Non-linear fracture analysis of Cantilever Beam Opened Notch specimen

• Elastic–plastic fracture analysis of Cantilever Beam Opened Notch is presented.
• Analytical solution of J-integral is derived.
• Inclusion of material non-linearity is analyzed by numerical example.
• Influences of crack position and crack length on J-integral value are investigated.

The present theoretical study deals with non-linear fracture behavior of Cantilever Beam Opened Notch (CBON) specimen. It is assumed that the mechanical response of the CBON specimen can be described by the stress–strain diagram of an elastic-perfectly plastic material for both tension and compression. Non-linear fracture analysis is performed applying the J-integral approach. For this purpose, a model based on mechanics of materials is used and analytical solution of J-integral useful for a different level of stresses and strains in the beam is found. The influence of crack position as well as crack length on J-integral value is investigated. The analysis also shows that the inclusion of material non-linearity increases the value of J-integral.