Numerical Simulation of cracked orthotropic materials using extended isogeometric analysis

12th International Conference on Damage Assessment of Structures

Habib, S.H.^1 ; Belaidi, I.^1 ; Khatir, S.^2 ; Wahab, M. Abdel^2

Department of Mechanical Engineering, University of m'Hamed Bougara, Boumerdes, Algeria^1

Department of Electrical Energy, Systems and Automation, Faculty of Engineering and Architecture, Ghent University, Belgium^2

关键词: Enrichment functions;    Extended finite element method;    Fracture property;    Interaction integrals;    Isogeometric analysis;    Mixed-mode stress intensity factors;    Orthotropic materials;    Orthotropic medias;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/842/1/012061/pdf
DOI  :  10.1088/1742-6596/842/1/012061

来源: IOP

【 摘 要 】

In the present study, extended isogeometric analysis (XIGA) is used to analyse cracks in orthotropic media. NURBS and T-splines geometric technologies are used to define the geometry and the solution. Knot insertion and order elevation are used in NURBS models, while a new local refinement algorithm is applied to T-spline models. In XIGA, the basic idea of the extended finite element method (X-FEM) is used along with isogeometric analysis for modelling discontinuities by including enrichment functions. Special orthotropic crack tip enrichments are used to reproduce the singular fields near a crack tip, and fracture properties of the models are defined by the mixed mode stress intensity factors (SIFs), which are obtained by means of the interaction integral (M-integral). Results of the proposed method are compared with other available results.