Download - 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
1/262
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
2/262
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
3/262
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.
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
4/262
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
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
5/262
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
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
6/262
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
7/262
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
8/262
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
9/262
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
10/262
A. orass
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
11/262
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
12/262
A. orass
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
13/262
Strain, Stress and inearized Elasticity
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
14/262
6 A. orass
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
15/262
Strain, Stress an inearize Elasticity 7
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
16/262
8 A. orass
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
17/262
Strain, Stress an inearize Elasticity
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
18/262
A. orass
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
19/262
Strain, Stress an inearize Elasticity
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
20/262
A. orass
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
21/262
Strain, Stress an inearize Elasticity
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
22/262
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
23/262
Strain, Stress an inearize Elasticity
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
24/262
A. orass
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
25/262
Strain, Stress and inearized Elasticity 7
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
26/262
A. orass
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
27/262
Strain, Stress and inearized Elasticity
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
28/262
A. orass
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
29/262
Strain, Stress and inearized Elasticity
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
30/262
A. orass
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
31/262
Strain, Stress and inearized Elasticity 23
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
32/262
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
33/262
Strain, Stress an inearize Elasticity 2
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
34/262
2 A. orass
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
35/262
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
36/262
2 A. orass
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
37/262
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
38/262
A. orass
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
39/262
Strain, Stress and inearized Elasticity
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
40/262
3 A. orass
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
41/262
Strain, Stress an inearize E asticity 33
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
42/262
3 A. orass
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
43/262
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
44/262
3 . aron
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
45/262
Constitutive quations an Variationa asticity 3
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
46/262
3 . aron
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
47/262
Constitutive quations an Variationa asticity 39
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
48/262
. aron
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
49/262
Constitutive quations an Variationa lasticity
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
50/262
. aron
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
51/262
Constitutive quations an Variationa asticity 3
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
52/262
. aron
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
53/262
Constitutive quations an Variationa lasticity
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
54/262
. aron
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
55/262
Constitutive quations an Variationa asticity 7
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
56/262
. aron
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
57/262
Constitutive quations an Variationa asticity 9
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
58/262
5 . aron
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
59/262
Constitutive quations an Variationa asticity
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
60/262
5 . aron
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
61/262
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
62/262
54 . aron
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
63/262
Constitutive quations an Variationa lasticity 5
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
64/262
5 . aron
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
65/262
Constitutive quations an Variationa asticity 5
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
66/262
5 . aron
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
67/262
Constitutive quations an Variationa lasticity 59
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
68/262
An introduction to -convergence methodsfor thin structures
Abstract
1 Introduction to lower semicontinuity, relaxation
and -convergence.
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
69/262
6 . Perciva e
R
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
70/262
An ntro uction o Γ-convergence 63
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
71/262
6 . Perciva e
R
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
72/262
An ntro uction o Γ-convergence 6
N
N
R N
R
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
73/262
6 . Perciva e
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
74/262
An ntro uction o Γ-convergence 6
2 -convergence and thin structures
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
75/262
6 . Percivale
E E
E
E E
E E E E E E
E E
E E E E E E
E E E
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
76/262
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
77/262
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
78/262
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
79/262
. Percivale
4 The structure of non regular solutions
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
80/262
An ntroduction o Γ-convergence 3
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
81/262
. Perciva e
Bibliography
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
82/262
An ntro uction to Γ-convergence
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
83/262
. Percivale
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
84/262
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
85/262
. Podio-Guidugli
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
86/262
Concepts n the echanics of n tructures 9
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
87/262
. Podio-Guidugli
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
88/262
Concepts n the echanics of n tructures
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
89/262
8 . Podio-Guidugli
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
90/262
Concepts n the echanics of n tructures 83
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
91/262
84 . Podio-Guidugli
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
92/262
Concepts n the echanics of n tructures 8
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
93/262
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
94/262
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
95/262
. Podio-Guidugli
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
96/262
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
97/262
. Podio-Guidugli
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
98/262
Concepts n the echanics of n tructures
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
99/262
9 . Podio-Guidugli
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
100/262
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
101/262
94 . Podio-Guidugli
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
102/262
Concepts n the echanics of n tructures 9
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
103/262
9 . Podio-Guidugli
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
104/262
Concepts n the echanics of n tructures 97
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
105/262
9 . Podio-Guidugli
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
106/262
Concepts n the echanics of n tructures 99
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
107/262
00 . Podio-Guidugli
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
108/262
Concepts n the echanics of n tructures 01
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
109/262
. Podio-Guidugli
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
110/262
Concepts in t e ec anics of in tructures
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
111/262
. Podio-Guidugli
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
112/262
Concepts n the echanics of n tructures 0
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
113/262
6 . Podio-Guidugli
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
114/262
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
115/262
8 . Podio-Guidugli
-
8/16/2019 Classical and Advanced Theories of Thin Structures - Antonino Morassi - Roberto Paroni.pdf
116/262
Concepts n the echanics of n tructures 0
-
8/16/2019 Classical and Advanced Theories of Thin Structures -