Calculus of Variations on Thin Prestressed Films: Asymptotic Methods in Elasticity (Hardcover, 2023)

Introduction.- Part I: Tools in Mathematical Analysis.- Γ-Convergence.- Korn's Inequality.- Friesecke-James-Muller’s Inequality.- Part II: Dimension Reduction in Classical Elasticity.- Limiting Theories for Elastic Plates and Shells: Nonlinear Bending.- Limiting Theories for Elastic Plates and Shells: Sublinear and Linear.- Linear Theories for Elastic Plates: Linearized Bending.- Infinite Hierarchy of Elastic Shell Models.- Limiting Theories on Elastic Elliptic Shells.- Limiting Theories on Elastic Developable Shells.- Part III: Dimension Reduction in Prestressed Elasticity.- Limiting Theories for Prestressed Films: Nonlinear Bending.- Limiting Theories for Prestressed Films: Von Karman-like Theory.- Infinite Hierarchy of Limiting Theories for Prestressed Films.- Limiting Theories for Weakly Prestressed Films.- Terminology and Notation.- Index.