Abstract
Experiments at ten strain rates ranging from 0.001/s to 4/s are carried out on uniaxial tension specimens extracted from DP800 metal sheets. Digital Image Correlation (DIC) is used to obtain surface strain fields and a high speed infrared (IR) camera is employed to measure the corresponding temperature rise due to plastic dissipation. A temperature rise of 60K is witnessed for the highest loading speed whereas minimal temperature rise (<1K) is seen for the lowest loading speed. To minimize the computational cost by treating the temperature as an internal state variable, (effectively avoiding more complex coupled thermo-mechanical analyses), a logarithm based function is proposed that models the transition from isothermal to adiabatic conditions. The proposed function exhibits a higher accuracy compared to literature formulations.
Highlights
Elevated and high strain rate plastic deformation causes a temperature rise in the material due to a significant fraction of mechanical work being converted to heat
In an attempt to obtain meaningful engineering approximations without carrying out a full thermo-mechanical analysis, effective transition functions have been proposed [1, 3, 5] to estimate the temperature evolution based on the results from a purely mechanical analysis
The specimen geometry employed in this work are uniaxial tensile specimens (UT), featuring 20mm long and 5mm wide gauge sections (Fig. 1)
Summary
Elevated and high strain rate plastic deformation causes a temperature rise in the material due to a significant fraction of mechanical work being converted to heat. In an attempt to obtain meaningful engineering approximations without carrying out a full thermo-mechanical analysis, effective transition functions (so-called ω functions) have been proposed [1, 3, 5] to estimate the temperature evolution based on the results from a purely mechanical analysis. These ω functions introduce a strain rate dependent weighing factor to approximate the transition between the isothermal and adiabatic state. A modified logarithmic ω function is proposed which yields better agreement to experimental data than existing models [1] [3]
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