A framework to model the fatigue behavior of brittle materials based on a variational phase-field approach
A novel variational framework to model the fatigue behavior of brittle materials based on a
phase-field approach to fracture is presented. The standard regularized free energy …
phase-field approach to fracture is presented. The standard regularized free energy …
Arbitrary order 2D virtual elements for polygonal meshes: part I, elastic problem
E Artioli, L Beirão da Veiga, C Lovadina… - Computational …, 2017 - Springer
The present work deals with the formulation of a virtual element method for two dimensional
structural problems. The contribution is split in two parts: in part I, the elastic problem is …
structural problems. The contribution is split in two parts: in part I, the elastic problem is …
A phenomenological approach to fatigue with a variational phase-field model: The one-dimensional case
We propose a new variational fatigue phase-field model. The basic idea of the model is to let
the fracture energy decrease as a suitably defined accumulated strain measure increases …
the fracture energy decrease as a suitably defined accumulated strain measure increases …
Comparison of phase-field models of fracture coupled with plasticity
In the last few years, several authors have proposed different phase-field models aimed at
describing ductile fracture phenomena. Most of these models fall within the class of …
describing ductile fracture phenomena. Most of these models fall within the class of …
A structure-preserving, operator splitting scheme for reaction-diffusion equations with detailed balance
In this paper, we propose and analyze a positivity-preserving, energy stable numerical
scheme for a certain type of reaction-diffusion systems involving the Law of Mass Action with …
scheme for a certain type of reaction-diffusion systems involving the Law of Mass Action with …
Coupling damage and plasticity for a phase-field regularisation of brittle, cohesive and ductile fracture: One-dimensional examples
Plasticity and damage are two fundamental phenomena in nonlinear solid mechanics
associated with the development of inelastic deformations and the reduction of the material …
associated with the development of inelastic deformations and the reduction of the material …
Bayesian inversion for unified ductile phase-field fracture
The prediction of crack initiation and propagation in ductile failure processes are
challenging tasks for the design and fabrication of metallic materials and structures on a …
challenging tasks for the design and fabrication of metallic materials and structures on a …
Phase-field modeling of fatigue coupled to cyclic plasticity in an energetic formulation
This paper presents a modeling framework to describe the driving mechanisms of cyclic
failure in brittle and ductile materials, including cyclic plasticity and fatigue crack growth. A …
failure in brittle and ductile materials, including cyclic plasticity and fatigue crack growth. A …
On Evolutionary -Convergence for Gradient Systems
A Mielke - Macroscopic and large scale phenomena: coarse …, 2016 - Springer
In these notes we discuss general approaches for rigorously deriving limits of generalized
gradient flows. Our point of view is that a generalized gradient system is defined in terms of …
gradient flows. Our point of view is that a generalized gradient system is defined in terms of …
Uniaxial tensile behavior of ultra-high performance fiber-reinforced concrete (uhpfrc): Experiments and modeling
Abstract Ultra-High Performance Fiber-Reinforced Concrete (UHPFRC) is considered a
promising material for many structural applications where high strength and high energy …
promising material for many structural applications where high strength and high energy …