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  • Validation of strain-rate and temperaturedependent plasticity models of copper

    Biswajit Banerjee

    Center for the Simulation of Accidental Fires and ExplosionsUniversity of Utah

    7th World Conference on Computational Mechanics, 2006

    Biswajit Banerjee (University of Utah) Validation of Plasticity Models WCCM VII - 2006 1 / 32

  • Outline

    1 MotivationThe ScenarioPrevious Work

    2 Approach

    3 Models

    4 Model Validation

    5 Taylor Impact Simulations

    6 Copper Clad Rate Stick Simulations

    Biswajit Banerjee (University of Utah) Validation of Plasticity Models WCCM VII - 2006 2 / 32

  • Motivation

    Outline

    1 MotivationThe ScenarioPrevious Work

    2 Approach

    3 Models

    4 Model Validation

    5 Taylor Impact Simulations

    6 Copper Clad Rate Stick Simulations

    Biswajit Banerjee (University of Utah) Validation of Plasticity Models WCCM VII - 2006 3 / 32

  • Motivation The Scenario

    Explosive Deformation of a Cylinder

    Uintah Simulations. Courtesy: Jim Guilkey, U. of Utah.

    Biswajit Banerjee (University of Utah) Validation of Plasticity Models WCCM VII - 2006 4 / 32

  • Motivation The Scenario

    Crushing of a Foam

    Uintah Simulations.

    Biswajit Banerjee (University of Utah) Validation of Plasticity Models WCCM VII - 2006 5 / 32

  • Motivation Previous Work

    Previous Verification and Validation Efforts

    Common validation tests:One-dimensional Kolsky bar compression, shear, tension.Taylor impact tests.Flyer plate impact tests.

    Wilkins and Guinan (1973).Comparisons of Taylor impact tests with HEMP simulations forpure copper.Linear hardening plasticity.

    Gust (1982).Comparisons of high-temperature Taylor impact tests withEPIC simulations for ETP copper.Steinberg-Cochran-Guinan model of plasticity.

    Biswajit Banerjee (University of Utah) Validation of Plasticity Models WCCM VII - 2006 6 / 32

  • Motivation Previous Work

    Previous Verification and Validation Efforts

    Common validation tests:One-dimensional Kolsky bar compression, shear, tension.Taylor impact tests.Flyer plate impact tests.

    Wilkins and Guinan (1973).Comparisons of Taylor impact tests with HEMP simulations forpure copper.Linear hardening plasticity.

    Gust (1982).Comparisons of high-temperature Taylor impact tests withEPIC simulations for ETP copper.Steinberg-Cochran-Guinan model of plasticity.

    Biswajit Banerjee (University of Utah) Validation of Plasticity Models WCCM VII - 2006 6 / 32

  • Motivation Previous Work

    Previous Verification and Validation Efforts

    Common validation tests:One-dimensional Kolsky bar compression, shear, tension.Taylor impact tests.Flyer plate impact tests.

    Wilkins and Guinan (1973).Comparisons of Taylor impact tests with HEMP simulations forpure copper.Linear hardening plasticity.

    Gust (1982).Comparisons of high-temperature Taylor impact tests withEPIC simulations for ETP copper.Steinberg-Cochran-Guinan model of plasticity.

    Biswajit Banerjee (University of Utah) Validation of Plasticity Models WCCM VII - 2006 6 / 32

  • Motivation Previous Work

    Previous Verification and Validation Efforts

    Common validation tests:One-dimensional Kolsky bar compression, shear, tension.Taylor impact tests.Flyer plate impact tests.

    Wilkins and Guinan (1973).Comparisons of Taylor impact tests with HEMP simulations forpure copper.Linear hardening plasticity.

    Gust (1982).Comparisons of high-temperature Taylor impact tests withEPIC simulations for ETP copper.Steinberg-Cochran-Guinan model of plasticity.

    Biswajit Banerjee (University of Utah) Validation of Plasticity Models WCCM VII - 2006 6 / 32

  • Motivation Previous Work

    Previous Verification and Validation Efforts

    Common validation tests:One-dimensional Kolsky bar compression, shear, tension.Taylor impact tests.Flyer plate impact tests.

    Wilkins and Guinan (1973).Comparisons of Taylor impact tests with HEMP simulations forpure copper.Linear hardening plasticity.

    Gust (1982).Comparisons of high-temperature Taylor impact tests withEPIC simulations for ETP copper.Steinberg-Cochran-Guinan model of plasticity.

    Biswajit Banerjee (University of Utah) Validation of Plasticity Models WCCM VII - 2006 6 / 32

  • Motivation Previous Work

    Previous Verification and Validation Efforts

    Common validation tests:One-dimensional Kolsky bar compression, shear, tension.Taylor impact tests.Flyer plate impact tests.

    Wilkins and Guinan (1973).Comparisons of Taylor impact tests with HEMP simulations forpure copper.Linear hardening plasticity.

    Gust (1982).Comparisons of high-temperature Taylor impact tests withEPIC simulations for ETP copper.Steinberg-Cochran-Guinan model of plasticity.

