This graduate-level study approaches mathematical foundations of three-dimensional elasticity using modern differential geometry and functional analysis. It is directed to mathematicians, engineers and physicists who wish to see this classical subject in a modern setting with examples of newer mathematical contributions. Relevant problems appear throughout the text. 1983 edition.
Marsden, J. E., Hughes, T. J. R., & Carlson, D. E. (1984). Mathematical Foundations of Elasticity. Journal of Applied Mechanics, 51(4), 946. https://doi.org/10.1115/1.3167757