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

Recap of Continuum Mechanics and Mechanics of solids with dynamics. Wave equation in 1D bars. Dispersion relation, limit of continuum model; 3D wave propagation. Helmholtz decomposition; Reflection and refraction of planar waves; Rayleigh waves.

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, Irwin and Dugdale process zone size estimates: 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. Dynamic crack propagation.

 

Keywords

Elastic waves, Cracks in materials, Fracture mechanics, Fatigue.

Learning Prerequisites

Required courses

Continuum mechanics or equivalent, MSE-203, MX, Drezet

Materials mechanics or equivalent, MSE-205, MX, Bourban Deformation of materials or equivalent, MSE-310, MX, Logé

 

 

Learning Outcomes

By the end of the course, the student must be able to:

  • Analyze wave propagation in linear elastic solids
  • 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

Supervision

Office hours Yes
Assistants 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 to 21, 28 to 55, 75 to 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
  • 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
  • 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

Reference week

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