DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Anisotropic plasticity model forms for extruded Al 7079: Part II, validation

Abstract

This is the second part of a two-part contribution on modeling of the anisotropic elastic-plastic response of aluminum 7079 from an extruded tube. Part I focused on calibrating a suite of yield and hardening functions from tension test data; Part II concentrates on evaluating those calibrations. Here, a rectangular validation specimen with a blind hole was designed to provide heterogeneous strain fields that exercise the material anisotropy, while at the same time avoiding strain concentrations near sample edges where Digital Image Correlation (DIC) measurements are difficult to make. Specimens were extracted from the tube in four different orientations and tested in tension with stereo-DIC measurements on both sides of the specimen. Corresponding Finite Element Analysis (FEA) with calibrated isotropic (von Mises) and anisotropic (Yld2004-18p) yield functions were also conducted, and both global force-extension curves as well as full-field strains were compared between the experiments and simulations. Specifically, quantitative full-field strain error maps were computed using the DIC-leveling approach proposed by Lava et al. The specimens experienced small deviations from ideal boundary conditions in the experiments, which had a first-order effect on the results. Therefore, the actual experimental boundary conditions had to be applied to the FEA in order to makemore » valid comparisons. The predicted global force-extension curves agreed well with the measurements overall, but were sensitive to the boundary conditions in the nonlinear regime and could not differentiate between the two yield functions. Interrogation of the strain fields both qualitatively and quantitatively showed that the Yld2004-18p model was clearly able to better describe the strain fields on the surface of the specimen compared to the von Mises model. These results justify the increased complexity of the calibration process required for the Yld2004-18p model in applications where capturing the strain field evolution accurately is important, but not if only the global force-extension response of the elastic–plastic region is of interest.« less

Authors:
; ; ; ;
Publication Date:
Research Org.:
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1961700
Alternate Identifier(s):
OSTI ID: 1738930; OSTI ID: 1809270
Report Number(s):
SAND-2020-13626J
Journal ID: ISSN 0020-7683; S0020768320304601; PII: S0020768320304601
Grant/Contract Number:  
NA0003525; AC04-94AL85000
Resource Type:
Published Article
Journal Name:
International Journal of Solids and Structures
Additional Journal Information:
Journal Name: International Journal of Solids and Structures Journal Volume: 213 Journal Issue: C; Journal ID: ISSN 0020-7683
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; anisotropic plasticity; verifi cation and validation; Yld2004-18p; von Mises; Al 7079; digital image correlation; finite element analysis; DIC-leveling approach

Citation Formats

Jones, E. M. C., Corona, E., Jones, A. R., Scherzinger, W. M., and Kramer, S. L. B. Anisotropic plasticity model forms for extruded Al 7079: Part II, validation. United States: N. p., 2021. Web. doi:10.1016/j.ijsolstr.2020.11.031.
Jones, E. M. C., Corona, E., Jones, A. R., Scherzinger, W. M., & Kramer, S. L. B. Anisotropic plasticity model forms for extruded Al 7079: Part II, validation. United States. https://doi.org/10.1016/j.ijsolstr.2020.11.031
Jones, E. M. C., Corona, E., Jones, A. R., Scherzinger, W. M., and Kramer, S. L. B. Mon . "Anisotropic plasticity model forms for extruded Al 7079: Part II, validation". United States. https://doi.org/10.1016/j.ijsolstr.2020.11.031.
@article{osti_1961700,
title = {Anisotropic plasticity model forms for extruded Al 7079: Part II, validation},
author = {Jones, E. M. C. and Corona, E. and Jones, A. R. and Scherzinger, W. M. and Kramer, S. L. B.},
abstractNote = {This is the second part of a two-part contribution on modeling of the anisotropic elastic-plastic response of aluminum 7079 from an extruded tube. Part I focused on calibrating a suite of yield and hardening functions from tension test data; Part II concentrates on evaluating those calibrations. Here, a rectangular validation specimen with a blind hole was designed to provide heterogeneous strain fields that exercise the material anisotropy, while at the same time avoiding strain concentrations near sample edges where Digital Image Correlation (DIC) measurements are difficult to make. Specimens were extracted from the tube in four different orientations and tested in tension with stereo-DIC measurements on both sides of the specimen. Corresponding Finite Element Analysis (FEA) with calibrated isotropic (von Mises) and anisotropic (Yld2004-18p) yield functions were also conducted, and both global force-extension curves as well as full-field strains were compared between the experiments and simulations. Specifically, quantitative full-field strain error maps were computed using the DIC-leveling approach proposed by Lava et al. The specimens experienced small deviations from ideal boundary conditions in the experiments, which had a first-order effect on the results. Therefore, the actual experimental boundary conditions had to be applied to the FEA in order to make valid comparisons. The predicted global force-extension curves agreed well with the measurements overall, but were sensitive to the boundary conditions in the nonlinear regime and could not differentiate between the two yield functions. Interrogation of the strain fields both qualitatively and quantitatively showed that the Yld2004-18p model was clearly able to better describe the strain fields on the surface of the specimen compared to the von Mises model. These results justify the increased complexity of the calibration process required for the Yld2004-18p model in applications where capturing the strain field evolution accurately is important, but not if only the global force-extension response of the elastic–plastic region is of interest.},
doi = {10.1016/j.ijsolstr.2020.11.031},
journal = {International Journal of Solids and Structures},
number = C,
volume = 213,
place = {United States},
year = {Mon Mar 01 00:00:00 EST 2021},
month = {Mon Mar 01 00:00:00 EST 2021}
}

