On computing the evolution of temperature for materials under dynamic loading

Strain localization and dynamic recrystallization in polycrystalline metals: Thermodynamic theory and simulation framework

“…Incidentally, the thermodynamic description outlined in Section 2.3 provides a simple estimate of the Taylor-Quinney coefficient β, a long-standing challenge in the materials science and solid mechanics communities (e.g., Zehnder, 1991;Rosakis et al, 2000;Benzerga et al, 2005;Longère and Dragon, 2008b,a;Stainier and Ortiz, 2010;Zaera et al, 2013;Anand et al, 2015;Luscher et al, 2018) despite a vast amount of experimental efforts (e.g., Farren and Taylor, 1925;Taylor and Quinney, 1934;Hartley et al, 1987;Marchand and Duffy, 1988;Duffy and Chi, 1992;Rittel et al, 2017). The thermodynamic constraint (χ−θ)Ṡ K ≥ 0, a direct consequence of the secondlaw inequality (20), stipulates that…”

Implementation and Verification of the Sesame Equation of State Database into Abaqus

“…Abaqus by default includes quadratic bulk viscosity pressure for numerical effect but it is not considered to be part of the material's constitutive response [5]. As discussed previously, this approximation leads to poor estimates of temperature 1 The Abaqus specific internal energy is computed as the elastic strain energy density (SENER) divided by density. SESAME by contrast uses a specific energy per unit volume.…”

“…Implementation of the Sesame EOS involved first defining the basic conservation equations and assumptions used by Abaqus in relation to high compression processes. Abaqus by default makes a number of competing approximations, which can lead to poor estimates of temperature when applied to cases of increasing compression via shock or ramp loading [1]. For example, Abaqus assumes an adiabatic condition under compression and temperature is calculated according to the adiabiatic thermal energy increase caused by mechanical work.…”

Thermodynamic theory of crystal plasticity: Formulation and application to polycrystal fcc copper

“…The proportion of plastic work transformed to thermal energy remains a very important area of research and is of technological interest to the processing of materials and material energy dissipation applications. For many types of loading conditions, the energy state of the material is an important state variable and the energy partitioned for dislocation state evolution must be considered (e.g., Wu et al, 2003;Mourad et al, 2017;Luscher et al, 2018;Barton et al, 2005;Vogler and Clayton, 2008;Levitas et al, 2006;Levitas and Javanbakht, 2015b). Despite more recent experimental work found in literature (Marchand and Duffy, 1988;Hartley et al, 1987;Duffy and Chi, 1992;Rittel et al, 2012Rittel et al, , 2017 thermometry remains challenging to perform accurately and more experimental work is required.…”

“…Recent work also suggests that the Taylor-Quinney coefficient differs in magnitude between slip and twinning processes (Kingstedt and Lloyd, 2019). Together with the complexity of continuum descriptions of the mechanics of dislocation motion and interactions, theoretical development is also an active research area (Zehnder, 1991;Rosakis et al, 2000;Benzerga et al, 2005;Longére and Dragon, 2008b,a;Stainier and Ortiz, 2010;Zaera et al, 2013;Anand et al, 2015;Luscher et al, 2018;Nieto-Fuentes et al, 2018).…”