Stable generalized finite element method (SGFEM) for three-dimensional crack problems

C Cui, Q Zhang, U Banerjee, I Babuška - Numerische Mathematik, 2022 - Springer
This paper proposes a stable generalized finite element method (SGFEM) for the linear 3D
elasticity problem with cracked domains. Conventional material-independent branch …

A stable generalized/extended p-hierarchical FEM for three-dimensional linear elastic fracture mechanics

AG Sanchez-Rivadeneira, N Shauer… - Computer Methods in …, 2020 - Elsevier
In this paper, the quadratic Stable Generalized Finite Element Method (SGFEM) proposed in
Sanchez-Rivadeneira and Duarte (2019) is extended to 3-D fracture problems with non …

[HTML][HTML] Mixed modes crack propagation of orthogonal woven-layer in carbon/aramid/epoxy laminates

Y Fu, WY Lv, WH Sun, LM Xu, H Guo - Composites Part A: Applied Science …, 2024 - Elsevier
This work presents a combined formulation for the fracture model of carbon/aramid fiber
reinforced plastic woven laminates (CARPWLs). The structural crack is implemented based …

On the stability and interpolating properties of the hierarchical interface-enriched finite element method

AM Aragón, B Liang, H Ahmadian, S Soghrati - Computer Methods in …, 2020 - Elsevier
Abstract The Hierarchical Interface-enriched Finite Element Method (HIFEM) is a technique
for solving problems containing discontinuities in the field gradient using finite element …

[HTML][HTML] Fully decoupling geometry from discretization in the Bloch–Floquet finite element analysis of phononic crystals

SJ van den Boom, F van Keulen, AM Aragón - Computer Methods in …, 2021 - Elsevier
An immersed enriched finite element method is proposed for the analysis of phononic
crystals (PnCs) with finite element (FE) meshes that are completely decoupled from …

A simple, first-order, well-conditioned, and optimally convergent Generalized/eXtended FEM for two-and three-dimensional linear elastic fracture mechanics

AG Sanchez-Rivadeneira, CA Duarte - Computer Methods in Applied …, 2020 - Elsevier
This paper proposes a first-order Generalized/eXtended Finite Element Method (G/XFEM)
for 2-D and 3-D linear elastic fracture mechanics problems. The conditioning of the method …

A stable interface‐enriched formulation for immersed domains with strong enforcement of essential boundary conditions

SJ van den Boom, J Zhang… - International Journal …, 2019 - Wiley Online Library
Generating matching meshes for finite element analysis is not always a convenient choice,
for instance, in cases where the location of the boundary is not known a priori or when the …

An interface-enriched generalized finite element method for level set-based topology optimization

SJ van den Boom, J Zhang, F van Keulen… - Structural and …, 2021 - Springer
During design optimization, a smooth description of the geometry is important, especially for
problems that are sensitive to the way interfaces are resolved, eg, wave propagation or fluid …

Smoothed numerical manifold method with physical patch‐based smoothing domains for linear elasticity

Z Liu, P Zhang, C Sun, Y Yang - International Journal for …, 2021 - Wiley Online Library
Smoothed finite element method with the node‐based strain smoothing domains (NS‐FEM)
is remarkable for the upper‐bound feature and insensitivity to the volumetric locking. As a …

An extended finite element method with polygonal enrichment shape functions for crack propagation and stiff interface problems

A Latifaghili, M Bybordiani, RE Erkmen… - International Journal …, 2022 - Wiley Online Library
The extended/generalized finite element method has proven significant efficiency for
handling crack propagation and internal boundaries. In certain conditions, however, one of …