Affiliations: Technical Mechanics Department, Bulgaria, University of Architecture Civil Engineering and Geodesy, Sofia, Bulgaria
Note:  Address for correspondence: A. Mladensky, Assistant Professor, Technical Mechanics Department, University of Architecture Civil Engineering and Geodesy, 1 Chr. Smirnensky Blvd., 1046 Sofia, Bulgaria. Tel.: +359 886 921 528; E-mail: [email protected]
Abstract: The object of investigation is Mode II interlaminar fracture in cantilever beam acted upon by a tensile force applied at the free end. The beam is built by unidirectional fiber reinforced composite and contains two cracks situated symmetrically with respect to the beam axis. The fracture analysis is carried out assuming non-linear material behavior. For this purpose, the idealized stress–strain diagram of the elastic-linearly hardening material is used. The J-integral approach of the non-linear fracture mechanics is applied. Using a model based on Mechanics of materials, five closed form solutions of J-integral are obtained, each one corresponding to the different beam stresses levels. Parametrical investigation of J-integral for each load level under consideration is also performed. A numerical example is presented in order to illustrate the influence of the material non-linearity on the J-integral magnitude. It is found that the J-integral magnitude increases when the non-linearity is taken into account. This finding is attributed to the increased strain energy dissipation due to the non-linear deformation.