Programplaner og emneplaner - Student
PENG9520 Finite Element Modelling and Simulation of Structures Course description
- Course name in Norwegian
- Finite Element Modelling and Simulation of Structures
- Study programme
-
PhD Programme in Engineering Science
- Weight
- 10.0 ECTS
- Year of study
- 2025/2026
- Programme description
- Course history
-
Introduction
Admission to the programme.
Recommended preliminary courses
ANEST6100 and MANES5100 overlap 100%.
Required preliminary courses
TThe course is based on MAPE1300 Mechanics, MATS2300 Construction Mechanics, MAFE1000 Mathematics 1000 and MAPE2000 Mathematics 2000.
Learning outcomes
Students who complete the course are expected to have the following learning outcomes, defined in terms of knowledge, skills and general competence:
Knowledge:
On successful completion of the course, the student:
- can interpret the philosophy behind principles, design and modelling considerations in using finite element methods (FEM) in analysis and design of structures.
- can describe the general steps used in FEM to model and solve complex nonlinear problems in structural analysis and design.
- has detailed knowledge of solution methods for nonlinear static problems, and some knowledge on solution methods for nonlinear dynamic problems.
- has detailed knowledge of nonlinear geometry and nonlinear material models (elastoplastic and others) and the applications of these models in structural analysis.
- can explore the complex issues in convergence of solutions using nonlinear FEM.
Skills:
On successful completion of the course, the student can:
- demonstrate the ability to use FEM to produce a reliable prediction of displacements and stresses in nonlinear structural problems of relevance to engineering practice.
- create and design complex engineering structures using finite element methods.
- develop expertise in the usage of commercial finite element software for both linear and nonlinear analysis of complex structures.
General competence:
On successful completion of the course, the student can:
- use advanced commercial FEM software.
- understand the importance of verification and validation in research and demonstrate the ability to make critical assessments
- communicate effectively through written reports.
Content
Introduction to the theoretical foundation for nonlinear finite element analysis of civil engineering structures. Classification of nonlinearities (geometrical, material and boundary conditions). Strain and stress measures for large displacements/deformations. Mathematical models for elastic and elastoplastic materials like reinforced concrete (RC), steel,etc. Geometrical stiffness and linearised buckling. Numerical integration of dynamically excited systems. Implicit/explicit time integration. Incremental-iterative solution methods for nonlinear static and dynamic problems. Modelling of nonlinear boundary conditions. The course will also expose students to recent trends and research areas in FEM.
Teaching and learning methods
Seminars, exercises, project assignment (scholarly work), scientific report and oral presentation.
Course requirements
Følgende hjelpemidler er tillatt:
- Kalkulator (se programplan for regler som gjelder bruk av kalkulator)
Assessment
A written in-depth assignment, written individually or in groups of up to three students. The assignment shall consist of a project outline for a piece of research or quality-related work based on a literature review, and it must be written in accordance with the section Assessment of written work in the Assessment chapter of the programme description.
Studenter som velger å lage en Systematisk oversikt (Systematic Review) i fordypningoppgaven (prosjektbeskrivelsen), og planlegger å bruke denne videre i masteroppgave, må være minimum 2 studenter som skriver oppgaven sammen, på grunn av metodekrav.
Five weeks are set aside for work on this assignment.
Up to four hours of supervision is provided per assignment. Students who fail the assignment are offered two more hours of supervision.
Scope: 5,000 words (+/- 20%).
The title of the assignment will be included in the transcript of grades.
Permitted exam materials and equipment
All aids are permitted, as long as the rules for source referencing are complied with.
Grading scale
Grade scale A-F. For group exams, all the students in the group are awarded the same grade. Students who are awarded a fail grade (F) are given one opportunity to submit a reworked version of the assignment.
Examiners
Bjørnar Larssen