AbstractThe coupled thermomechanical responses of fluid‐saturated porous continua subjected to finite deformation are investigated. Field equations governing the transient response of the media are derived from a continuum thermodynamics mixture theory based on mass balance, momentum balance and energy balance laws as well as the Clausius‐Duhem inequality. Finite element procedures for the two‐dimensional response, employing updated Lagrangian formulations for the solid skeleton deformation and the weak formulations for fluid and thermal transport equations, are implemented in a fully implicit form. Temperature‐dependent mechanical properties for the non‐linear solid matrix, characterized by Perzyna's viscoplastic model, are assumed. An iterative scheme based on the full Newton‐Raphson method is presented for simultaneously solving the coupled non‐lin