    Biswajit Banerjee (University of Utah) Validation of Plasticity Models WCCM VII - 2006 6 / 32

  • Motivation Previous Work

    Previous Verification and Validation Efforts

    Common validation tests:One-dimensional Kolsky bar compression, shear, tension.Taylor impact tests.Flyer plate impact tests.

    Wilkins and Guinan (1973).Comparisons of Taylor impact tests with HEMP simulations forpure copper.Linear hardening plasticity.

    Gust (1982).Comparisons of high-temperature Taylor impact tests withEPIC simulations for ETP copper.Steinberg-Cochran-Guinan model of plasticity.

    Biswajit Banerjee (University of Utah) Validation of Plasticity Models WCCM VII - 2006 6 / 32

  • Motivation Previous Work

    Previous Verification and Validation Efforts

    Common validation tests:One-dimensional Kolsky bar compression, shear, tension.Taylor impact tests.Flyer plate impact tests.

    Wilkins and Guinan (1973).Comparisons of Taylor impact tests with HEMP simulations forpure copper.Linear hardening plasticity.

    Gust (1982).Comparisons of high-temperature Taylor impact tests withEPIC simulations for ETP copper.Steinberg-Cochran-Guinan model of plasticity.

    Biswajit Banerjee (University of Utah) Validation of Plasticity Models WCCM VII - 2006 6 / 32

  • Motivation Previous Work

    Previous Verification and Validation Efforts

    Common validation tests:One-dimensional Kolsky bar compression, shear, tension.Taylor impact tests.Flyer plate impact tests.

    Wilkins and Guinan (1973).Comparisons of Taylor impact tests with HEMP simulations forpure copper.Linear hardening plasticity.

    Gust (1982).Comparisons of high-temperature Taylor impact tests withEPIC simulations for ETP copper.Steinberg-Cochran-Guinan model of plasticity.

    Biswajit Banerjee (University of Utah) Validation of Plasticity Models WCCM VII - 2006 6 / 32

  • Motivation Previous Work

    Previous Verification and Validation Efforts

    Common validation tests:One-dimensional Kolsky bar compression, shear, tension.Taylor impact tests.Flyer plate impact tests.

    Wilkins and Guinan (1973).Comparisons of Taylor impact tests with HEMP simulations forpure copper.Linear hardening plasticity.

    Gust (1982).Comparisons of high-temperature Taylor impact tests withEPIC simulations for ETP copper.Steinberg-Cochran-Guinan model of plasticity.

    Biswajit Banerjee (University of Utah) Validation of Plasticity Models WCCM VII - 2006 6 / 32

  • Motivation Previous Work

    Previous Verification and Validation Efforts

    Johnson and Cook (1983, 1985), Johnson and Holmquist(1988).

    Comparisons of one-dimensional experimental data withJohnson-Cook model for OFHC copper.Comparisons of Taylor impact tests with EPIC simulations.

    Zerilli and Armstrong (1987)Comparisons of one-dimensional experiments and Taylorimpact with Zerilli-Armstrong model.Comparison with Johnson-Cook model.

    Zocher et al. (2000)Taylor impact tests on OFHC copper compared withsimulations using CHAD.Johnson-Cook, Mechanical Threshold Stress, andSteinberg-Cochran-Guinan models compared.

    Biswajit Banerjee (University of Utah) Validation of Plasticity Models WCCM VII - 2006 7 / 32

  • Motivation Previous Work

    Previous Verification and Validation Efforts

    Johnson and Cook (1983, 1985), Johnson and Holmquist(1988).

    Comparisons of one-dimensional experimental data withJohnson-Cook model for OFHC copper.Comparisons of Taylor impact tests with EPIC simulations.

    Zerilli and Armstrong (1987)Comparisons of one-dimensional experiments and Taylorimpact with Zerilli-Armstrong model.Comparison with Johnson-Cook model.

    Zocher et al. (2000)Taylor impact tests on OFHC copper compared withsimulations using CHAD.Johnson-Cook, Mechanical Threshold Stress, andSteinberg-Cochran-Guinan models compared.

    Biswajit Banerjee (University of Utah) Validation of Plasticity Models WCCM VII - 2006 7 / 32

  • Motivation Previous Work

    Previous Verification and Validation Efforts

    Johnson and Cook (1983, 1985), Johnson and Holmquist(1988).

    Comparisons of one-dimensional experimental data withJohnson-Cook model for OFHC copper.Comparisons of Taylor impact tests with EPIC simulations.

    Zerilli and Armstrong (1987)Comparisons of one-dimensional experiments and Taylorimpact with Zerilli-Armstrong model.Comparison with Johnson-Cook model.

    Zocher et al. (2000)Taylor impact tests on OFHC copper compared withsimulations using CHAD.Johnson-Cook, Mechanical Threshold Stress, andSteinberg-Cochran-Guinan models compared.

    Biswajit Banerjee (University of Utah) Validation of Plasticity Models WCCM VII - 2006 7 / 32

  • Motivation Previous Work

    Previous Verification and Validation Efforts

    Johnson and Cook (1983, 1985), Johnson and Holmquist(1988).

    Comparisons of one-dimensional experimental data withJohnson-Cook model for OFHC copper.Comparison