A comparative review of XFEM, mixed FEM and phase-field models for quasi-brittle cracking

M Cervera, GB Barbat, M Chiumenti, JY Wu - Archives of Computational …, 2022 - Springer
In this work, a critical comparison between three different numerical approaches for the
computational modelling of quasi-brittle structural failure is presented. Among the many …

Smoothed finite element methods (S-FEM): an overview and recent developments

W Zeng, GR Liu - Archives of Computational Methods in Engineering, 2018 - Springer
The smoothed finite element methods (S-FEM) are a family of methods formulated through
carefully designed combinations of the standard FEM and some of the techniques from the …

An effective analytical method for buckling solutions of a restrained FGM nonlocal beam

Ö Civalek, B Uzun, MÖ Yaylı - Computational and Applied Mathematics, 2022 - Springer
This work studies the size-dependent stability analysis of restrained nanobeam with
functionally graded material via nonlocal Euler–Bernoulli beam theory using the Fourier …

An extended isogeometric thin shell analysis based on Kirchhoff–Love theory

N Nguyen-Thanh, N Valizadeh, MN Nguyen… - Computer Methods in …, 2015 - Elsevier
An extended isogeometric element formulation (XIGA) for analysis of through-the-thickness
cracks in thin shell structures is developed. The discretization is based on Non-Uniform …

Polygon scaled boundary finite elements for crack propagation modelling

ET Ooi, C Song, F Tin‐Loi… - International journal for …, 2012 - Wiley Online Library
An automatic crack propagation modelling technique using polygon elements is presented.
A simple algorithm to generate a polygon mesh from a Delaunay triangulated mesh is …

Element-wise fracture algorithm based on rotation of edges

P Areias, T Rabczuk, D Dias-da-Costa - Engineering fracture mechanics, 2013 - Elsevier
We propose an alternative, simpler algorithm for FEM-based computational fracture in brittle,
quasi-brittle and ductile materials based on edge rotations. Rotation axes are the crack front …

An adaptive singular ES-FEM for mechanics problems with singular field of arbitrary order

H Nguyen-Xuan, GR Liu, S Bordas, S Natarajan… - Computer Methods in …, 2013 - Elsevier
This paper presents a singular edge-based smoothed finite element method (sES-FEM) for
mechanics problems with singular stress fields of arbitrary order. The sES-FEM uses a basic …

Analysis of laminated composite plates integrated with piezoelectric sensors and actuators using higher-order shear deformation theory and isogeometric finite …

P Phung-Van, L De Lorenzis, CH Thai… - Computational Materials …, 2015 - Elsevier
This paper presents a simple and effective formulation based on Isogeometric Analysis (IGA)
and Higher-order Shear Deformation Theory (HSDT) to investigate static, free vibration and …

[HTML][HTML] Variational damage model: A novel consistent approach to fracture

H Ren, X Zhuang, H Zhu, T Rabczuk - Computers & Structures, 2024 - Elsevier
The computational modeling of fractures in solids using damage mechanics faces challenge
when dealing with complex crack topologies. One effective approach to address this …

Multiscale modeling of material failure: Theory and computational methods

PR Budarapu, X Zhuang, T Rabczuk… - Advances in applied …, 2019 - Elsevier
Material behavior and microstructure geometries at small scales strongly influence the
physical behavior at higher scales. For example, defects like cracks and dislocations evolve …