The determination of reliable J-values in structural analyses by the finite element method for elastic-plastic material behaviour is addressed. A survey over the theoretical background of the J-integral is given, possibilities and restrictions of application in elastic-plastic fracture mechanics are pointed out, and the calculation by the finite element method with special reference to ABAQUS is addressed in detail. In particular, the problem of path-dependence in incremental plasticity is discussed. It is shown that only a far-field value of J is uniquely defined, physically significant and in accordance with the results of respective experimental standards. (orig.)Also published in 'MP-Materialpruefung', v. 45(6) (2003), p. 264-275Available from TIB Hannover: RA 3251(03/22) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekSIGLEDEGerman