Mathematical Foundations of Elasticity

This advanced-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. Prerequisites include a solid background in advanced calculus and the basics of geometry and functional analysis.The first two chapters cover the background geometry ― developed as needed ― and use this discussion to obtain the basic results on kinematics and dynamics of con

# Elasticity and Wave Propagation # Engineering # Elasticity and Material Modeling # Advanced Numerical Methods in Computational Mathematics

Jerrold Eldon Marsden, Thomas J.R. Hughes, Donald E. Carlson (1984). "Mathematical Foundations of Elasticity". Journal of Applied Mechanics. https://doi.org/10.1115/1.3167757