The discussion focuses on the lack of established equations of state for solids under non-hydrostatic conditions, contrasting with well-documented hydrostatic cases like the Birch-Murnaghan and Vinet equations. Participants highlight the importance of separating the stress tensor into hydrostatic and deviatoric components, noting that the deviatoric component is constrained by the material's flow stress. The conversation emphasizes that below yield stress, the behavior of solids is typically described using linear or nonlinear elasticity, without reference to pressure.
PREREQUISITESResearchers, material scientists, and engineers focused on solid mechanics, particularly those interested in the behavior of materials under non-hydrostatic conditions.