A computationally efficient ductile damage model accounting for nucleation and microinertia at high triaxialities
Abstract
The computational formulation of a micromechanical material model for the dynamic failure of ductile metals is presented in this paper. The statistical nature of porosity initiation is accounted for by introducing an arbitrary probability density function which describes the pores nucleation pressures. Each micropore within the representative volume element is modeled as a thick spherical shell made of plastically incompressible material. The treatment of porosity by a distribution of thickwalled spheres also allows for the inclusion of microinertia effects under conditions of shock and dynamic loading. The second order ordinary differential equation governing the microscopic porosity evolution is solved with a robust implicit procedure. A new Chebyshev collocation method is employed to approximate the porosity distribution and remapping is used to optimize memory usage. The adaptive approximation of the porosity distribution leads to a reduction of computational time and memory usage of up to two orders of magnitude. Moreover, the proposed model affords consistent performance: changing the nucleation pressure probability density function and/or the applied strain rate does not reduce accuracy or computational efficiency of the material model. The numerical performance of the model and algorithms presented is tested against three problems for high density tantalum: single void, onedimensional uniaxialmore »
 Authors:

 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 Laboratory Directed Research and Development (LDRD) Program; USDOEUSDOD Joint Munitions Technology Development Program (JMP)
 OSTI Identifier:
 1419761
 Alternate Identifier(s):
 OSTI ID: 1440436; OSTI ID: 1548763
 Report Number(s):
 LAUR1730963; LAUR1726276
Journal ID: ISSN 00457825
 Grant/Contract Number:
 AC5206NA25396; 20170033DR
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Computer Methods in Applied Mechanics and Engineering
 Additional Journal Information:
 Journal Volume: 333; Journal Issue: C; Journal ID: ISSN 00457825
 Publisher:
 Elsevier
 Country of Publication:
 United States
 Language:
 English
 Subject:
 42 ENGINEERING; Microinertia; High strain rate; J22 plasticity; Computational formulation; Chebyshev collocation; Porosity distribution
Citation Formats
Versino, Daniele, and Bronkhorst, Curt Allan. A computationally efficient ductile damage model accounting for nucleation and microinertia at high triaxialities. United States: N. p., 2018.
Web. doi:10.1016/j.cma.2018.01.028.
Versino, Daniele, & Bronkhorst, Curt Allan. A computationally efficient ductile damage model accounting for nucleation and microinertia at high triaxialities. United States. doi:10.1016/j.cma.2018.01.028.
Versino, Daniele, and Bronkhorst, Curt Allan. Wed .
"A computationally efficient ductile damage model accounting for nucleation and microinertia at high triaxialities". United States. doi:10.1016/j.cma.2018.01.028. https://www.osti.gov/servlets/purl/1419761.
@article{osti_1419761,
title = {A computationally efficient ductile damage model accounting for nucleation and microinertia at high triaxialities},
author = {Versino, Daniele and Bronkhorst, Curt Allan},
abstractNote = {The computational formulation of a micromechanical material model for the dynamic failure of ductile metals is presented in this paper. The statistical nature of porosity initiation is accounted for by introducing an arbitrary probability density function which describes the pores nucleation pressures. Each micropore within the representative volume element is modeled as a thick spherical shell made of plastically incompressible material. The treatment of porosity by a distribution of thickwalled spheres also allows for the inclusion of microinertia effects under conditions of shock and dynamic loading. The second order ordinary differential equation governing the microscopic porosity evolution is solved with a robust implicit procedure. A new Chebyshev collocation method is employed to approximate the porosity distribution and remapping is used to optimize memory usage. The adaptive approximation of the porosity distribution leads to a reduction of computational time and memory usage of up to two orders of magnitude. Moreover, the proposed model affords consistent performance: changing the nucleation pressure probability density function and/or the applied strain rate does not reduce accuracy or computational efficiency of the material model. The numerical performance of the model and algorithms presented is tested against three problems for high density tantalum: single void, onedimensional uniaxial strain, and twodimensional plate impact. Here, the results using the integration and algorithmic advances suggest a significant improvement in computational efficiency and accuracy over previous treatments for dynamic loading conditions.},
doi = {10.1016/j.cma.2018.01.028},
journal = {Computer Methods in Applied Mechanics and Engineering},
number = C,
volume = 333,
place = {United States},
year = {2018},
month = {1}
}
Web of Science