Thermoelasticity is a branch of solid mechanics that deals with the coupling between thermal effects and mechanical deformations in materials. It studies the behavior of materials under conditions of thermal and mechanical loading, and how changes in temperature can affect the mechanical properties of materials. Thermoelasticity is important in various engineering applications, such as in the design of structures and materials that are subjected to temperature variations. The field of thermoelasticity explores the interaction between thermal and mechanical quantities, and seeks to develop models and theories to predict and understand the behavior of materials under different thermal and mechanical conditions.