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Eighty years of the finite element method: Birth, evolution, and future
This document presents comprehensive historical accounts on the developments of finite
element methods (FEM) since 1941, with a specific emphasis on developments related to …
element methods (FEM) since 1941, with a specific emphasis on developments related to …
[HTML][HTML] Gradient elasticity in statics and dynamics: an overview of formulations, length scale identification procedures, finite element implementations and new results
H Askes, EC Aifantis - International Journal of Solids and Structures, 2011 - Elsevier
In this paper, we discuss various formats of gradient elasticity and their performance in static
and dynamic applications. Gradient elasticity theories provide extensions of the classical …
and dynamic applications. Gradient elasticity theories provide extensions of the classical …
Gradient damage vs phase-field approaches for fracture: Similarities and differences
Gradient-enhanced damage models and phase-field models are seemingly very disparate
approaches to fracture. Whereas gradient-enhanced damage models find their roots in …
approaches to fracture. Whereas gradient-enhanced damage models find their roots in …
[KİTAP][B] Fracture and size effect in concrete and other quasibrittle materials
ZP Bazant, J Planas - 2019 - taylorfrancis.com
Fracture and Size Effect in Concrete and Other Quasibrittle Materials is the first in-depth text
on the application of fracture mechanics to the analysis of failure in concrete structures. The …
on the application of fracture mechanics to the analysis of failure in concrete structures. The …
Gradient enhanced damage for quasi‐brittle materials
RHJ Peerlings, R de Borst… - … Journal for numerical …, 1996 - Wiley Online Library
Conventional continuum damage descriptions of material degeneration suffer from loss of
well‐posedness beyond a certain level of accumulated damage. As a consequence …
well‐posedness beyond a certain level of accumulated damage. As a consequence …
A reformulation of strain gradient plasticity
A class of phenomenological strain gradient plasticity theories is formulated to
accommodate more than one material length parameter. The objective is a generalization of …
accommodate more than one material length parameter. The objective is a generalization of …
Fundamental issues in finite element analyses of localization of deformation
Classical continuum models, ie continuum models that do not incorporate an internal length
scale, suffer from excessive mesh dependence when strain‐softening models are used in …
scale, suffer from excessive mesh dependence when strain‐softening models are used in …
Multi-scale second-order computational homogenization of multi-phase materials: a nested finite element solution strategy
VG Kouznetsova, MGD Geers… - Computer methods in …, 2004 - Elsevier
This paper presents the detailed implementation and computational aspects of a novel
second-order computational homogenization procedure, which is suitable for a multi-scale …
second-order computational homogenization procedure, which is suitable for a multi-scale …
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 …
the presence of high strain gradients. These gradients may occur for instance in the …
[KİTAP][B] Bifurcation analysis in geomechanics
J Sulem, IG Vardoulakis - 1995 - taylorfrancis.com
This book examines the experimental and theoretical aspects of bifurcation analysis as
applied to geomechanics. Coverage includes basic continuum mechanics for dry and fluid …
applied to geomechanics. Coverage includes basic continuum mechanics for dry and fluid …