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Consistent explicit
formulation for adiabatic thermal softening of Johnson–Cook
model with improved numerical stability for implicit
solver
Samy Abu-Salih and Rami Masri |
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Vol. 19 (2024), No. 4, 685–708
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Abstract |
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We present a consistent explicit formulation of the adiabatic thermal softening effect. This formulation is analytically derived from the well-known thermoviscoplastic Johnson–Cook model and is expressed only in terms of the effective plastic strain and strain-rate and does not depend on the temperature. In extreme impact loading cases, the explicit formulation shows improvement in the numerical stability of simulations carried out with implicit solver and leads to more consistent results. The proposed explicit formulation can be considered as a new consistent thermoviscoplastic constitutive model that analytically reflects the contribution of the strain and strain-rate to the adiabatic thermal softening effect. To validate the accuracy of the proposed explicit model, numerical simulations of two bench-mark time-dependent problems are carried out in ABAQUS. Moreover, due to the explicit formulation, the effect of adiabatic thermal softening on bursting pressure and expansion of a spherical thin shell is analytically derived. |
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Keywords
thermoviscoplastic, Johnson–Cook model, high strain-rate,
adiabatic thermal response, dynamic spherical cavity
expansion, thermal softening effect, Taylor impact bar test
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Milestones
Received: 12 October 2023
Revised: 27 May 2024
Accepted: 8 July 2024
Published: 27 September 2024
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Authors |
| Samy Abu-Salih | |
| Mechanical Engineering
Department Braude College of Engineering 2161002 Karmiel Israel |
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| Rami Masri | |
| Mechanical Engineering
Department Braude College of Engineering 2161002 Karmiel Israel |
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| © 2024 MSP (Mathematical Sciences Publishers). |
