Modelling P

Prerequisites (valid 01.08.2018-31.07.2020): 

Good knowledge of material mechanics, mechanics, structural mechanics or thermodynamics. The course material covers all the information needed to pass the course. Therefore, a some previous knowledge of the topics mentioned above is adequate for passing this course with excellent marks.

Grading Scale (valid 01.08.2018-31.07.2020): 

0 - 5

Registration for Courses (valid 01.08.2018-31.07.2020): 



Registration and further information