Abstract
The article focuses on modelling origin damage to heterogeneous materials, especially to the issue of modelling the formation and propagation of cracks in fibre cementitious composites, 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 modifying 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.
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