Abstract
A numerical method is described for the dynamic stress analysis of certain linear elastic fracture problems. The method, based on the dynamic relaxation technique, may be used to derive an important quantity known in the theory of continuum fracture mechanics as the energy release rate G. The relevant of this quantity is discussed with regard to the prediction of crack paths in for example a rock breakage process. A particularly simple fracture model is examined using the method and the results from the calculation are compared with an exact solution obtained analytically. Various useful developments of this model are considered. Finally an advanced model assuming plane stress conditions is presented for which a general statement regarding the behaviour of G at different crack tip velocities is made. The scope of the method in its application to the modelling of rock fracture processes appears only limited by the economies of computer time and storage.
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