State-of-the-art review on meshless methods in the application of crack problems

M Zhang, ARZ Abidin, CS Tan - Theoretical and Applied Fracture …, 2024 - Elsevier
Meshless or meshfree methods (MMs) are practical and excellent numerical techniques for
solving crack problems. With the inherent limitations of mesh-based methods such as the …

Numerical simulation of fracking in shale rocks: current state and future approaches

G Hattori, J Trevelyan, CE Augarde… - … Methods in Engineering, 2017 - Springer
Extracting gas from shale rocks is one of the current engineering challenges but offers the
prospect of cheap gas. Part of the development of an effective engineering solution for shale …

The finite element over-deterministic method to calculate the coefficients of crack tip asymptotic fields in anisotropic planes

MR Ayatollahi, M Nejati, S Ghouli - Engineering Fracture Mechanics, 2020 - Elsevier
This article applies the finite element over-deterministic (FEOD) method to determine the
coefficients of the crack tip asymptotic fields in an anisotropic plane. This method relies on …

Free flexural vibration of cracked composite laminated plate using higher-order XFEM

K Dwivedi, A Raza, H Pathak, M Talha… - Engineering Fracture …, 2023 - Elsevier
In this work, a higher-order XFEM approach is presented and implemented to analyze free
flexural vibration in cracked composite laminated plate using higher-order shear …

Anisotropic elastoplastic phase field fracture modeling of 3D printed materials

P Li, J Yvonnet, C Combescure, H Makich… - Computer Methods in …, 2021 - Elsevier
A phase field model for anisotropic, elastoplastic fracture model in layered structures
obtained by 3D printing processes is proposed. An extension of anisotropic phase field to …

Thermal fracture analysis in orthotropic materials by XFEM

SH Bayat, MB Nazari - Theoretical and Applied Fracture Mechanics, 2021 - Elsevier
This paper discusses the thermal fracture analysis of anisotropic materials under thermal
shock based on the classic theory of thermoelasticity in the framework of the Extended Finite …

Representation of singular fields without asymptotic enrichment in the extended finite element method

S Natarajan, C Song - International Journal for Numerical …, 2013 - Wiley Online Library
In this paper, we replace the asymptotic enrichments around the crack tip in the extended
finite element method (XFEM) with the semi‐analytical solution obtained by the scaled …

[HTML][HTML] Adaptive orthotropic XIGA for fracture analysis of composites

J Gu, T Yu, S Tanaka, L Qiu, TQ Bui - Composites Part B: Engineering, 2019 - Elsevier
This paper is concerned with the numerical investigation of fracture mechanics parameters
for cracked orthotropic composite structures by using an efficient computational approach …

Dynamic stationary crack analysis of isotropic solids and anisotropic composites by enhanced local enriched consecutive-interpolation elements

Z Kang, TQ Bui, S Hirose - Composite Structures, 2017 - Elsevier
The recently developed local enriched consecutive-interpolation 4-node quadrilateral
element (XCQ4) is extended to study transient dynamic stress intensity factors (DSIFs) for …

Crack tip fields in anisotropic planes: a review

MR Ayatollahi, M Nejati, S Ghouli - International Journal of Fracture, 2022 - Springer
This paper reviews crack tip asymptotic fields in generic plane anisotropic media, rigorously
categorising about 400 studies devoted to the determination of the asymptote coefficients …