Cover image for Classical and advanced theories of thin structures : mechanical and mathematical aspects
Title:
Classical and advanced theories of thin structures : mechanical and mathematical aspects
Series:
CISM Courses and lectures ; 503
Publication Information:
Italy, IT : SpringerWienNewYork, 2008
Physical Description:
258 p. : ill. ; 24 cm.
ISBN:
9783211854297
General Note:
International Centre for Mechanical Sciences

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30000010206932 TA660.T5 C53 2008 Open Access Book Book
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Summary

Summary

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.


Table of Contents

A. MorassiR. ParoniD. PercivaleP. Podio-GuidugliP.G. CiarletI. FonsecaI. FonsecaI. FonsecaI. Fonseca
Strain, Stress and Linearized Elasticityp. 1
Constitutive Equations and Variational Elasticityp. 35
An Introduction to [Gamma]-convergence Methods for Thin Structuresp. 61
Concepts in the Mechanics of Thin Structuresp. 77
A Brief Introduction to Mathematical Shell Theoryp. 111
Non-Brittle and Brittle Thin Films-Lectures I, IIp. 187
A Young Measure Approach to a Nonlinear Membrane Model-Lecture IIIp. 205
Bending Moment and Higher Order Membrane Models-Lecture IVp. 219
3D-2D Asymptotic Analysis for Inhomogeneous Thin Films-Lectures V, VIp. 235