Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf

8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf

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CISM COURSES AND LECTURES

eries Editors:

The Rectors

Giulio Maier - Milan

Jean Salençon - Palaiseau

Wilhelm Schneider - Wien

The Secretary General

Bernhard Schrefler - Padua

Executive Editor

Paolo Serafini - Udine

he series presents lecture notes, monographs, edited works and

roceedings in the field of Mechanics, Engineering, Computer Science

and Applied Mathematics.Purpose of the series is to make known in the international scientific

and technical community results obtained in some of the activities

organized by CISM, the International Centre for Mechanical Sciences.


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INTERNATIONAL CENTRE FOR MECHANICAL SCIENCES

COURSES AND LECTURES - No. 503

LA ICAL AND ADVANCED THEORIE

OF THIN TRUCTURE

ANTONINO MORASS

NIVERSITY OF UDINE, ITAL

OBERTO PARON

UNIVERSITY OF SASSARI, ITAL

MECHANICAL AND MATHEMATICAL ASPECTS


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This vo ume contains 32 i ustrations

Th s work s sub ect to copyr ght.

A rights are reserved,

whether the who e or part of the materia is concerned

specifically those of translation, reprinting, re-use of illustrations,

broa casting, repro uction by photocopying machine

or simi ar means, and storage in data banks.

© 2008 by CISM, U ine

Printed in Ita ySPIN 12048489

All contributions have been typeset by the authors.

ISBN 978-3-211-85429-7 SpringerWienNewYork


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A. orass


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A. orass


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Strain, Stress and inearized Elasticity


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6 A. orass


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Strain, Stress an inearize Elasticity


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Strain, Stress and inearized Elasticity 7


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Strain, Stress an inearize E asticity 33


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Constitutive quations an Variationa asticity 3


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Constitutive quations an Variationa lasticity


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Constitutive quations an Variationa lasticity 59


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An introduction to -convergence methodsfor thin structures

Abstract

1 Introduction to lower semicontinuity, relaxation

and -convergence.


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6 . Perciva e

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An ntro uction o Γ-convergence 63


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R


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N

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R N

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2 -convergence and thin structures


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. Percivale

4 The structure of non regular solutions


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An ntroduction o Γ-convergence 3


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. Perciva e

Bibliography


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An ntro uction to Γ-convergence


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. Percivale


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. Podio-Guidugli


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Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf

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