Continuum Thermomechanics

The general goal of this book is to deduce rigorously, from thefirst principles, the partial differential equations governing thethermodynamic processes undergone by continuum media under forcesand heat. Solids and fluids are considered in a unified framework. Reacting mixtures of fluids are also included for which generalnotions of thermodynamics are recalled, such as the Gibbsequilibrium theory.Linear approximate models are mathematically obtained bycalculating the derivatives of the constitutive response functions. They include the classical models for linear vibrations ofthermoelastic solids and also for wave propagation in fluids(dissipative and non-dissipative acoustics and internal gravitywaves).