Application of special finite elements for determination of the parameters of fracture mechanics of nonlinear elastomers with cracks

摘要

To simulate singular stress and strain fields in elastomers with cracks, we use spatial square finite elements with intermediate nodes shifted toward the crack front taking into account the weak compressibility of the material. We construct the shape functions reflecting the discontinuity of the distribution of displacements of order. Since, in the region of the crack, the elastomer is subjected to significant deformations, the analysis of the structure is performed according to a nonlinear algorithm based on the modified Newton-Kantorovich method.