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The J-Concept: Theoretical Basis And its Use in EPFM

  • Conference paper
Elastic-Plastic Fracture Mechanics

Abstract

The first part of this paper summarizes the original (two-dimensional) definition of the J-integral as introduced by Rice and the physical interpretation of J in terms of potential energy release and crack tip stress/strain field characterization. The derivation of a conservation law is discussed, from which the J-theory is generalized to plane defects in three-dimensional bodies and loadings not covered by the original concept, such as thermally induced initial strains, body forces and crack surface pressure.

the second part deals with the application of the J-cocept to elastic-plastic materials. It is argued that, as the theoretical concept is only valid for linear or non-linear elastic materials, or materials obeying a deformation theory of plasticity, practical applications are limited to the prediction of crack growth initiation and (to within certain limits)stable crack growth and final instability in structures with monotonically increasing proportional loads. Some important backgrounds of these specific applications of the J-concept are discussed briefly.

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Author information

Authors and Affiliations

  1. Laboratory for Thermal Power Engineering, Delft University of Technology, P.O. box 5055, 2600 GA, Delft, The Netherlands

    Ad Bakker

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  1. Ad Bakker
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Editor information

Editors and Affiliations

  1. Commission of the European Communities, Joint Research Centre, Ispra Establishment, Ispra, Italy

    Lars Hannes Larsson

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© 1985 ECSC,EEC,EAEC, Brussels and Luxembourg

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Bakker, A. (1985). The J-Concept: Theoretical Basis And its Use in EPFM. In: Larsson, L.H. (eds) Elastic-Plastic Fracture Mechanics. Ispra Courses on Materials, Engineering and Mechanical Science. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-5380-2_2

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  • DOI: https://doi.org/10.1007/978-94-009-5380-2_2

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-8874-9

  • Online ISBN: 978-94-009-5380-2

  • eBook Packages: Springer Book Archive

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