Fracture of materials

MSE-424 / 4 credits

Teacher(s): Drezet Jean-Marie, Molinari Jean-François

Language: English

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

Moodle Link

In the programs

  • Semester: Spring
  • Exam form: Written (summer session)
  • Subject examined: Fracture of materials
  • Lecture: 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
  • Lecture: 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
  • Lecture: 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
  • Lecture: 2 Hour(s) per week x 14 weeks
  • Exercises: 2 Hour(s) per week x 14 weeks
  • Type: optional

Reference week

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