A review of meshless methods for laminated and functionally graded plates and shells

KM Liew, X Zhao, AJM Ferreira - Composite Structures, 2011 - Elsevier
This review focuses mainly on the developments of element-free or meshless methods and
their applications in the analysis of composite structures. This review is organized as follows …

Overview and recent advances in natural neighbour Galerkin methods

E Cueto, N Sukumar, B Calvo, MA Martínez… - … methods in engineering, 2003 - Springer
In this paper, a survey of the most relevant advances in natural neighbour Galerkin methods
is presented. In these methods (also known as natural element methods, NEM), the Sibson …

Gradient damage vs phase-field approaches for fracture: Similarities and differences

R de Borst, CV Verhoosel - Computer Methods in Applied Mechanics and …, 2016 - Elsevier
Gradient-enhanced damage models and phase-field models are seemingly very disparate
approaches to fracture. Whereas gradient-enhanced damage models find their roots in …

[图书][B] Nonlinear finite element analysis of solids and structures

R De Borst, MA Crisfield, JJC Remmers, CV Verhoosel - 2012 - books.google.com
Built upon the two original books by Mike Crisfield and their own lecture notes, renowned
scientist René de Borst and his team offer a thoroughly updated yet condensed edition that …

A critical comparison of nonlocal and gradient-enhanced softening continua

RHJ Peerlings, MGD Geers, R de Borst… - International Journal of …, 2001 - Elsevier
Continuous models of material degradation may cease to produced meaningful results in
the presence of high strain gradients. These gradients may occur for instance in the …

Continuous/discontinuous finite element approximations of fourth-order elliptic problems in structural and continuum mechanics with applications to thin beams and …

G Engel, K Garikipati, TJR Hughes, MG Larson… - Computer Methods in …, 2002 - Elsevier
A new finite element method for fourth-order elliptic partial differential equations is presented
and applied to thin bending theory problems in structural mechanics and to a strain gradient …

An isogeometric analysis approach to gradient damage models

CV Verhoosel, MA Scott, TJR Hughes… - … Journal for Numerical …, 2011 - Wiley Online Library
Continuum damage formulations are commonly used for the simulation of diffuse fracture
processes. Implicit gradient damage models are employed to avoid the spurious mesh …

[HTML][HTML] Fracture and damage in quasi-brittle materials: A comparison of approaches

R De Borst - Theoretical and Applied Fracture Mechanics, 2022 - Elsevier
A overview is given of different approaches to simulate and predict crack propagation in
quasi-brittle materials, pointing out their merits, disadvantages and complementarity …

Some recent issues in computational failure mechanics

R Borst - International Journal for Numerical Methods in …, 2001 - Wiley Online Library
An overview is given of some recent developments in computational modelling of
localization and failure phenomena in solids. Cohesive‐zone models are considered as well …

A classification of higher-order strain-gradient models–linear analysis

H Askes, ASJ Suiker, LJ Sluys - Archive of Applied Mechanics, 2002 - Springer
The use of higher-order strain-gradient models in mechanics is studied. First, existing
second-gradient models from the literature are investigated analytically. In general, two …