Crack growth modelling in cementitious composites using XFEM

Abstract

The article focuses on modelling origin damage to heterogeneous materials, especial-ly to the issue of modelling the formation and propagation of cracks in fibre cementitious compo-sites, which leads to total degradation of any structure. This paper studies mathematical models based on the modification of the stress distribution and deformation calculation ahead the crack tip, using programming implementation of appropriate support procedures in Matlab language modify-ing the standard procedure of the extended finite element method (XFEM) for quasi-static material response. The technique of stress and strain calculation in the area of damage enables simplified and possibly more realistic estimates of the respective fields in the case of modelling the influence of short fibres realizing the reinforcement of construction materials.The article focuses on modelling origin damage to heterogeneous materials, especial-ly to the issue of modelling the formation and propagation of cracks in fibre cementitious compo-sites, which leads to total degradation of any structure. This paper studies mathematical models based on the modification of the stress distribution and deformation calculation ahead the crack tip, using programming implementation of appropriate support procedures in Matlab language modify-ing the standard procedure of the extended finite element method (XFEM) for quasi-static material response. The technique of stress and strain calculation in the area of damage enables simplified and possibly more realistic estimates of the respective fields in the case of modelling the influence of short fibres realizing the reinforcement of construction materials.