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Title: A phase-field formulation for dynamic cohesive fracture

Abstract

We extend a phase-field/gradient damage formulation for cohesive fracture to the dynamic case. The model is characterized by a regularized fracture energy that is linear in the damage field, as well as non-polynomial degradation functions. Two categories of degradation functions are examined, and a process to derive a given degradation function based on a local stress-strain response in the cohesive zone is presented. The resulting model is characterized by a linear elastic regime prior to the onset of damage, and controlled strain-softening thereafter. The governing equations are derived according to macro- and microforce balance theories, naturally accounting for the irreversible nature of the fracture process by introducing suitable constraints for the kinetics of the underlying microstructural changes. The model is complemented by an efficient staggered solution scheme based on an augmented Lagrangian method. Numerical examples demonstrate that the proposed model is a robust and effective method for simulating cohesive crack propagation, with particular emphasis on dynamic fracture.

Authors:
 [1]; ORCiD logo [1];  [1];  [2]; ORCiD logo [1]
  1. Duke Univ., Durham, NC (United States)
  2. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Publication Date:
Research Org.:
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1498479
Report Number(s):
SAND-2018-13647J
Journal ID: ISSN 0045-7825; 670638
Grant/Contract Number:  
AC04-94AL85000
Resource Type:
Accepted Manuscript
Journal Name:
Computer Methods in Applied Mechanics and Engineering
Additional Journal Information:
Journal Volume: 348; Journal Issue: C; Journal ID: ISSN 0045-7825
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING; Phase-field models; Cohesive fracture; Dynamic fracture; Gradient models; Damage

Citation Formats

Geelen, Rudy J. M., Liu, Yingjie, Hu, Tianchen, Tupek, Michael R., and Dolbow, John E. A phase-field formulation for dynamic cohesive fracture. United States: N. p., 2019. Web. doi:10.1016/j.cma.2019.01.026.
Geelen, Rudy J. M., Liu, Yingjie, Hu, Tianchen, Tupek, Michael R., & Dolbow, John E. A phase-field formulation for dynamic cohesive fracture. United States. doi:10.1016/j.cma.2019.01.026.
Geelen, Rudy J. M., Liu, Yingjie, Hu, Tianchen, Tupek, Michael R., and Dolbow, John E. Tue . "A phase-field formulation for dynamic cohesive fracture". United States. doi:10.1016/j.cma.2019.01.026.
@article{osti_1498479,
title = {A phase-field formulation for dynamic cohesive fracture},
author = {Geelen, Rudy J. M. and Liu, Yingjie and Hu, Tianchen and Tupek, Michael R. and Dolbow, John E.},
abstractNote = {We extend a phase-field/gradient damage formulation for cohesive fracture to the dynamic case. The model is characterized by a regularized fracture energy that is linear in the damage field, as well as non-polynomial degradation functions. Two categories of degradation functions are examined, and a process to derive a given degradation function based on a local stress-strain response in the cohesive zone is presented. The resulting model is characterized by a linear elastic regime prior to the onset of damage, and controlled strain-softening thereafter. The governing equations are derived according to macro- and microforce balance theories, naturally accounting for the irreversible nature of the fracture process by introducing suitable constraints for the kinetics of the underlying microstructural changes. The model is complemented by an efficient staggered solution scheme based on an augmented Lagrangian method. Numerical examples demonstrate that the proposed model is a robust and effective method for simulating cohesive crack propagation, with particular emphasis on dynamic fracture.},
doi = {10.1016/j.cma.2019.01.026},
journal = {Computer Methods in Applied Mechanics and Engineering},
number = C,
volume = 348,
place = {United States},
year = {2019},
month = {2}
}

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This content will become publicly available on February 5, 2020
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