Distributions of local tensile stresses and strains in the fracture process of heterogeneous materials are studied by means of the discrete element method. Local stresses here are stresses on bonds in the bonded particle model. It is shown that these distributions become wider as the fracture process evolves. The approximation of long-wave tails by exponential and power functions is carried out, and the change in time of these function parameters is calculated. Keywords: Fracture of heterogeneous materials, discrete element method, stress and strain distributions.