Statistical mechanics of cold deconfined quark matter using quasiparticle model

We discuss the statistical mechanics and thermodynamics of quark matter at zero temperature and finite chemical potential using a thermodynamically consistent framework of quasiparticle model for QGP without the need of any reformulation of statistical mechanics or thermodynamical consistency relation. Using that equation of state, we solve the Tolman–Oppenheimer–Volkoff equation to obtain the mass-radius relation of dense quark star.

Constitutive Modeling of Magnesium Alloys with Distortional Hardening

Anisotropic mechanical behavior is one of the key factors restricting the processing procedure of magnesium alloys. This pronounced anisotropy, however, cannot be characterized by classical isotropic or kinematic hardening due to the constant shape of yield surfaces during plastic deformation. Therefore, the shape evolution of yield surfaces, also known as distortional hardening is the main way to capture the anisotropic behavior. Based on elasto-plasticity theory at finite strain, constitutive model with distortional hardening for Mg alloys is proposed. The thermodynamical consistency is proved. The anisotropic mechanical behavior of AZ31 sheet is demonstrated after material parameters calibration.

A METRIC APPROACH TO PLASTICITY VIA HAMILTON–JACOBI EQUATION

Thermodynamical consistency of plasticity models is usually written in terms of the so-called "maximum dissipation principle". In this paper, we discuss constitutive relations for dissipative materials written through suitable generalized gradients of a (possibly non-convex) metric. This new framework allows us to generalize the classical results providing an interpretation of the yield function in terms of Hamilton–Jacobi equations theory.