XLME interpolants, a seamless bridge between XFEM and enriched meshless methods

F Amiri, C Anitescu, M Arroyo, SPA Bordas… - Computational …, 2014 - Springer
In this paper, we develop a method based on local maximum entropy shape functions
together with enrichment functions used in partition of unity methods to discretize problems …

The MLS-based numerical manifold method with applications to crack analysis

H Zheng, F Liu, C Li - International Journal of Fracture, 2014 - Springer
In order to solve problems, from a continuum point of view and in a unified way, involving
continuum and discontinuum deformation, and small deformation and large movement, the …

Crack growth modeling and simulation of a peridynamic fatigue model based on numerical and analytical solution approaches

DJ Bang, A Ince, E Oterkus, S Oterkus - Theoretical and Applied Fracture …, 2021 - Elsevier
Fatigue crack growth assessment of 2024-T3 aluminum alloy is carried out on the basis of a
recently developed peridynamic fatigue model. The governing remaining-life equation of the …

A review of virtual cutting methods and technology in deformable objects

M Wang, Y Ma - The International Journal of Medical Robotics …, 2018 - Wiley Online Library
Background Virtual cutting of deformable objects has been a research topic for more than a
decade and has been used in many areas, especially in surgery simulation. Methods We …

[HTML][HTML] On tracking arbitrary crack path with complex variable meshless methods

DM Li, JH Liu, FH Nie, CA Featherston, Z Wu - Computer Methods in …, 2022 - Elsevier
This study presents a numerical modelling framework based on complex variable meshless
methods, which can accurately and efficiently track arbitrary crack paths in two-dimensional …

Multi field simulation of fracture

L Simoni, BA Schrefler - Advances in applied mechanics, 2014 - Elsevier
We present as areas of interest for multifield fracturing thermomechanical fracturing, fluid
pressure induced isothermal and nonisothermal fracturing, fracturing due to radiation …

Molecular dynamics/XFEM coupling by a three-dimensional extended bridging domain with applications to dynamic brittle fracture

H Talebi, M Silani, SPA Bordas… - International Journal …, 2013 - dl.begellhouse.com
We propose a method to couple a three-dimensional continuum domain to a molecular
dynamics domain to simulate propagating cracks in dynamics. The continuum domain is …

A numerical integration strategy of meshless numerical manifold method based on physical cover and applications to linear elastic fractures

W Li, X Yu, S Lin, X Qu, X Sun - Engineering Analysis with Boundary …, 2022 - Elsevier
The meshless numerical manifold method (MNMM) inherits two covers of the numerical
manifold method. A mathematical cover is composed of nodes' influence domains and a …

An enriched improved complex variable element-free Galerkin method for efficient fracture analysis of orthotropic materials

JH Pan, DM Li, XB Luo, W Zhu - Theoretical and Applied Fracture …, 2022 - Elsevier
The fracture problem of orthotropic materials has been widely concerned by researchers in
the fields of mechanics and engineering. The meshless method using nodes to discrete the …

[图书][B] Partition of unity methods

SPA Bordas, A Menk, S Natarajan - 2023 - books.google.com
PARTITION OF UNITY METHODS Master the latest tool in computational mechanics with
this brand-new resource from distinguished leaders in the field While it is the number one …