General information
-
Academic year:
- 2024
-
Description:
- The course describes the different theoretical frames, and the tools (analytical or numerical) for each of them, to predict the failure of materials.
Introduction to fracture mechanics. Linear-elastic fracture mechanics. Stress singularities. Energy available for the fracture. R-curve. Stress intensity factor. Experimental methods in LEFM. Numerical methods in LEFM. Elasto-plastic fracture mechanics. J-integral. Experimental methods in EPFM. Fracture of quasi-fragile materials. Cohesive zone models. Dynamic fracture and impact. Fatigue
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Academic credits:
- 6
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Course coordinator:
- Joan Andreu Mayugo Majó
Groups
Group
A
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Duration:
- One-semester, 1st semester
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Teaching staff:
- Josep Costa Balanzat
/ Daniel Trias Mansilla
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Language of the classes:
- English (100%)
Competences
- CB05 Posseir les habilitats d'aprenentatge que permetin continuar estudiant d'una manera autodirigida o autònoma
- CT04 Treballar en equip
- CE03 Resoldre problemes i projectes complexos associats a l'ús de nous materials i noves tecnologies estructurals en contextos amplis i multidisciplinaris
- CE05 Seleccionar i aplicar tècniques experimentals per a l'obtenció de paràmetres associats al comportament estructural interpretant i integrant de manera crítica els resultats obtinguts.
Other competences
- Utilitzar les metodologies adequades per tenir en compte la fractura en el disseny mecànic, segons el comportament del material.
Syllabus
1. Introduction to Fracture Mechanics
1.1. Cracks & defects
1.2. Stress singularities
1.3. Extension of the damage, softening and plastic zone
1.4. FEM with singularities
2. Energy Methods in Fracture Mechanics
2.1. Energy Release Rate
2.2. Toughness
2.3. R-curve
2.4. Computational Methods based on the Energy Approach
3. Linear Elastic Fracture Mechanics (LEFM)
3.1. Stress Intensity Factor
3.2. Mode Mixity
3.3. Experimental Methods in LEFM
3.4. Computational Methods to determine the Stress Intensity Factor
4. Elastoplastic Fracture Mechanics (EPFM)
4.1. Crack Tip Opening Displacement (CTOD)
4.2. J-integral
4.3. Computational Methods for EPFM (J-integral)
5. Fracture in Quasi-Brittle Materials
5.1. Cohesive zone models
5.2. Cohesive Elements in FEM
6. Dynamic Fracture & Impact
7. Fatigue
Activities
|
Activity type
|
Hours with a teacher
|
Hours without a teacher
|
Virtual hours with a teacher
|
Total
|
| Analysis / case study |
2,00 |
10,00 |
0
|
12,00 |
| Assessment test |
2,00 |
0
|
0
|
2,00 |
| Solution of exercises |
10,00 |
14,00 |
0
|
24,00 |
| Participatory class |
13,00 |
26,00 |
13,00 |
52,00 |
| Hands-on class |
6,00 |
10,00 |
0
|
16,00 |
| Simulations |
14,00 |
30,00 |
0
|
44,00 |
|
Total
|
47,00 |
90,00 |
13,00 |
150 |
Bibliography
- Anderson, T. L (2005 ). Fracture mechanics : fundamentals and applications (3rd ed.). Boca Raton, FL: Taylor & Francis/CRC Press. Catàleg
- Elices Calafat, Manuel ([1998] ). Mecánica de la fractura : aplicada a sólidos elásticos bidimensionales ([6ª ed.]). Madrid: Universidad Politécnica de Madrid. Catàleg
- Broek, David (1986 ). Elementary engineering fracture mechanics (4th rev. ed). Dordrecht: Kluwer Academic Publishers. Catàleg
- Gdoutos, E. E. Pilakoutas, K. Rodopoulos, C. A. (cop. 2000 ). Failure analysis of industrial composite materials . New York, (etc.): McGraw-Hill. Catàleg
- Gdoutos, E. E (cop. 2005 ). Fracture mechanics : an introduction (2nd ed.). Dordrecth [etc.]: Springer. Catàleg
- Gdoutos, E. E (cop. 1990 ). Fracture mechanics criteria and applications . Dordrecth [etc.]: Kluwer Academic. Catàleg
