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Title: An anisotropic damage model based on dislocation-mediated nucleation of cracks under high-rate compression

Abstract

In this report, we developed a thermodynamically-consistent, rate-dependent micromechanics model for brittle damage nucleated by dislocation plasticity applicable for large deformations. Dislocation substructure evolution was used to inform a nucleation criterion for a microcrack. Under global compression, the sliding of a microcrack induces formation of wing cracks. Effective stress drives dynamic growth of these cracks under a 3D stress state, resulting in an anisotropic material stiffness. The model was also advanced to predict grain size dependence of a polycrystalline solid. Internal variables were constrained based on the laws of thermodynamics. Material constants were calibrated for polycrystalline beryllium to demonstrate the applicability of the model to simulate dynamic failure under compression. We demonstrate the versatility of the model to capture brittle to ductile transition governed by temperature and strain rate. The predictive capability of the model to simulate failure stress and failure strain is compared with dynamic and quasistatic data on beryllium.

Authors:
ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [1]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1581276
Alternate Identifier(s):
OSTI ID: 1580118
Report Number(s):
LA-UR-19-25002
Journal ID: ISSN 0022-5096; TRN: US2100870
Grant/Contract Number:  
89233218CNA000001
Resource Type:
Accepted Manuscript
Journal Name:
Journal of the Mechanics and Physics of Solids
Additional Journal Information:
Journal Volume: 137; Journal Issue: C; Journal ID: ISSN 0022-5096
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; HCP; fracture; cracks; kinetics; damage; viscoplastic

Citation Formats

Daphalapurkar, Nitin P., Luscher, Darby J., Versino, Daniele, Margolin, Len, and Hunter, Abigail. An anisotropic damage model based on dislocation-mediated nucleation of cracks under high-rate compression. United States: N. p., 2019. Web. doi:10.1016/j.jmps.2019.103818.
Daphalapurkar, Nitin P., Luscher, Darby J., Versino, Daniele, Margolin, Len, & Hunter, Abigail. An anisotropic damage model based on dislocation-mediated nucleation of cracks under high-rate compression. United States. https://doi.org/10.1016/j.jmps.2019.103818
Daphalapurkar, Nitin P., Luscher, Darby J., Versino, Daniele, Margolin, Len, and Hunter, Abigail. Fri . "An anisotropic damage model based on dislocation-mediated nucleation of cracks under high-rate compression". United States. https://doi.org/10.1016/j.jmps.2019.103818. https://www.osti.gov/servlets/purl/1581276.
@article{osti_1581276,
title = {An anisotropic damage model based on dislocation-mediated nucleation of cracks under high-rate compression},
author = {Daphalapurkar, Nitin P. and Luscher, Darby J. and Versino, Daniele and Margolin, Len and Hunter, Abigail},
abstractNote = {In this report, we developed a thermodynamically-consistent, rate-dependent micromechanics model for brittle damage nucleated by dislocation plasticity applicable for large deformations. Dislocation substructure evolution was used to inform a nucleation criterion for a microcrack. Under global compression, the sliding of a microcrack induces formation of wing cracks. Effective stress drives dynamic growth of these cracks under a 3D stress state, resulting in an anisotropic material stiffness. The model was also advanced to predict grain size dependence of a polycrystalline solid. Internal variables were constrained based on the laws of thermodynamics. Material constants were calibrated for polycrystalline beryllium to demonstrate the applicability of the model to simulate dynamic failure under compression. We demonstrate the versatility of the model to capture brittle to ductile transition governed by temperature and strain rate. The predictive capability of the model to simulate failure stress and failure strain is compared with dynamic and quasistatic data on beryllium.},
doi = {10.1016/j.jmps.2019.103818},
journal = {Journal of the Mechanics and Physics of Solids},
number = C,
volume = 137,
place = {United States},
year = {2019},
month = {12}
}

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