2014
DOI: 10.1007/s40430-014-0232-1
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Fatigue crack growth analysis of a homogeneous plate in the presence of multiple defects using extended isogeometric analysis

Abstract: In this work, extended Isogeometric analysis (XIGA) is successfully extended to evaluate the fatigue life of a homogenous finite plate in the presence of multiple defects (cracks, holes and inclusions) under cyclic loading condition. In isogeometric analysis, same basis functions, i.e. non uniform rational B-splines are used for defining the geometry and solution. In XIGA, the crack faces are modeled by discontinuous Heaviside jump functions, whereas the singularity in stress field at the crack tip is modeled … Show more

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Cited by 25 publications
(9 citation statements)
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“…Domain-based interaction integral is used here for the extraction of discrete values of the SIFs ( K I and K II ) . 51,52 For all the cases considered for this paper including a plate with holes, plate with inclusions, plate reinforced with SWCNTs or plate reinforced with MWCNTs, the domain size at the tip of the crack is kept constant since it governs the values of SIF. To accurately capturing the discontinuities near the crack, it is tried to keep the domain size as small as possible.…”
Section: Problem Formulationmentioning
confidence: 99%
“…Domain-based interaction integral is used here for the extraction of discrete values of the SIFs ( K I and K II ) . 51,52 For all the cases considered for this paper including a plate with holes, plate with inclusions, plate reinforced with SWCNTs or plate reinforced with MWCNTs, the domain size at the tip of the crack is kept constant since it governs the values of SIF. To accurately capturing the discontinuities near the crack, it is tried to keep the domain size as small as possible.…”
Section: Problem Formulationmentioning
confidence: 99%
“…, 1997; Musivand-Arzanfudi and Hosseini-Toudeshky, 2009), the isogeometric analysis method (IGA) (Choi and Cho, 2014; Khademalrasoul, 2018; Khademalrasoul and Naderi, 2015; Verhoosel et al. , 2011) and the extended isogeometric analysis method (XIGA) (Bhardwaj and Singh, 2015; Bhardwaj et al. , 2016; Ghorashi et al.…”
Section: Introductionmentioning
confidence: 99%
“…Nonetheless, some recent studies have made attempts to explain the concept of numerical implementation of strong and soft discontinuities in the numerical solution space. The standard finite element method (FEM) (Gray et al, 2003), the extended finite element method (XFEM), the meshless methods (Belytschko and Fleming, 1999;Atluri and Zhu, 1998;Belytschko et al, 1996;Chen et al, 2006;Fleming et al, 1997;Musivand-Arzanfudi and Hosseini-Toudeshky, 2009), the isogeometric analysis method (IGA) (Choi and Cho, 2014;Khademalrasoul, 2018;Khademalrasoul and Naderi, 2015;Verhoosel et al, 2011) and the extended isogeometric analysis method (XIGA) (Bhardwaj and Singh, 2015;Bhardwaj et al, 2016;Ghorashi et al, 2012;Singh et al, 2018) have been employed to investigate crack propagation. Also from a diversity of research in fracture phenomenon, the brittle crack growth is of fundamental significance in the durability of a structure.…”
Section: Introductionmentioning
confidence: 99%
“…Therefore, this method has the advantages of both XFEM and IGA, which are summarized by the ability to represent complex geometries independently of any discontinuities and without explicit meshing to obtain solutions with higher orders. Some applications in fracture mechanics have been checked by the XIGA, such as in the cases of homogeneous materials (Ghorashi et al, 2012;Bhardwaj and Singh, 2015), functionally graded material (Bhardwaj et al, 2015a,c) and bimaterial interfaces (Bhardwaj et al, 2015b;Jia et al, 2015), where the non-uniform rational B-splines (NURBS) are used. Also, orthotropic media have been studied using T-spline based XIGA .…”
Section: Introductionmentioning
confidence: 99%