New Approaches to Structural Mechanics, Shells and Biological Structures

519 Pages·2002·26.03 MB·English

by  C. R. Calladine (auth.)

New Approaches to Structural Mechanics, Shells and Biological Structures
SOLID MECHANICS AND ITS APPLICATIONS
Volume 104
Series Editor: G.M.L. GLADWELL
Department of Civil Engineering
University of Waterloo
Waterloo, Ontario, Canada N2L 3GI
Aims and Scope of the Series
The fundamental questions arising in mechanics are: Why?, How?, and How much?
The aim of this series is to provide lucid accounts written by authoritative researchers
giving vision and insight in answering these questions on the subject of mechanics as it
relates to solids.
The scope of the series covers the entire spectrum of solid mechanics. Thus it includes
the foundation of mechanics; variational formulations; computational mechanics;
statics, kinematics and dynamics of rigid and elastic bodies: vibrations of solids and
structures; dynamical systems and chaos; the theories of elasticity, plasticity and
viscoelasticity; composite materials; rods, beams, shells and membranes; structural
control and stability; soils, rocks and geomechanics; fracture; tribology; experimental
mechanics; biomechanics and machine design.
The median level of presentation is the first year graduate student. Some texts are mono
graphs defining the current state of the field; others are accessible to final year under
graduates; but essentially the emphasis is on readability and clarity.
For a list of related mechanics titles, see final pages.
New Approaches
to Structural Mechanics,
Shells and Biological
Structures
Edited by
H.R. DREW
CSIRO Molecular Science,
North Ryde, NSW Australia
and
S. PELLEGRINO
University of Cambridge,
Department of Engineering,
Cambridge, United Kingdom
Springer-Science+Business Media, B.Y.
A C.I.P. Catalogue record for this book is available from the Library of Congress.
ISBN 978-90-481-6120-1 ISBN 978-94-015-9930-6 (eBook)
DOI 10.1007/978-94-015-9930-6
Printed on acid-free paper
All Rights Reserved
© 2002 Springer Science+Business Media Dordrecht
Originally published by K1uwer Academic Publishers in 2002.
Softcover reprint of the hardcover 1s t edition 2002
No part of this work may be reproduced, stored in a retrieval system, or transmitted
in any form or by any means, electronic, mechanical, photocopying, microfilming, recording
or otherwise, without written permission from the Publisher, with the exception
of any material supplied specifically for the purpose of being entered
and executed on a computer system, for exclusive use by the purchaser of the work.
CONTENTS
Foreword. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. ix
CALLADINE'S CONTRIBUTION
Calladine, C.R.
Some Thoughts on Research .................................... .
Publications by C.R. Calladine ..................................... 11
STRUCTURAL MECHANICS
Abbassian, F., Willson, S. and Crook, A.J.L.
Collapse Behavior of Expandable Slotted Tubes .................. 23
Augusti, G., Mariano, P.M. and Stazi, F.L.
Laws of Evolution of Cracks in Plates in Terms of Stress Resultants 43
Cocks, A.C.F.
Nesting Surfaces and Constitutive Laws
for the Inelastic Behaviour of Composite Materials ................ 57
Como,M.
On the Rotation Capacity of Reinforced Concrete
Structural Elements ............................................ 67
Fleck, N.A., Ashby, M.F. and Deshpande, V.S.
The Topology of Cellular Structures ............................. 81
Fowler, P.W. and Guest, S.D.
Symmetry Analysis of the Double Banana
and Related Indeterminate Structures . . . . . . . . . . . . . . . . . . . . . .. 91
Greenwood, J.A.
Large Deflections of a Cantilever .............................. 101
Heyman, J.
Rose Windows ............................................... 115
Leckie, F.A.
Joining of Metal Matrix Composites .. . . . . . . . . . . . . . . . . . . . . . . . . .. 127
VI
Liddell, I.
Utilising Tension in Lightweight Structures ..................... 139
Livesley, R.K.
Elastic Minimum-Weight Design: an Encounter with Alan Turing. 155
Lowe,P.G.
Engineering and Education .................................... 165
Mandai, P.
Prediction of Buckling Load from Vibration Measurements ....... 175
Pavlovic, M.N., Tahan, N. and Kotsovos, M.D.
