Damage Mechanics Challenge: predictions based on the phase field fracture model
File(s)
Published version
Author(s)
Navidtehrani, Yousef
Duddu, Ravindra
Martínez-Pañeda, Emilio
Type
Journal Article
Abstract
In this work, we describe our contribution to the Purdue-SANDIA-LLNL Damage Mechanics
Challenge. The phase field fracture model is adopted to blindly estimate the failure characteristics of the challenge test, an unconventional three-point bending experiment on an additively
manufactured rock resembling a type of gypsum. The model is formulated in a variationally
consistent fashion, incorporating a volumetric–deviatoric strain energy decomposition, and the
numerical implementation adopts a monolithic unconditionally stable solution scheme. Our
focus is on providing an efficient and simple yet rigorous approach capable of delivering
accurate predictions based solely on physical parameters. Model inputs are Young’s modulus
𝐸, Poisson’s ratio 𝜈, toughness 𝐺𝑐 and strength 𝜎𝑐
(as determined by the choice of phase field
length scale 𝓁). We show that a single mode I three-point bending test is sufficient to calibrate
the model, and that the calibrated model can then reliably predict the force versus displacement
responses, crack paths and surface crack morphologies of more intricate three-point bending
experiments that are inherently mixed-mode. Importantly, our peak load, crack trajectory and
crack surface morphology predictions for the challenge test, submitted before the experimental
data was released, show a remarkable agreement with experiments. The characteristics of the
challenge, and how changes in these can impact the predictive abilities of phase field fracture
models, are also discussed.
Challenge. The phase field fracture model is adopted to blindly estimate the failure characteristics of the challenge test, an unconventional three-point bending experiment on an additively
manufactured rock resembling a type of gypsum. The model is formulated in a variationally
consistent fashion, incorporating a volumetric–deviatoric strain energy decomposition, and the
numerical implementation adopts a monolithic unconditionally stable solution scheme. Our
focus is on providing an efficient and simple yet rigorous approach capable of delivering
accurate predictions based solely on physical parameters. Model inputs are Young’s modulus
𝐸, Poisson’s ratio 𝜈, toughness 𝐺𝑐 and strength 𝜎𝑐
(as determined by the choice of phase field
length scale 𝓁). We show that a single mode I three-point bending test is sufficient to calibrate
the model, and that the calibrated model can then reliably predict the force versus displacement
responses, crack paths and surface crack morphologies of more intricate three-point bending
experiments that are inherently mixed-mode. Importantly, our peak load, crack trajectory and
crack surface morphology predictions for the challenge test, submitted before the experimental
data was released, show a remarkable agreement with experiments. The characteristics of the
challenge, and how changes in these can impact the predictive abilities of phase field fracture
models, are also discussed.
Date Issued
2024-05-02
Date Acceptance
2024-03-26
Citation
Engineering Fracture Mechanics, 2024, 301
ISSN
0013-7944
Publisher
Elsevier
Journal / Book Title
Engineering Fracture Mechanics
Volume
301
Copyright Statement
© 2024 The Author(s). Published by Elsevier Ltd. This is an open access article under the CC BY license
(http://creativecommons.org/licenses/by/4.0/).
(http://creativecommons.org/licenses/by/4.0/).
License URL
Identifier
http://dx.doi.org/10.1016/j.engfracmech.2024.110046
Publication Status
Published
Article Number
110046
Date Publish Online
2024-03-28