Works referenced in this record:

Multiscale modelling of the response of Ti-6AI-4V sheets under explosive loading
journal, September 2018


Linear transfomation-based anisotropic yield functions
journal, May 2005


Bending of pseudoelastic NiTi tubes
journal, October 2017


The Sandia Fracture Challenge: blind round robin predictions of ductile tearing
journal, January 2014

  • Boyce, B. L.; Kramer, S. L. B.; Fang, H. E.
  • International Journal of Fracture, Vol. 186, Issue 1-2
  • DOI: 10.1007/s10704-013-9904-6

Determination of anisotropy and material hardening for aluminum sheet metal
journal, December 2012


The third Sandia fracture challenge: predictions of ductile fracture in additively manufactured metal
journal, July 2019

  • Kramer, Sharlotte L. B.; Jones, Amanda; Mostafa, Ahmed
  • International Journal of Fracture, Vol. 218, Issue 1-2
  • DOI: 10.1007/s10704-019-00361-1

Finite element modeling using homogeneous anisotropic hardening and application to spring-back prediction
journal, February 2012


Elastic-viscoplastic anisotropic modeling of textured metals and validation using the Taylor cylinder impact test
journal, June 2007


Earing predictions for strongly textured aluminum sheets
journal, December 2010


The second Sandia Fracture Challenge: predictions of ductile failure under quasi-static and moderate-rate dynamic loading
journal, March 2016

  • Boyce, B. L.; Kramer, S. L. B.; Bosiljevac, T. R.
  • International Journal of Fracture, Vol. 198, Issue 1-2
  • DOI: 10.1007/s10704-016-0089-7

A normalized stress invariant-based yield criterion: Modeling and validation
journal, December 2017


Ductile fracture of an aluminum sheet under proportional loading
journal, November 2019

  • Ha, Jinjin; Baral, Madhav; Korkolis, Yannis P.
  • Journal of the Mechanics and Physics of Solids, Vol. 132
  • DOI: 10.1016/j.jmps.2019.103685

Data driven modeling of plastic deformation
journal, May 2017

  • Versino, Daniele; Tonda, Alberto; Bronkhorst, Curt A.
  • Computer Methods in Applied Mechanics and Engineering, Vol. 318
  • DOI: 10.1016/j.cma.2017.02.016

Material hardening of a high ductility aluminum alloy from a bulge test
journal, April 2018


A yield criterion through coupling of quadratic and non-quadratic functions for anisotropic hardening with non-associated flow rule
journal, December 2017


Coupled anisotropic plasticity-ductile damage: Modeling, experimental verification, and application to sheet metal forming simulation
journal, January 2019


A theory of the yielding and plastic flow of anisotropic metals
journal, May 1948

  • Hill, Rodney
  • Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, Vol. 193, Issue 1033, p. 281-297
  • DOI: 10.1098/rspa.1948.0045

DIC Challenge: Developing Images and Guidelines for Evaluating Accuracy and Resolution of 2D Analyses
journal, December 2017


Material response, localization, and failure of an aluminum alloy under combined shear and tension: Part I experiments
journal, September 2019


Material response, localization and failure of an aluminum alloy under combined shear and tension: Part II analysis
journal, September 2019


Stereo-DIC Calibration and Speckle Image Generator Based on FE Formulations
journal, February 2017


Anisotropic yield function of hexagonal materials taking into account texture development and anisotropic hardening
journal, September 2006