Classical and Advanced Theories of Thin Structures Mechanical and Mathematical Aspects / [electronic resource] : edited by Antonino Morassi, Roberto Paroni. - Vienna : Springer Vienna, 2008. - VII, 258 p. online resource. - CISM International Centre for Mechanical Sciences, 503 0254-1971 ; . - CISM International Centre for Mechanical Sciences, 503 .

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.

9783211854303

10.1007/978-3-211-85430-3 doi

Engineering.

Mathematical physics.

Materials.

Mechanical engineering.

Engineering.

Structural Mechanics.

Mathematical Methods in Physics.

Continuum Mechanics and Mechanics of Materials.

TA349-359

620.1