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The aims of the paper are: (i) presenting a new non-local method, (ii)analysis of influence of weight function parameters in calculation of non-local damageparameter and fatigue lives. The non-local damage parameter is computed by theweighted integration process of normal strain amplitudes over the potential crackplane. Based on the experimental results and fatigue life calculation it is concluded thatthe ‘non-local effect’ of strain distribution depends on cyclic properties of strain-stressrelation.