Mathematical Modeling Of Thermo-Hydro-Mechanical Behaviour For Concrete Under Elevated Temperature

A hydro-thermo-mechanical model was establihsed for concrete at elevated temperature. Three phases of continuum were adopted in this model: gaseous mixture of water vapor and dry air, liquid water, and solid skeleton of concrete. Mass conservation equations, linear momentum conservation equation, and energy conservation equation were derived on the basis of the macroscopic Navier-Stokes equations for a general continuum, along with the assumption made for the purpose of simplification. Mathematical relationships between selected primary variables and secondary variables were given with existing data in literature. Specifications of the constitutive relations were made for the dynamical variables and their conjugate forces. Consequently a set of governing partial differential equations were obtained.