Smoothed floating node method for modelling 2D arbitrary crack propagation problems

Journal Article (2022)
Author(s)

Umed Singh (Indian Institute of Technology Ropar)

Sachin Kumar (Indian Institute of Technology Ropar)

B. Chen (TU Delft - Aerospace Structures & Computational Mechanics)

Research Group
Aerospace Structures & Computational Mechanics
Copyright
© 2022 Umed Singh, Sachin Kumar, B. Y. Chen
DOI related publication
https://doi.org/10.1016/j.tafmec.2021.103190
More Info
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Publication Year
2022
Language
English
Copyright
© 2022 Umed Singh, Sachin Kumar, B. Y. Chen
Research Group
Aerospace Structures & Computational Mechanics
Volume number
117
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Abstract

In this work, Floating Node Method (FNM), first developed for fracture modelling of laminate composites, is coupled with cell-wise strain Smoothed Finite Element Method (SFEM) for modelling 2D linear elastic fracture mechanics problems. The proposed method is termed as Smoothed Floating Node Method (SFNM). In this framework, FNM is used to represent the kinematics of crack and the crack front inside the domain without the requirement of remeshing and discontinuous enrichment functions during crack growth. For smoothing, a constant smoothing function is considered over the smoothing domains through which classical domain integration changes to line integration along each boundary of the smoothing cell, hence derivative of shape functions are not required in the computation of the field gradients. The values of stress intensity factor are obtained from the SFNM solution using domain based interaction integral approach. Few standard fracture mechanics problems are considered to check the accuracy and effectiveness of the proposed method. The predictions obtained with the proposed framework improves the convergence and accuracy of the results in terms of the stress intensity factors and energy norms.

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