Computational analysis of quasi-brittle fracture in fibre reinforced cementitious composites

0541321 - ÚFM 2022 RIV NL eng J - Journal Article
Vala, J. - Kozák, Vladislav
Computational analysis of quasi-brittle fracture in fibre reinforced cementitious composites.
Theoretical and Applied Fracture Mechanics. Roč. 107, JUN (2020), č. článku 102486. ISSN 0167-8442. E-ISSN 1872-7638
Institutional support: RVO:68081723
Keywords : finite-element-method * bi-helmholtz type * nonlocal elasticity * numerical-integration * quadrature-rules * damage model * mechanics * matrix * xfem
OECD category: Applied mechanics
Impact factor: 4.017, year: 2020
Method of publishing: Limited access
https://www.sciencedirect.com/science/article/pii/S0167844219306500?via%3Dihub

Prediction of quasi-brittle behaviour of structural components from fibre reinforced composites under mechanical loads should incorporate such physical processes as elastic, resp. plastic deformation, crack initiation, crack propagation in a matrix, pull out of fibres and rupture of fibres. The computational model for the practically most important case of cementitious composites containing short intentionally or quasi-randomly oriented steel, ceramic, resp. polymeric fibres with its primary import of suppression of tensile stresses in a matrix will be introduced. Its numerical approach relies on the modified eXtended Finite Element Method, open to the implementation of the cohesive traction separation law. This paper introduces the implementation of some integral-type nonlocal constitutive strain-stress relation. It pays attention namely to the Eringen model for the generation of the multiplicative damage factor, to the related quasi-static analysis, to the existence of a weak solution of the corresponding boundary and initial value problem with a parabolic system of partial differential equation and to the convergence of an algorithm based on 3 types of Rothe sequences. Thus, the article combines the possibilities of the two procedures for modeling crack propagation. Microstructural behavior is contained in the Eringen model, the effect of macro behavior in modified finite element method XFEM.
Permanent Link: http://hdl.handle.net/11104/0319633