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.
Lernziel
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.
Inhalt
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.
Skript
Lecture notes will be provided. Students are strongly encouraged to take their own notes during class.
Literatur
No textbook required; relevant reference material will be suggested.
Voraussetzungen / Besonderes
Mechanics 1 & 2 and Dynamics.
Leistungskontrolle
Information zur Leistungskontrolle (gültig bis die Lerneinheit neu gelesen wird)
Die Leistungskontrolle wird in jeder Session angeboten. Die Repetition ist ohne erneute Belegung der Lerneinheit möglich.
Prüfungsmodus
schriftlich 90 Minuten
Zusatzinformation zum Prüfungsmodus
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.
Hilfsmittel schriftlich
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.
Diese Angaben können noch zu Semesterbeginn aktualisiert werden; verbindlich sind die Angaben auf dem Prüfungsplan.
Lernmaterialien
Keine öffentlichen Lernmaterialien verfügbar.
Es werden nur die öffentlichen Lernmaterialien aufgeführt.
Gruppen
Keine Informationen zu Gruppen vorhanden.
Einschränkungen
Keine zusätzlichen Belegungseinschränkungen vorhanden.
Leistungskontrolle als Semesterkurs