Types of quantum field thories
Continuum mechanics refers to the physics/mechanics of continuous bodies such as notably fluids? but also solids (solid state physics). As opposed to the mechanics of point particles (to which it is of course related by various limiting processes).
Wikipedia, Continuum mechanics
Gérard A Maugin, Continuum Mechanics Through the Twentieth Century: A Concise Historical Perspective, 2013
and to the notion of cohesion
William Lawvere, Some Thoughts on the Future of Category Theory in A. Carboni, M. Pedicchio, G. Rosolini, Category Theory , Proceedings of the International Conference held in Como, Lecture Notes in Mathematics 1488, Springer (1991)
For more on this see also the collection
William Lawvere, Variable sets, topoi and etendu Notices Amer. Math. Soc. 22 (1975) A675.
W. Noll, The foundations of mechanics and thermodynamics Springer, 1974.