The dynamic compressive behavior and constitutive models of a near α TA23 titanium alloy

Dynamic Deformation Behavior and Fracture Characteristics of a near α TA31 Titanium Alloy at High Strain Rates

“…The J-C model can accurately describe the deformation behavior of metal materials in the process of dynamic impact deformation, and its form is where σ and ε are flow stress and strain, respectively, represent in which and is strain rate and the reference strain rate (0.001 s −1 ) respectively, T * represents ( T − T r )/( T m − T r ) in which T , T m , and T r is the deformation temperature, the melting temperature (about 1923 K) and the room temperature (293 K) respectively, m and n represent thermal softening exponent and strain hardening exponent respectively, A represent yield stress at T r and , B and C is strain hardening coefficient and strain rate hardening coefficient respectively [ 13 , 14 , 15 ].…”

“…Because the service temperature of TA31 titanium alloy components generally does not exceed 773 K and the maximum speed that the equipment can reach is 4000 s −1 , the strain rates of 700 s −1 , 1600 s −1 , 2800 s −1 , and 4000 s −1 and temperatures of 293 K, 373 K, 573 K, and 773 K were selected for the dynamic impact tests. The technical method and principle of the split Hopkinson pressure bar experiment are the same as those in reference [ 13 ].…”

On the Prediction of the Flow Behavior of Metals and Alloys at a Wide Range of Temperatures and Strain Rates Using Johnson–Cook and Modified Johnson–Cook-Based Models: A Review

“…Yu et al [ 60 ] proposed a modification of the original JC model to predict the flow behavior of TA23 titanium alloy under hot deformation. In their modification, the softening term is modified to take the coupling effect between the strain rate and temperature into account.…”

“…In their modification, the softening term is modified to take the coupling effect between the strain rate and temperature into account. The modified JC model that was presented by Yu et al [ 60 ] can be written as where and are material constants. Constants , and are determined in the same way that was explained in Section 3.2.5 .…”

“…Furthermore, it has been implemented in finite element simulation software packages for the prediction of flow stress in severe conditions such as elevated temperatures and high strain rates, as well as to optimize hot working parameters during hot deformation. The JC model has been commonly used for different materials such as nickel-based [ 48 , 49 ], iron-based [ 30 , 50 ], aluminum-based [ 51 , 52 , 53 ], magnesium-based [ 54 , 55 , 56 ], and titanium-based [ 57 , 58 , 59 , 60 ] alloys.…”