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Thermodynamics and the cohesive zone in fracture

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Abstract

This paper discusses the thermodynamics of the cohesive zone preceding a running crack. Appropriate forms of the first two laws are given and some simple constitutive equations are discussed.

Zusammenfassung

In dieser Arbeit wird die Thermodynamik der Kohäsions-Zone diskutiert, die einem laufenden Riss voraneilt. Es werden passende Formen der ersten zwei Hauptsähe angegeben, und es werden einige einfache Stoffgleichungen diskutiert.

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References

  1. G. P. Cherepanov,Crack Propagation in Continuous Media, J. Appl. Math. Mech.31, 503–512 (1967).

    Google Scholar 

  2. H. C. Strifors,A Generalized Force Measure of Conditions at Crack Tips, Int. J. Solids Struct.10, 1389–1404 (1974).

    Google Scholar 

  3. J. Eftis andH. Liebowitz,On Surface Energy and the Continuum Thermodynamics of Brittle Fracture, Eng. Fracture Mech.8, 459–485 (1976).

    Google Scholar 

  4. J. R. Rice,Thermodynamics of the Quasi-static Growth of Griffith Cracks, J. Mech. Phys. Solids26, 61–78 (1978).

    Google Scholar 

  5. M. E. Gurtin,Thermodynamics and the Griffith Criterion for Brittle Fracture, Int. J. Solids Struct.,15, 553–560 (1979).

    Google Scholar 

  6. B. D. Coleman andW. Noll,The Thermodynamics of Elastic Materials with Heat Conduction and Viscosity, Arch Rational Mech. Anal.13, 167–178 (1963).

    Google Scholar 

  7. G. I. Barenblatt,The Mathematical Theory of Equilibrium Cracks in Brittle Fracture, Adv. Appl. Mech.7, 55–129 (1962).

    Google Scholar 

  8. J. N. Goodier, ‘Mathematical Theory of Equilibrium Cracks’,Fracture, An Advanced Treatise, Vol. II (ed. H. Liebowitz), Academic Press, New York, 1–66 (1968).

    Google Scholar 

  9. J. R. Rice, Mathematical Analysis in the Mechanics of Fracture,’Fracture, An Advanced Treatise, Vol. II (ed. H. Liebowitz), Academic Press, New York, 191–311 (1968).

    Google Scholar 

  10. B. D. Coleman andV. J. Mizel,Existence of Caloric Equations of State in Thermodynamics, J. Chem. Phys.40, 1116–1125 (1964).

    Google Scholar 

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Authors and Affiliations

  1. Dept of Mathematics, Carnegie-Mellon University, Pittsburgh, Pennsylvania, USA

    Morton E. Gurtin

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  1. Morton E. Gurtin
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Gurtin, M.E. Thermodynamics and the cohesive zone in fracture. Journal of Applied Mathematics and Physics (ZAMP) 30, 991–1003 (1979). https://doi.org/10.1007/BF01590496

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  • DOI: https://doi.org/10.1007/BF01590496

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