Fracture of materials
Summary
This course covers elementary fracture mechanics and its application to the fracture of engineering materials.
Content
The ideal strength, stress concentration factors, Griffith’s (thermodynamic) analysis of fracture; G and R
Irwin’s analysis; the stress intensity factor K, equivalence between Irwin’s and Griffith’s approaches to LEFM
Brittle fracture, Weibull statistics, subcritical crack growth in brittle solids
Influence of crack tip plasticity: small scale yielding, embrittlement of metallic materials, large scale yielding: COD and J-integral approaches, cohesive zones, R-curve behavior and its consequences for the onset of crack instability
Cyclic loading: parameters and cyclic plasticity; crack nucleation, crack growth, fracture mechanics applied to fatigue; Paris’s law, damage tolerant design, crack tip plasticity under cyclic loading
Overview of testing methods for fracture toughness and fatigue crack growth
Large-strain ductile failure and the limitations of elastic-plastic fracture mechanics: the essential work of fracture (EWF): fracture of hyper-elastic materials and very soft materials
Kinetic and dynamic effects in fracture, rapid crack propagation (RCP) and crack arrest: high-speed fracture testing
Time-dependent fracture: viscoelastic fracture mechanics: special case of creep facture: slow crack growth in polymers under long-term static and dynamic loading: stress-corrosion cracking: thermal fatigue.
Fracture in highly heterogeneous and highly anisotropic media: bi-materials interfaces: specific test methods for rigid, viscoelastic and hyper-elastic substrates: testing of soft adhesives.
Learning Prerequisites
Required courses
Continuum mechanics, MSE-203, MX, Drezet
Materials mechanics, MSE-205, MX, Bourban
Deformation of materials, MSE-310, MX, Logé
Recommended courses
Surfaces and interfaces, MSE-304, MX, Ceriotti
Building materials + Laboratory work, MSE-322, MX, Boehm Courjault Scrivener Sofia
Ceramics, structures and properties + TP, MSE-231, MX, Damjanovic Stolichnov
Metals and alloys + Laboratory Work, MSE-236, MX, Drezet Weber
Composites technology, MSE-440, MX, Bourban Michaud
Materials selection, MSE-474, MX, Michler Siegmannm Vaucher
Polymères, structures, propriétés, MSE-230, MX, Plummer
Learning Outcomes
By the end of the course, the student must be able to:
- Decide on the structural viability of structures containing defects
- Deduce the largest defect that can be tolerated in a structure under load
- Predict the lifetime of structures susceptible to gradual crack growth
- Design tests to assess the resistance of materials to fracture
- Analyze causes for mechanical failure
- Assess / Evaluate how, and how often a structure should be checked for defects
- Hypothesize the mechanical performance of materials knowing their structure
Transversal skills
- Set objectives and design an action plan to reach those objectives.
- Access and evaluate appropriate sources of information.
- Collect data.
- Demonstrate the capacity for critical thinking
Expected student activities
Attendance at lectures, completion of exercices
Assessment methods
Written exam
Supervision
| Office hours | Yes |
Resources
Bibliography
T.L. Anderson, Fracture Mechanics - Fundamentals and Applications, 2nd Ed., CRC Press, Boca Raton, USA, 1995.
J.M. Barsom et S.T. Rolfe, Fracture and Fatigue Control in Structures, 3rd Ed., ASTM/ButterworthHeinemann, 1999.
D. Broek, Elementary Engineering Fracture Mechanics, Martinus Nijhoff, Kluwer, Dordrecht NL, 1986.
T.H. Courtney, Mechanical Behavior of Materials, McGraw-Hill, New York, 1990.
G.E Dieter, Mechanical Metallurgy 3rd Edition, McGraw-Hill, 1986.
H.L. Ewalds & R.J.H. Wanhill, Fracture Mechanics, Edward Arnold, London, 1985, pp. 12 à 21, 28 à 55, 75 à 82.
