A phase-field formulation for fracture in ductile materials: Finite deformation balance law derivation, plastic degradation, and stress triaxiality effects
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TLDR
In this paper, a cubic degradation function was proposed to provide a stress-strain response prior to crack initiation, which more closely approximates linear elastic behavior, and a derivation of the governing equations in terms of a general energy potential from balance laws that describe the kinematics of both the body and phase-field.About:
This article is published in Computer Methods in Applied Mechanics and Engineering.The article was published on 2016-12-01 and is currently open access. It has received 383 citations till now. The article focuses on the topics: Crack growth resistance curve & Crack closure.read more
Citations
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Crack nucleation in variational phase-field models of brittle fracture
TL;DR: In this paper, the authors use U-and V-notches to show that the nucleation load varies smoothly from that predicted by a strength criterion to that of a toughness criterion when the strength of the stress concentration or singularity varies.
Book ChapterDOI
Phase-field modeling of fracture
TL;DR: This chapter provides an extensive overview of the literature on the so-called phase-field fracture/damage models (PFMs), particularly, for quasi-static and dynamic fracture of brittle and quasi-brittle materials, from the points of view of a computational mechanician.
Journal ArticleDOI
A phase field formulation for hydrogen assisted cracking
TL;DR: In this paper, a phase field modeling framework for hydrogen assisted cracking is presented, based on a coupled mechanical and hydrogen diffusion response, driven by chemical potential gradients, and a hydrogen-dependent fracture energy degradation law grounded on first principles calculations.
Journal ArticleDOI
Phase field modeling of brittle compressive-shear fractures in rock-like materials: A new driving force and a hybrid formulation
TL;DR: In this article, a new phase field model that can simulate well compressive-shear fractures in rock-like materials was proposed, where only the compressive part of the strain is used in the new driving force with consideration of the influence of cohesion and internal friction angle.
Journal ArticleDOI
Phase field modelling of crack propagation in functionally graded materials
TL;DR: A phase field formulation for fracture in functionally graded materials builds upon homogenization theory and accounts for the spatial variation of elastic and fracture properties and identifies material gradient profiles that prevent unstable fracture and enhance crack growth resistance.
References
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Journal ArticleDOI
Continuum Theory of Ductile Rupture by Void Nucleation and Growth: Part I—Yield Criteria and Flow Rules for Porous Ductile Media
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Optimal approximations by piecewise smooth functions and associated variational problems
David Mumford,Jayant Shah +1 more
TL;DR: In this article, the authors introduce and study the most basic properties of three new variational problems which are suggested by applications to computer vision, and study their application in computer vision.
Journal ArticleDOI
Isogeometric analysis : CAD, finite elements, NURBS, exact geometry and mesh refinement
TL;DR: In this article, the concept of isogeometric analysis is proposed and the basis functions generated from NURBS (Non-Uniform Rational B-Splines) are employed to construct an exact geometric model.
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Fracture characteristics of three metals subjected to various strains, strain rates, temperatures and pressures
TL;DR: In this paper, a cumulative-damage fracture model is introduced which expresses the strain to fracture as a function of the strain rate, temperature and pressure, and the model is evaluated by comparing computed results with cylinder impact tests and biaxial (torsion-tension) tests.