CHALMERS - Applied Mechanics
The course is given for the Master's Programmes Applied Mechanics (MPAME), Advanced Engineering Materials (MPAEM) and Naval Architecture (MPNAV)
The re-exam will take place on saturday August 28 in the M-building (in the morning). The re-exam will look the same as the ordinary exam.
The aim of the course is to give the student specialist knowledge of fatigue failures and how to design and analyse structures ( for example machine elements and welded structures) subjected to fatigue loading.
The course covers three approaches for the fatigue
design of structures and components: the stress based approach based on the nominal
(average) stress in the affected region of the engineering component. The
nominal stress that can be resisted under cyclic loading is determined
considering mean stresses and adjusted for effects of stress raisers, the
strain based approach which involves a more detailed analysis of localized
yielding at stress raisers during cyclic loading and the fracture mechanics approach where the growth of
cracks is analyzed using fracture mechanics. The limitations of using linear
fracture mechanics (LEFM) in this approach is discussed. The understanding of fatigue crack initiation is supported by
relevant scientific information from micromechanics of materials.
Particular emphasis is put on fatigue damage accumulation under irregular load
histories the using the Palmgren-Miner rule (including a discussion of the accuracy of
using this rule) and on the initiation of fatigue cracks under multi-axial
loads
The student should have basic knowledge in Solid Mechanics (Strength of Materials) and Mathematics. Knowledge in Continuum mechanics is preferable but not necessary.
Dowling, N.E. (2006).
Mechanical Behavior of Materials, third edition.
Prentice
Hall, Upper Saddle River, NJ, USA, 912 pp.
Can
be bought at Cremona, SEK 539.
Fatigue design (MMA 115) - Course
material on multiaxial fatigue.
Can be bought at
Cremona, SEK 31.
There are four compulsory assignments in the
course, which aim at exemplifying the theory parts studied. The assignments may
be solved in groups of two students, but all
students must hand in individually written reports. A written
report for each assignment must be submitted before the final written exam May
25!
Stress based
approach - Fatigue analysis of a bar in a hydraulic equipment
Responsible
teacher: LJ
Supervisor: LJ, JS
Available
2010-03-17. Time to finish and hand over to
supervisor: 2010-03-26
Fatigue crack
propagation and fracture
Responsible teacher:
AE
Supervisor: LJ, JS
Available 2010-03-21. Time to finish and hand over to
supervisor: 2010-04-16
Strain
based approach and rain flow count
Responsible teacher:
LJ
Supervisor: LJ, JS
Available 2010-04-21. Time to finish and hand over to
supervisor: 2010-05-07
Multiaxial
fatigue
Responsible teacher: AE
Supervisor:
LJ, JS
Available 2010-05-05. Time to finish and hand over to
supervisor: 2010-05-23
The written examination takes place in the afternoon on May 24, 2010.
The examination consists of two parts:
one theoretical part with essay questions, and
one applied part with problems.
The theoretical part is to be solved without any aids, while for the applied part Dowling's book, the course material on multi-axial fatigue and the extract from the SSAB Sheet Steel Handbook may be used.
Examples that have been solved during the course are not allowed for use during the examination.
A passed written examination + passed assignments gives 7.5 (five) credit points (hec).
There are no lectures/assignments on April 30 and May 14. The lectures will be held in EB and EC at Hörsalsvägen 11, and the exercises at MT0 and MT9 in the basement at Hörsalsvägen 7 (same entrance as ML2-8), see map at http://www.chalmers.se/HyperText/Kartor.html. You can download the course outline as a pdf-file here.
There will be one course evaluation halfway through the course, a meeting with student representatives, and a final course evaluation to be responded on-line.
Lecture times:
|
Mondays |
0800 - 1145 |
In lecture room EB |
| Wednesdays | 1315 - 1500 | In lecture room EC |
|
Wednesdays |
1515 - 1700 |
In computer rooms MT0 and MT9 |
| Fridays |
1315 - 1500 |
In lecture room EB (no lecture week 20)
|
Outline
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Chapter 8: |
8.1, 8.7, 8.8, 8.9, 8.33, 8.44 |
Assignments, see above under Compulsory assigments
Videomaterial from the lectures on multi-axial fatigue can be viewed from the directory Fatigue at (you need Quicktime to view these videos): www.charmec.chalmers.se/temp/fatigue/
Guidelines to write assignment reports: Guidereport
Hand-out for the study visit at SP in Borås: SP-Fatigue testing
Anders Ekberg; Fracture mechanics OH:s: OH:s Fracture mechanics
Anders Ekberg Multiaxial fatigue OH:s:: OH:s Multiaxial fatigue
Extract on Fatigue design of welds: SSAB: Sheet Steel Handbook, Ch 4.6
Lecture 12: Multi-axial fatigue: stress plot: Multi-axial fatigue, Stress plot
Assignment 4: Matlab code for Dang Van stress (1): MatLab Skeleton DangVan Stress
Assignment 4: Matlab code for Dang Van stress (2): MatLab Skeleton J2
Assignment 4: Matlab code for Dang Van stress (3): MatLab Skeleton Stressmaker
Assignment 4: Matlab code for Dang Van stress (4): MatLab Skeleton s5tosdev
Assignment 4: Matlab code for Dang Van stress (5): MatLab Skeleton sdevtos5
Additional exercise, Scatter in S-N curve (Ch 9.6.6): Additional exercises, S-N-curve
Additional exercises, Design of welds: Additional exercises, Design of welds
Additional exercises, Problem solving 2010-05-17: Additional exercises, problems2
Input data file for Assignment 3 containing strain history: www.charmec.chalmers.se/temp/fatigue/
Results from the exam 2010-05-24 (identification = the anomymous code number given at the exam): www.m4fatiguedesign10examresults
Old written examinations:
Lennart Josefson, 2010-08-30
