Numerical methods and techniques for solving initial boundary value problems in solid mechanics (heat conduction, static and dynamic mechanics problems of solids and structures). Finite difference methods, indirect and direct techniques, variational methods, finite element (FE) method, FE analysis in small strains for applications in structural mechanics and solid mechanics.
Learning objective
To understand the concepts and application of numerical techniques for the solution of initial boundary value problems in solid and structural mechanics, particularly including the finite element method for static and dynamic problems.
Content
1. Introduction, direct and indirect numerical methods. 2. Finite differences, stability analysis. 3. Variational methods. 4. Finite element method. 5. Structural elements (bars and beams). 6. 2D and 3D solid elements (isoparametric and simplicial elements), numerical quadrature. 7. Assembly, solvers, finite element technology. 8. Dynamics, vibrations. 9. Selected topics in finite element analysis.
Lecture notes
Lecture notes will be provided. Students are strongly encouraged to take their own notes during class.
Literature
No textbook required; relevant reference material will be suggested.
Prerequisites / Notice
Mechanics 1 & 2 and Dynamics.
Performance assessment
Performance assessment information (valid until the course unit is held again)
The performance assessment is offered every session. Repetition possible without re-enrolling for the course unit.
Mode of examination
written 90 minutes
Additional information on mode of examination
The written final exam (taking place during the examination session) covers all contents of this course, including lectures, exercises, and programming assignments. It counts 50% towards the final grade.
Additionally, there will be a compulsory continuous performance assessment in the form of a programming assignment that is broken down into five projects to be discussed and assigned during the course of the semester. Out of the five projects, at least four must be submitted two weeks after assignment. The best four submitted projects count 50% towards the final grade (12.5% each). These programming projects, which are integrated with the lectures and exercises, require the student to understand and apply the course material, and it involves programming in Matlab.
Written aids
Four hand-written pages of notes/formula sheets are allowed during the exam (i.e., four single-sided or two double-sided sheets of paper); no further materials are allowed.
This information can be updated until the beginning of the semester; information on the examination timetable is binding.
Learning materials
No public learning materials available.
Only public learning materials are listed.
Groups
No information on groups available.
Restrictions
There are no additional restrictions for the registration.
Performance assessment as a semester course