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 …
Phase-field modeling of fracture
Fracture is one of the most commonly encountered failure modes of engineering materials
and structures. Prevention of cracking-induced failure is, therefore, a major concern in …
and structures. Prevention of cracking-induced failure is, therefore, a major concern in …
Smoothed particle hydrodynamics (SPH) and its applications in geomechanics: From solid fracture to granular behaviour and multiphase flows in porous media
We present the fundamental concepts of SPH with particular emphasis on its state-of-the-art
applications in geomechanics and geotechnical engineering. In the first part of the paper, we …
applications in geomechanics and geotechnical engineering. In the first part of the paper, we …
A unified phase-field theory for the mechanics of damage and quasi-brittle failure
JY Wu - Journal of the Mechanics and Physics of Solids, 2017 - Elsevier
Being one of the most promising candidates for the modeling of localized failure in solids, so
far the phase-field method has been applied only to brittle fracture with very few exceptions …
far the phase-field method has been applied only to brittle fracture with very few exceptions …
A review on phase-field models of brittle fracture and a new fast hybrid formulation
In this contribution we address the issue of efficient finite element treatment for phase-field
modeling of brittle fracture. We start by providing an overview of the existing quasi-static and …
modeling of brittle fracture. We start by providing an overview of the existing quasi-static and …
A comparative review of XFEM, mixed FEM and phase-field models for quasi-brittle cracking
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 …
computational modelling of quasi-brittle structural failure is presented. Among the many …
Rate-independent systems
A Mielke, T Roubíček - Applied Mathematical Sciences, 2015 - Springer
Our work on rate-independent systems was stimulated by our search for evolutionary
material models for shape-memory alloys that are flexible enough to encompass nonlinear …
material models for shape-memory alloys that are flexible enough to encompass nonlinear …
[图书][B] Continuum damage mechanics: a continuum mechanics approach to the analysis of damage and fracture
S Murakami - 2012 - books.google.com
Recent developments in engineering and technology have brought about serious and
enlarged demands for reliability, safety and economy in wide range of fields such as …
enlarged demands for reliability, safety and economy in wide range of fields such as …
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 …
approaches to fracture. Whereas gradient-enhanced damage models find their roots in …
[图书][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 …