Classical and Advanced Theories of Thin Structures: Mechanical and Mathematical Aspects / Edition 1

by Antonio Morassi, Roberto Paroni

Overview

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.

Product Details

ISBN-13:	9783211854297
Publisher:	Springer Vienna
Publication date:	11/07/2008
Series:	CISM International Centre for Mechanical Sciences , #503
Edition description:	2008
Pages:	258
Product dimensions:	6.20(w) x 9.30(h) x 0.80(d)

Table of Contents

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.