Classical and Advanced Theories of Thin Structures [electronic resource] : Mechanical and Mathematical Aspects / edited by Antonino Morassi, Roberto Paroni.
Series: CISM International Centre for Mechanical Sciences ; 503Publisher: Vienna : Springer Vienna, 2008Description: VII, 258 p. online resourceContent type:- text
- computer
- online resource
- 9783211854303
- 531 23
- QC120-168.85
- QA808.2

Strain, stress and linearized elasticity -- Constitutive equations and variational elasticity -- An introduction to ?-convergence methods for thin structures -- Concepts in the mechanics of thin structures -- A brief introduction to mathematical shell theory -- Non-Brittle and Brittle Thin Films — Lectures I, II -- A Young measure approach to a nonlinear membrane model — Lecture III -- Bending moment and higher order membrane models-lecture IV -- 3D-2D asymptotic analysis for inhomogeneous thin films — lectures V, VI.
The book presents an updated state-of-the-art overview of the general aspects and practical applications of the theories of thin structures, through the interaction of several topics, ranging from non-linear thin-films, shells, junctions, beams of different materials and in different contexts (elasticity, plasticity, etc.). Advanced problems like the optimal design and the modeling of thin films made of brittle or phase-transforming materials will be presented as well.