Non-Collinearly Loaded Laminae .............................. 189
Ponter, A.R.S. and Chen, H.
Linear Matching Methods for Shakedown Analysis .............. 203
Seffen, K.A.
Analysis of Coiled Piezoelectric Structures ...................... 215
Stronge, W.J.
Frictional Impact in Mechanisms ............................... 229
Tarnai, T. and Szabo, J.
Rigidity and Stability of Prestressed Infinitesimal Mechanisms .... 245
Wong, Y.W. and Pellegrino S.
Amplitude of Wrinkles in Thin Membranes ..................... 257
SHELL STRUCTURES
Arbocz, J. and Starnes, J.H.
On a High-Fidelity Hierarchical Approach
to Buckling Load Calculations ................................. 271
Fay, J.P., Poria, S. and Steele, C.R.
Cat Eardrum Response Mechanics ............................. 293
Harrigan, J.J. and Reid, S.R.
Inversion of Metal Cylinders ................................... 303
Holst, J.M.F.G., Rotter, J.M., Gillie, M. and MUnch M.
Failure Criteria for Shells on Local Brackets .................... 315
vii
Miura,K.
PCCP Shells ................................................. 329
Palmer, A.
Pogorelov's Theory of Creases, and Point Loads
on Thin Cylindrical Shells ..................................... 341
Rotter, J.M.
Shell Buckling and Collapse Analysis for Structural Design ...... 355
Shrivastava, S.C.
Bifurcation Buckling of Spherical Sandwich Shells
under External Pressure in Plastic Range ........................ 379
Singer, J., Abramovich, H. and Weller, T.
The Prerequisites for an Advanced Design Methodology
in Shells Prone to Buckling .................................... 393
BIOLOGICAL STRUCTURES
Klug, A.
Chris Calladine and Biological Structures: A Personal Account ... 413
Drew, H.R.
Calladine's Entry to the World of DNA ......................... 421
Hotani, H., Nomura, F., Takeda, S., Inaba, T., Takiguchi, K.,
Itoh, T.J. and Ishijima, A.
Morphological and Topological Transformation of Liposomes .... 435
Hunter, C.A. and Packer, M.J.
Computational Approaches to Predicting Sequence-Structure
Relationships in DNA ......................................... 447
Luisi, B.F.
Understanding Biological Machines Using Household Items:
Some Insightful Constructions from the Calladine Workshop ..... 457
Lutter, L.C., Tchemaenko, V., Radlinska, M., Drabik, C.E.,
Bujnicki, J. and Halvorson, H.R.
Measurement of DNA Bend Angles Using DNA Topology ....... 475
Namba, K.
Structural Insight into the Mechanism of Supercoiling
of the Bacterial Flagellar Filament ............................. 485
viii
Stewart, M. and McLachlan, A.D.
Coils and Supercoils in Proteins ................................ 499
Thompson, J.M.T.
Supercoiling of DNA Molecules ............................... 513
Author Index ..................................................... 525
FOREWORD
This Festschrift marks the retirement of Professor Chris Calladine, FRS after
42 years on the teaching staff of the Department of Engineering, University of
Cambridge. It contains a series of papers contributed by his former students,
colleagues, and friends.
Chris Calladine's research has ranged very widely across the field of struc
tural mechanics, with a particular focus on the plastic deformation of solids and
structures, and the behaviour of thin-shell structures. His insightful books on
Engineering Plasticity and Theory of Shell Structures have been appreciated by
many generations of students at Cambridge and elsewhere. His scientific contri
bution outside engineering, in molecular structures, is at least as significant, and
he is unique among engineers in having co-authored a book on DNA. Also, he
has been keenly interested in the research of many students and colleagues, and
on many occasions his quick grasp and physical insight have helped a student,
and sometimes a colleague, find the nub of the problem without unnecessary
effort. Many of the papers contained in this volume gratefully acknowledge
this generous contribution.
We thank Professor G.M.l. Gladwell for reading through all of the contri
butions, Mrs R. Baxter and Mrs o. Constantinides for help in preparing this
volume, Godfrey Argent Studio for permission to reproduce Calladine's por
trait for the Royal Society, and Dr A. Schouwenburg -from Kluwer-for his
assistance.
Horace R. Drew
Sergio Pellegrino
ix
CHRIS CALLADINE