Numerical study of a centred crack on an elastoplastic material by the FEM method

The numerical study of crack propagation is a very complex and important problem for knowing the lifetime of a structure. Nowadays, the modelling of crack propagation by various numerical methods plays a beneficial part in solving problems in fracture mechanics. Significantly used in biomechanics, biomaterials and structural calculation, it also makes it possible to deal with certain problems of fatigue of materials. In this article, a numerical study based on the finite element method (FEM) was used for a two-dimensional model, of an elastoplastic material, containing a central crack. The article is also based on the study of different cracking factors, such as stress intensity factors KI and KII, J-integral and strain energy. On the other hand, the contrast of these parameters was precisely centred on the five contours of the crack front. In addition, Abaqus computer code was used to obtain different results, moreover, CPS4R elements were used for modelling.