A review on XIGA method for computational fracture mechanics applications

Yadav, Aanchal; Godara, R. K.; Bhardwaj, Gagandeep

doi:10.1016/j.engfracmech.2020.107001

Cited by 40 publications

(12 citation statements)

References 186 publications

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“…Some of the efficient meshless methods include element free Galerkin method i.e. EFGM [28], meshless local Petrov-Galerkin method [12], extended finite element method (XFEM) [27,231,274] and extended Isogeometric analysis (XIGA) [31,32,115,275,276,342]. The following sections throw some light on the fracture analysis of the CNT and Graphene based-nanocomposites numerically and experimentally both taking reference with relevant works in the past in this area.…”

Section: Fracture Mechanics Study Of Cnt and Graphene Reinforced Compositesmentioning

confidence: 99%

A Review on Fracture Analysis of CNT/Graphene Reinforced Composites for Structural Applications

Yadav

Godara

Bhardwaj

et al. 2021

Arch Computat Methods Eng

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CNT/Graphene reinforced composites due to their exceptional mechanical, electrical, thermal, and optical characteristics that have attracted the scientific community working in the area of material development. In protraction, this review work on fracture analysis of CNT/Graphene reinforced composites is summarized from an exponentially growing literature inclusive of fabrication methods and present and potential applications. Owing to these composites' enormous structural applications, the number of literature works on the fracture of the structures using various models is summarized here. The literature contains several techniques to model the CNT/graphene composites that include: Halpin Tsai model, modified Halpin Tsai model, Mori-Tanaka model, homogenization approach, etc. which are discussed in detail. Various combined analysis for fracture toughness and crack growth analysis based on fracture mechanics are cited here using different computational formulations like finite element method (FEM), element free Galerkin method, reproducing kernel particle method, meshless local Petrov-Galerkin method, extended finite element method (XFEM), isogeometric analysis (IGA), etc. In particular, the authors have reported the work done in the area of fracture analysis of these novel composites since its inception that is inclusive of its structure, fabrication, properties, mathematical modeling, applications, and analysis.

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Section: Fracture Mechanics Study Of Cnt and Graphene Reinforced Compositesmentioning

confidence: 99%

A Review on Fracture Analysis of CNT/Graphene Reinforced Composites for Structural Applications

Yadav

Godara

Bhardwaj

et al. 2021

Arch Computat Methods Eng

Self Cite

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“…This issue is further aggravated in threedimensional problems. Next, through the partition of unity method (PUM), an enriched formulation family [1,[13][14][15] has been developed to circumvent the limitation of the re-meshing strategies by using a discontinuous interpolation of the displacement variable within enriched elements. However, these approaches have difficulties in computing the crack behavior in initiation, merging and branching, and even three-dimensional crack propagation problems.…”

Section: Introductionmentioning

confidence: 99%

Crack propagation in quasi-brittle materials by fourth-order phase-field cohesive zone model

Nguyen

Cuong-Le

Vogel

et al. 2022

Theoretical and Applied Fracture Mechanics

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A phase-field approach becomes a more popular candidate in modeling crack propagation. It uses a scalar auxiliary variable, namely a phase-field variable, to model a discontinuity zone in a continuity domain. Furthermore, the fourth-order phase-field approach produces a better convergence rate and more accurate solutions than the second-order one. However, it is available for modeling crack propagation in brittle material. This study addresses the fourth-order phase-field model combining the non-standard phase-field form with a cohesive zone model (CZM) to predict crack propagation in quasi-brittle material. A Cornelisson's softening law is used to capture the high precision of crack propagation prediction. The concrete material is considered as a quasi-brittle one. For computation efficiency using NURBS-based finite elements, Virtual Uncommon-Knot-Inserted Master-Slave (VUKIMS) technique is employed to derive a local refinement mesh. Numerical results are verified by the published ones from literature. It was found that the peak load and crack path are independent of the element size and insensitive to the length-scale number using the fourth-order phase-field CZM. Our proposed model shows the most significant advantage compared to the standard phase-field approach in terms of computational cost and solution accuracy.

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“…The two categories, including discrete and smeared approaches, have been studied to implement a crack behavior as a discontinuous zone in a continuous domain. The enriched formulation family includes the extended finite element method (XFEM) [42], the extended meshless method [46], the extended isogeometric analysis (XIGA) [70,72], and the extended isogeometric boundary element method (XIBEM) [51]. These approaches play an outstanding role in the discrete approaches by establishing an enriched displacement variable formulation within enriched elements through the partition of unity method (PUM).…”

Section: Introductionmentioning

confidence: 99%

A hybrid phase-field isogeometric analysis to crack propagation in porous functionally graded structures

Nguyen

Cuong-Le

Nguyen‐Xuan

et al. 2021

Engineering with Computers

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A review on XIGA method for computational fracture mechanics applications

Cited by 40 publications

References 186 publications

A Review on Fracture Analysis of CNT/Graphene Reinforced Composites for Structural Applications

A Review on Fracture Analysis of CNT/Graphene Reinforced Composites for Structural Applications

Crack propagation in quasi-brittle materials by fourth-order phase-field cohesive zone model

A hybrid phase-field isogeometric analysis to crack propagation in porous functionally graded structures

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