- Alcalá Cabrelles, Jorge Anglada, Marc (2002 ). Fractura de materiales. Barcelona: Edicions UPC. Recuperat 19-07-2012, a http://biblioteca.udg.es/biblioteca_digital/le/edicions_upc/llibre.asp?codi=EM036XXX Catàleg
- Kanninen, Melvin F (1985 ). Advanced fracture mechanics . Oxford: Clarendon. Catàleg
- Suresh, Subra (1998 ). Fatigue of materials (2nd ed.). Cambridge: Press Syndicate of the University of Cambridge. Catàleg
- Bazant, Zdenek P (cop. 1998 ). Fracture and size effect : in concrete and other quasibrittle materials . Boca Raton: CRC PRess. Catàleg
- Sun, C. T (2012). Fracture mechanics. Waltham, MA: Academic Press, a http://www.sciencedirect.com/science/book/9780123850010 Catàleg
- Kumar, Shailendra (2011). Concrete fracture models and applications. Berlin, Heidelberg: Springer Berlin Heidelberg. Catàleg
- Kariahaloo, Blushan L (1995). Fracture mechanics and structural concrete. New York: J WIley. Catàleg
- Sun, C. T (2012). Fracture mechanics. Waltham, MA: Academic Press, a http://www.sciencedirect.com/science/book/9780123850010 Catàleg
Assessment and Grading
Assessment activities:
|
Description of the activity
|
Assessment Activity
|
% |
Remediable subject
|
| Computational Practices - Simulations |
Correctness of the simulations performed: pre-processing, implementation of the method, final solution, presentation of results |
10 |
No |
| Problem solving |
Correctness of the solution and delivery of the exercises in due time. |
25 |
No |
| Continuous evaluation tests |
Correctness of the answer |
25 |
No |
| Written global exam |
Correctness of the answers |
40 |
Yes |
Grading
Course mark will result from the weighted average of "Written Exam" (40%) + "Continuous Evalauation Tests" (25%) + "Problem Solving & Simulations" (35%)
Solving correctly in due time the proposed "self-learning exercises" (not graded) is mandatory to pass the course.
To perform the weighted average, the mark obtained in the "Written Exam" should be >= 4 over 10.
Specific criteria for the "No show" grade:
The student will not be qualified if any of the following points is fulfilled:
- Failing to deliver in due time more than 15% of the proposed problems
- Failing to deliver in due time 1 or more of the simulation exercises proposed
- Failing to pass in due time the "self-learning exercises"
- Failing to deliver the written exam
Single Assessment:
Students that comply with the conditions for a Single Assessment evaluation will obtain the grade of the course in a final exam.
Minimum requirements to pass:
The minimum grade to pass the course is 5.0 over 10
Mentorship
There will be specified weekly time frames for on-line tutorships (via GoogleMeet or any other platform approved by UdG). Electronic mail can be also used to solve questions or doubts and set tutorship appointments out of the specified times frames.
Communication and interaction with students
Communication with students will be via e-mail and the News forum of the course’s Moodle. Individual on-line meetings will be possible for a personalised monitoring.
Remarks
It is expected that the student will be following (or had followed in a previous academic year) the subjects:
- The finite element method in structural mechanics
- Pre and post-process tools for structural finite element analyses
- Solid mechanics
We hope you enjoy it!
Recommended subjects
- Eines de pre i post-proces per anàlisis estructurals per elements finits
- El mètode dels elements finits en la mecànica d'estructures
- Mecànica de sòlids
Design Amendment
Amendment of activities:
As the course is already prepared for on-line teaching, no modification of the teaching activities is foreseen.
Amendment of the assessment:
As the course is already prepared for on-line teaching and evaluation, no modification of the evaluation activities is foreseen.
Mentoring and communication:
If the evolution of the pandemic results in a more restricted scenario, the course will become totally on-line but with the same terms and conditions.