L.104.22270 Mechanics in Engineering, Material

Instructors: Prof. Dr. Rolf Mahnken M.Sc.

Event type: Lecture

Org-unit: Maschinenbau

Displayed in timetable as: TM4

Hours per week: 2

Language of instruction: German

Min. | Max. participants: - | -

Requirements and recommendations:
Basic knowledge in mathematics and mechanics 1,2

Aim of the event:
Structures of mechanical engineering very often are subjected to variable loading, which can lead to severe damage. The lecture deals with basics of strength of materials and operational stability, where the main focus is placed on calculation methods for fatigue strength and fatigue of material. Energy methods allow the treatment of statically determinate and statically indeterminate systems, which can be used as substitute system for constructions with variable loading conditions.

Many systems in mechanical engineering can not be treated as bar or beam but have to be treated as three-dimensional structures. Therefore, another main focus of the lecture is placed on the derivation of the basic equations of elasticity theory for three-dimensional structures (three dimensional stress and strain states, three dimensional elastic material law, kinematic field equations, static field equations).

Target group:
Students in mechanical engineering, industrial engineering, techno mathematics, physics and information science in engineering.

Contents:
1. Energy methods, application to statically indeterminate systems
2. Basic equations of elasticity theory (three dimensional stress and strain states, three dimensional elastic material law, kinematic field equations, static field equations)
3. Basic equations of solid mechanics (stress hypothesis, fracture and yield criteria)
4. Analytical solutions of elasticity theory (compatibility conditions, Airy stress function, derivation of stress concentration factors)
5. Stresses at notches (concentration factors, notches at variable loading conditions)
6. Life time prediction with the stress concept (Stress-Wöhler curve, Basquin relation, mean stress effects, Haigh-diagram)
7. Life time prediction with the strain concept (Strain-Wöhler curve, Coffin-Manson relation, mean stress effects)
8. Basics of fracture mechanics (K-concept, J-integral)
9. Basics of crystal plasticity
10. Basics of time-dependent material behaviour

Contact person:
Dipl.-Ing. Kim-Henning Sauerland

Literature:
Lecture script
Schnell/Gross/Hauger: Technische Mechanik 2, Springer-Verlag
Gross/Hauger/Wriggers: Technische Mechanik 4, Springer-Verlag
Further literature will be notified in the course, if necessary

Supplementary events:
FEM for Strength of Materials
Finite-Element-Method 1
Project Seminar Material Science