D. François, A. Pineau et A. Zaoui, Comportement Mécanique des Matériaux, Volume 2 Hermès, Paris, 1993.
K. Friedrich, Application of Fracture Mechanics to Composite Materials, Elsevier 1989.
D.J. Green, an Introduction to the Mechanical Properties of Ceramics, Cambridge University Press, 1998.
R.W. Hertzberg, Deformation and Fracture Mechanics of Engineering Materials, 3rd Ed., John Wiley & Sons, New York, 1989, pp. 237 à 246, 271 à 291.
J.W. Hutchinson, Non Linear Fracture Mechanics, Dept. of Solid Mechanics, Technical University of Denmark, Lyngby, Denmark, 1979 (reprinted 1989).
M. Janssen, J. Zuidema et & R.J.H. Fracture Mechanics, 2nd Ed., Spon Press, Taylor and Francis Group, London & New York, 2004.
M.F. Kanninen et C.H. Popelar, Advanced Fracture Mechanics, Oxford Eng. Sci. Series, Oxford, UK, 1985.
A. Kelly and N.H. MacMillan, Strong Solids, 3rd Ed., Oxford Science, Oxford UK, 1986.
A.J. Kinloch, Adhesion and Adhesives, Springer Science and Business Media, 2012
B. Lawn, Fracture of Brittle Solids, 2nd Ed., Cambridge University Press, 1993.
M.A. Meyers and K.K. Chawla, Mechanical Behavior of Materials, Cambridge University Press, 2009.
D.R. Moore, J.G. Williams and A. Pavan, Fracture Mechanics Testing Methods for Polymers, Adhesives and Composites, Elsevier, 2001.
J.B. Wachtman, Mechanical Properties of Ceramics, J. Wiley & Sons, New York, 1996.
I.M Ward and J. Sweeney, Mechanical Properties of Solid Polymers, 3rd Edition, Wiley, 2012.
J.G. Williams, Fracture mechanics of polymers, Halstead Press, New York, 1984.
Ressources en bibliothèque
- Fracture Mechanics / Ewalds
- Comportement mécanique des matériaux Vol.2 / François, Pineau, Zaoui
- Fracture Mechanics / Anderson
- Fracture and fatigue control in structures:applications of fracture mechanics / Barsom
- Elementary engineering fracture mechanics / Broek
- Mechanical behavior of materials / Courtney
- Mechanical metallurgy SI Metric ed. / Dieter
- Application of fracture mechanics to composite materials / Friedrich
- An introduction to the mechanical properties of ceramics / Green
- Deformation and Fracture Mechanics of Engineering Materials / Hertzberg
- Nonlinear Fracture Mechanics / Hutchinson
- Fracture mechanics / Janssen
- Advanced Fracture Mechanics / Kanninen
- Strong Solids / Kelly
- Adhesion and Adhesives / Kinloch
- Fracture of Brittle Solids / Lawn
- Mechanical Behavior of Materials / Meyers
- Fracture Mechanics Testing Methods for Polymers, Adhesives and Composites / Moore, Williams, Pavan
- Mechanical Properties of Ceramics / Wachtman
- Mechanical Properties of Solid Polymers / Ward
- Williams, Fracture mechanics of polymers (disponible à l'ETH-Bibliothek)
Moodle Link
In the programs
- Semester: Spring
- Exam form: Written (summer session)
- Subject examined: Fracture of materials
- Courses: 2 Hour(s) per week x 14 weeks
- Exercises: 2 Hour(s) per week x 14 weeks
- Type: optional
- Semester: Spring
- Exam form: Written (summer session)
- Subject examined: Fracture of materials
- Courses: 2 Hour(s) per week x 14 weeks
- Exercises: 2 Hour(s) per week x 14 weeks
- Type: optional
- Semester: Spring
- Exam form: Written (summer session)
- Subject examined: Fracture of materials
- Courses: 2 Hour(s) per week x 14 weeks
- Exercises: 2 Hour(s) per week x 14 weeks
- Type: optional
- Semester: Spring
- Exam form: Written (summer session)
- Subject examined: Fracture of materials
- Courses: 2 Hour(s) per week x 14 weeks
- Exercises: 2 Hour(s) per week x 14 weeks
- Type: optional