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- W3200118618 abstract "Thermodynamic stability provides the range of admissible properties of fluids and deformable solids. It also allows determination if a substance can exist in given conditions. When a fluid reaches its limit of thermodynamic stability, it should change phase. In deformable solids, instability may lead to failure, and cracks are formed, the bulk solid stays the same, but work from tension is converted to surface energy. In single-component fluids, thermodynamic stability leads to the dual conditions that the isothermal compressibility and the heat capacity be positive at constant volume. In solids, both in 2D and 3D, the bulk modulus K and the Lamé constant μ should be positive; these two conditions arise from the mechanical stability. The thermal stability requires that the heat capacity to be positive. The criteria of thermodynamic stability in fluids and deformable solids are often derived on different approaches. In fluids, the derivations are based on a minimum of thermodynamic functions such as internal energy or Helmholtz free energy. In solids, various expressions are based on volumetric behavior, geometrical, dynamic, and energy expressions. We are not aware of generalized derivations for both fluids and solids. In this work, we derive the criteria of thermodynamics stability of fluids, and deformable solids in 1D, 2D, and 3D. The derivations are based on the minimum of the Helmholtz free energy. The motivation from this work is to set a basis for expansion to thermodynamic stability of fluid-solid systems in relation to effect of different fluids on failure of solids." @default.
- W3200118618 created "2021-09-27" @default.
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- W3200118618 date "2021-12-01" @default.
- W3200118618 modified "2023-09-26" @default.
- W3200118618 title "Unified thermodynamic stability analysis in fluids and elastic materials" @default.
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- W3200118618 doi "https://doi.org/10.1016/j.fluid.2021.113219" @default.
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