Griffith Theory of Fracture
- Prof. Alan T. Zehnder
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Brittle fracture theory; Linear elastic fracture
The Griffith theory states that a crack will propagate when the reduction in potential energy that occurs due to crack growth is greater than or equal to the increase in surface energy due to the creation of new free surfaces. This theory is applicable to elastic materials that fracture in a brittle fashion.
Through a series of experiments, stress analyses, and synthesis of prior work, in his remarkable paper Griffith (1921) developed the fundamental concept that underlies the modern theory of linear elastic fracture mechanics. His theory is based on balancing the reduction of potential energy that occurs during fracture with the increase in surface energy due to the creation of new free surfaces when a crack grows.
The energy release rate, G, is defined as the energy that flows to the crack tip per unit of new crack surface created. An energy balance shows th ...
- ASTM, ASTM E 1820: Standard Test Method for Measurement of Fracture Toughness (ASTM International, West Conshohocken, PA, 2005)
- A.A. Griffith, The phenomena of rupture and flow in solids. Philos. Trans. R. Soc. Lond. A 221, 163–198 (1921) CrossRef
- C.W. Hwang, Virtual crack extension method for calculating rates of energy release rate and numerical simulation of crack growth in two and three dimensions. Ph.D. thesis, Cornell University 1999
- M. Janssen, J. Zuidema, R. Wanhill, Fracture Mechanics (Spon Press, London, 2004)
- D.R. Moore, J.G. Williams, Peel testing of flexible laminates, in Fracture Mechanics Testing Methods for Polymers, Adhesives and Composites (Elsevier, Amsterdam, 2001), pp. 203–224 CrossRef
- J.R. Rice, Chap 3. Fracture, in Mathematical Analysis in the Mechanics of Fracture, ed. by H. Liebowitz, vol. II (Academic Press, New York, 1968), pp. 191–311
- C.H. Wu, Maximum energy release rate criterion applied to a tension-compression specimen with crack. J. Elasticity 8, 235–257 (1978) CrossRef
- Griffith Theory of Fracture
- Reference Work Title
- Encyclopedia of Tribology
- pp 1570-1573
- Print ISBN
- Online ISBN
- Springer US
- Copyright Holder
- Springer Science+Business Media New York
- Additional Links
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- Editor Affiliations
- 1. Department of Mechanical Engineering and Center for Surface Engineering and Tribology, Northwestern University
- 2. Department of Materials Science and Engineering and Center for Surface Engineering and Tribology, Northwestern University
- Prof. Alan T. Zehnder (02591)
- Author Affiliations
- 02591. Field of Theoretical and Applied Mechanics, Cornell University, Ithaca, NY, 14853, USA
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