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 …
Coupled seepage-damage effect in fractured rock masses: Model development and a case study
Y Zhao, Q Liu, C Zhang, J Liao, H Lin… - International Journal of …, 2021 - Elsevier
The stability of rock engineering is generally dominated by existing seepage, particularly the
seepage evolution due to the rock masses damage. However, the current research …
seepage evolution due to the rock masses damage. However, the current research …
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 …
Phase field modeling of ductile fracture at finite strains: A variational gradient-extended plasticity-damage theory
This work outlines a rigorous variational-based framework for the phase field modeling of
ductile fracture in elastic–plastic solids undergoing large strains. The phase field approach …
ductile fracture in elastic–plastic solids undergoing large strains. The phase field approach …
Phase field modeling of fracture in multi-physics problems. Part I. Balance of crack surface and failure criteria for brittle crack propagation in thermo-elastic solids
C Miehe, LM Schaenzel, H Ulmer - Computer Methods in Applied …, 2015 - Elsevier
This work presents a generalization of recently developed continuum phase field models for
brittle fracture towards fully coupled thermo-mechanical and multi-physics problems at large …
brittle fracture towards fully coupled thermo-mechanical and multi-physics problems at large …
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 …
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 …