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An accurate and efficient algorithm for the simulation of fatigue crack growth based on XFEM and combined approximations

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TLDR
From these results, it is shown that the presented algorithm is very accurate and can save huge amounts of computational effort.
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This article is published in Applied Mathematical Modelling.The article was published on 2018-03-01. It has received 41 citations till now. The article focuses on the topics: Extended finite element method.

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Crack path and life prediction under mixed mode cyclic variable amplitude loading through XFEM

TL;DR: In this article, a mesh independent computational algorithm is developed and incorporated into a commercial finite element software (Abaqus) for automated fatigue crack growth analysis under mixed mode variable amplitude loading conditions.
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A novel multi-grid based reanalysis approach for efficient prediction of fatigue crack propagation

TL;DR: A novel multi-grid (MG) reanalysis method is formulated under the framework of the extended finite element method (XFEM) and it is shown that the presented algorithm is very accurate and can efficiently reduce the computational cost.
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Data-driven algorithm for real-time fatigue life prediction of structures with stochastic parameters

TL;DR: The analysis results demonstrate that the proposed data-driven algorithm can accurately predict the fatigue life of the structures with stochastic parameters.
Journal ArticleDOI

A gradient weighted extended finite element method (GW-XFEM) for fracture mechanics

TL;DR: In this article, a gradient weighted extended finite element method (GW-XFEM) is presented for the analysis of fracture problems, where the gradient field is constructed by considering the influences of the element itself and its adjacent elements.
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N-sided polygonal smoothed finite element method (nSFEM) with non-matching meshes and their applications for brittle fracture problems

TL;DR: Numerical results validate that the nSFEM shows great potential for phase field fracture problems due to its flexibility in dealing with complex elements shape and non-matching meshes.
References
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Journal ArticleDOI

Extended finite element method with edge-based strain smoothing (ESm-XFEM) for linear elastic crack growth

TL;DR: In this article, a strain smoothing procedure for the extended finite element method (XFEM) is presented, which is tailored to linear elastic fracture mechanics and, in this context, to outperform the standard XFEM.
Journal ArticleDOI

The numerical simulation of fatigue crack growth using extended finite element method

TL;DR: In this article, the fatigue life of homogeneous plate containing multiple discontinuities (holes, minor cracks and inclusions) is evaluated by extended finite element method (XFEM) under cyclic loading condition.
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On the performance of strain smoothing for quadratic and enriched finite element approximations (XFEM/GFEM/PUFEM)

TL;DR: In this article, Chen et al. extended the strain smoothing to higher order elements and investigated numerically in which condition strain-smoothing is beneficial to accuracy and convergence of enriched finite element approximations.
Journal ArticleDOI

Real-time simulation of contact and cutting of heterogeneous soft-tissues

TL;DR: A numerical method for interactive (real-time) simulations, which considerably improves the accuracy of the response of heterogeneous soft-tissue models undergoing contact, cutting and other topological changes is presented.
Journal ArticleDOI

A robust algorithm for configurational‐force‐driven brittle crack propagation with R‐adaptive mesh alignment

TL;DR: In this article, the authors considered a variational formulation of brittle fracture in elastic solids and proposed a numerical implementation by a finite element method, where the authors exploited this variational structure in terms of crack-driving configurational forces.
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