Finite Element Method, Advanced





Offered by

Mechanical Engineering




Knowledge about distribution of stresses and strains in solids as well as confidence performing calculations with matrices is required. Furthermore, good knowledge about the general finite element method is required. These topics are covered in the courses ME-MEC 2 and ME-FEM 1.

Main purpose

The main purpose of the course is to enable the student to solve nonlinear static problems and dynamic problems using the FE method and to give the student an overview of how a thermal analysis is performed using the FE method.


The student will gain knowledge about the FE method and its applications. He/she will gain an understanding of how the method works and will be able to solve simple problems analytically and using a commercial soft-ware.
The course will include the following topics:
* Static stress analysis using FE
* Element technology
* Validation of the FE model
* Error estimation
* Adaptive mesh generation
* Linearized buckling analysis
* Free vibration analysis
* Structural dynamic problems
* Nonlinear solution methods
* Large deformations analysis
* Nonlinear material modelling and analysis
* Contact analysis
* Problem solving with Ansys Workbench
* Introduction to Ansys Classic
* Introduction to heat transfer and coupled problems


The student will be able to:
* Solve linear static problems using Ansys APDL
* Perform dynamic FE calculations using Ansys Workbench and Ansys APDL
* Interpret the results from a dynamic analysis and understand what they imply
* Accommodate the FE method to deal with different types of nonlinearities
* Perform nonlinear FE calculations using Ansys Workbench and Ansys APDL
* Validate the results obtained from Ansys Workbench and Ansys APDL


Upon taking the course, the student will be able to judge about the possibilities in using commercial FE soft-ware in dynamic problems and in nonlinear static problems. The student will be able to validate his / her FEM models.



Teaching methods and study activities

The teacher will go over the course topics in the classroom, combining theory with exercises and blackboard teaching with PowerPoint presentations.
The student is expected to read the detailed literature and to solve compulsory assignments between les-sons.
3 lessons per week for 14 weeks. The workload for student is expected to be 138 hours.
Study activity model
Category 1, Initiated by the lecturer with the participation of lecturer and students: 32 hours – 23%
Category 2: Initiated by lecturer with participation of students: 79 hours – 57 %
Category 3: Initiated by students with participation of students: 27 hours – 20 %
Category 4: Initiated by students with the participation of lecturer and students: 0 hours – 0%


Cook, Robert D. [Et al]; Concepts and applications of finite element analysis; Latest edition; Wiley; ISBN 978-0471-35605-9




Requirements for attending examination:
Mandatory assignments handed in before deadline and accepted. Course assignment handed in before deadline

Type of examination:

Individual oral examination based upon a subject found by draw. Examination accounts for 100% of the final grade
Duration: 20 minutes
A laptop with Ansys installed is needed at the oral examination
Censor: Internal

Allowed tools:

As ordinary


Grading criteria

Additional information

The course assignments can be done in groups. All students in the group are responsible for all statements and assumptions given in the handed in assignments.


Paula Macias

Valid from

8/1/2019 12:00:00 AM

Course type

7. semester
Elective for Mechanical Engineering