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The J-integral concept for elastic-plastic material behavior

: Schmitt, W.; Kienzler, R.

Engineering fracture mechanics (1989), No.32, pp.409-418
ISSN: 0013-7944
Journal Article
Fraunhofer IWM ()
C*-integral; energy release rate; fracture mechanic; tearing modulus

A simple analytical extension of the J-integral is presented which extends the J-concept to apply for materials described by an incremental theory of plasticity. The stress work density replacing the strain energy density is load-history dependent. The J-integral may be made path independent by virtue of an additional volume integral and may be understood as work dissipation rate. The discussion of the consequences for the applicability of the J-concept to describe fracture processes shows that validity criteria proposed in the standards are not sufficient to yield configuration-independent J-resistance curves. However, a possibility is sketched to assess those structure-dependent resistance curves based on plastic-collaps considerations.