Continuum theories, also known as continuum mechanics, deal with the behavior of materials modeled as continuous bodies. Some synonyms for continuum theories include continuum physics, continuum modeling, and differential mechanics. These theories are used to describe the relationship between deformation, stress, and forces in a material. Other synonyms for continuum theories include continuum analysis, continuum dynamics, and continuum thermodynamics. These theories are used in various fields such as solid mechanics, fluid mechanics, and acoustics. They are a fundamental tool for understanding the behavior of materials and structures under different conditions and allow for the development of advanced technologies in areas such as aerospace, automotive, and biomedical engineering.