December 1. 2017 - The analytical energy release rate of a cracked body in anti-plane shear state is determined by means of using the solution of the boundary value problem. The analytical calculations in the non-linear fracture mechanics are based on non-linear hyperelastic material behaviour. The Ogden model is considered for the numerical calculation of the J-integral and the analytical determination of the energy release rate. The critical energy release rate values during crack extension can be predicted by using the analytically derived energy release rate equation. The numerical evaluated J-integral and the measured tearing energy from trouser samples for three mixtures are compared with the analytical energy release rate values.