TY - BOOK AU - AU - ED - SpringerLink (Online service) TI - Classical and Advanced Theories of Thin Structures: Mechanical and Mathematical Aspects T2 - CISM International Centre for Mechanical Sciences, SN - 9783211854303 AV - TA349-359 U1 - 620.1 23 PY - 2008/// CY - Vienna PB - Springer Vienna KW - Engineering KW - Mathematical physics KW - Materials KW - Mechanical engineering KW - Structural Mechanics KW - Mathematical Methods in Physics KW - Continuum Mechanics and Mechanics of Materials N1 - 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; ZDB-2-ENG N2 - 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 UR - http://dx.doi.org/10.1007/978-3-211-85430-3 ER -