Year: 2025
Type: article
Abstract: This paper addresses the construction of an equation of state considering three phases of tin for shock-induced phase transitions. First we present general results on such an equation of state which ensure the existence and uniqueness of the problem of maximization on the mixture entropy. Next, a multiphase equation of state under strict thermodynamic equilibrium is obtained using a combination of tabulation and Newton-Raphson iterations. Using this equation of state calibrated with standard static and dynamic experimental data, negative values of the fundamental derivative appear in the ( β/γ ) mixture zone. A major consequence is the occurrence of composite waves for shock-induced ( β → γ ) phase transition. We construct the five self-similar reference solutions, using Hugoniot relations and Riemann invariants. Finally, numerical simulations are provided, illustrating these self-similar regimes of the ( β → γ ) phase transition at thermodynamic equilibrium for increasing piston velocities.
Source: ESAIM Proceedings and Surveys
Authors: Corentin Stéphan, Hervé Jourdren, Nicolas Seguin
Institutions: Centre National de la Recherche Scientifique, Institut national de recherche en sciences et technologies du numérique, Université de Montpellier, Commissariat à l'Énergie Atomique et aux Énergies Alternatives, CEA DAM Île-de-France, Institut Montpelliérain Alexander Grothendieck, Université Montpellier 2, ANGUS: Modélisation et simulation numérique adaptatives pour des équations ayant des structures sous-jacentes, Université Paris-Saclay, Laboratoire en Informatique Haute Performance pour le Calcul et la simulation
Language: English
Subfield: Materials Chemistry
Field: Materials Science
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4414686751