A floating node method for the modelling of discontinuities in composites

BY Chen, ST Pinho, NV De Carvalho, PM Baiz… - Engineering Fracture …, 2014‏ - Elsevier
This paper presents a new method suitable for modelling multiple discontinuities within a
finite element. The architecture of the proposed method is similar to that of the phantom …

An adaptive mesh refinement algorithm for phase-field fracture models: Application to brittle, cohesive, and dynamic fracture

A Gupta, UM Krishnan, TK Mandal… - Computer Methods in …, 2022‏ - Elsevier
Phase-field models (PFMs) have proven to accurately predict complex crack patterns like
crack branching, merging, and crack fragmentation, but they are computationally costly …

Adaptive phase field method for quasi-static brittle fracture using a recovery based error indicator and quadtree decomposition

C Jansari, K Kannan, RK Annabattula… - Engineering Fracture …, 2019‏ - Elsevier
An adaptive phase field method is proposed for crack propagation in brittle materials under
quasi-static loading. The adaptive refinement is based on the recovery type error indicator …

A field-enriched finite element method for simulating the failure process of rocks with different defects

LF Wang, XP Zhou - Computers & Structures, 2021‏ - Elsevier
A field-enriched finite element method is proposed in this paper to simulate the failure
process of rocks. According to the different types of defects, the proposed method can select …

Stable 3D XFEM/vector level sets for non‐planar 3D crack propagation and comparison of enrichment schemes

K Agathos, G Ventura, E Chatzi… - International Journal for …, 2018‏ - Wiley Online Library
We present a three‐dimensional vector level set method coupled to a recently developed
stable extended finite element method (XFEM). We further investigate a new enrichment …

Stable 3D extended finite elements with higher order enrichment for accurate non planar fracture

K Agathos, E Chatzi, SPA Bordas - Computer Methods in Applied …, 2016‏ - Elsevier
An extended finite element method (XFEM) for three dimensional (3D) non-planar linear
elastic fracture is introduced, which provides optimal convergence through the use of …

A well‐conditioned and optimally convergent XFEM for 3D linear elastic fracture

K Agathos, E Chatzi, SPA Bordas… - … Journal for Numerical …, 2016‏ - Wiley Online Library
A variation of the extended finite element method for three‐dimensional fracture mechanics
is proposed. It utilizes a novel form of enrichment and point‐wise and integral matching of …

Error-controlled adaptive extended finite element method for 3D linear elastic crack propagation

Y **, OA González-Estrada, O Pierard… - Computer methods in …, 2017‏ - Elsevier
We present a simple error estimation and mesh adaptation approach for 3D linear elastic
crack propagation simulations using the eXtended Finite Element Method (X-FEM). A global …

Adaptive enriched geometry independent field approximation for 2D time-harmonic acoustics

C Jansari, J Videla, S Natarajan, SPA Bordas… - Computers & …, 2022‏ - Elsevier
Isogeometric Analysis (IGA) provides an alternative to Lagrange based finite element
methods by representing the geometry and field with the same Non-Uniform Rational B …

Analysis of cracked functionally graded piezoelectric material using XIGA

SK Singh, IV Singh - Engineering Fracture Mechanics, 2020‏ - Elsevier
In this paper, an extended isogeometric analysis (XIGA) is presented to model the crack in
functionally graded piezoelectric materials (FGPMs). The material properties of functionally …