Modern Trends in Structural and Solid Mechanics 1

6 Chapter 5Figure 5.1. Buckling modes for plates with different aspect ratios a/b under uni...Figure 5.2. Buckling modes for plates with different aspect ratios a/b under bia...

7 Chapter 6Figure 6.1. Reference shape of a parabolic arch with cross-sections orthogonal t...Figure 6.2. Critical load ratio for a fixed arch with a crack characterized by a ...Figure 6.3. Buckling modes about the deformed shape for a = 0.6

8 Chapter 7Figure 7.1. (a) The repeating unit cell and (b) shear mode microbuckling of a pe...Figure 7.2. Effect of layer stiffness ratio on the elastic critical bifurcation ...Figure 7.3. Buckling curves exhibiting the volume fraction-dependent variation o...Figure 7.4. Effect of the volume fraction on (a) the critical microbuckling stre...Figure 7.5. (a) Effect of the volume fraction on the critical microbuckling stra...Figure 7.6. Effect of the volume fraction on (a) the critical microbuckling stre...

9 Chapter 8Figure 8.1. Two DOF model investigated in this work Figure 8.2. Geometrically nonlinear static response of the two DOF system shown ...Figure 8.3. Potential energy under P= 0. (a) 3D view. (b) Iso lines. For a color ...Figure 8.4. Dynamic analysis of the two DOF system under P 0=128 MN>PMPCL assumin...Figure 8.5. Dynamic stability criterion due to Lee for P 0=110 MN≈PD. Initial per...Figure 8.6. Dynamic stability criterion due to Lee for P 0 = 70 MNDynamic response for various load levels. Data: ξ =0, Δα= 0.001, Δβ= 0....Figure 8.8. Positive projection of Lee’s coefficient CL for several values of P 0...Figure 8.9. Dynamic response in terms CS/Cref. Data: ξ =0, tf =4 s, Δα= 0.001, Δβ =0...Figure 8.10. Variation of CS with the impulsive load P 0 in the range 10 MN

0 < 13...

10 Chapter 9Figure 9.1. Schematics of the drill string descending in a curvilinear borehole Figure 9.2. System of forces acting on the drill string Figure 9.3. Parameterization of curve S and surface ΣFigure 9.4. Geometric schematic of an inclined borehole Figure 9.5. Buckling modes of the DS at different stages of its lowering (H = 2 ...Figure 9.6. Buckling modes of the DS at different stages of its lowering (h = 2....Figure 9.7. Modes of buckling in the shapes of boundary effect (a) and internal ...Figure 9.8. Typical 3D schematic fragment of the drill string buckling wavelet i...Figure 9.9. Typical 3D schematic fragment of the drill string buckling wavelet i...

11 Chapter 10Figure 10.1. Image of the optimally shaped Beck’s column Figure 10.2. Column subjected to a rocket-based follower force and having a rigi...Figure 10.3. Photographs of the experimental setups for the present experiment: ...Figure 10.4. Mathematical model Figure 10.5. Typical load–frequency curves (ω values are plotted on a logarithmi...Figure 10.6. Schematic of the experimental setup (side view) Figure 10.7. Sketch of the cross-section of the rocket motor: ① forward cap, ② c...Figure 10.8. Thrust curve Figure 10.9. Test beams. For a color version of this figure, see www.iste.co.uk/...Figure 10.10. Load–frequency curves: (a) for the initial column no. 1 and (b) fo...Figure 10.11. Damaged test columns: (a) damaged column no. 1 and (b) damaged col...Figure 10.12. Dynamic responses in test runs nos. 1 and 2: (a) response in run n...Figure 10.13. Dynamic responses in the extra test runs with uniform columns: (a)...Figure 10.14. Stability chart for the extra runs

12 Chapter 11Figure 11.1. Trapezoidal arch under two vertical concentrated loads. For a color...Figure 11.2. HBM for the trapezoidal arch. For a color version of this figure, s...Figure 11.3. Buckling mode of trapezoidal arch 1 modeled by the HBM Figure 11.4. Buckling mode of trapezoidal arch 2 modeled by the HBM Figure 11.5. Trapezoidal arch Figure 11.6. Variations of optimal height of trapezoidal arches for different su...Figure 11.7. Variations of optimal cross-sectional area ratio of trapezoidal arc...Figure 11.8. Variations of the maximum buckling load of trapezoidal arches for d...Figure 11.9. Sensitivity of the maximum buckling load of trapezoidal arches with...

1 Chapter 1 Table 1.1. Comparison of the results with the 3D exact solution of Pagano for th... Table 1.2. Normalized results for the sandwich plate of the aspect ratio a/h = 1... Table 1.3. Normalized results for the sandwich plate of the aspect ratio a/h = 5... Table 1.4. Normalized results for the sandwich plate of the aspect ratio a/h = 2... Table 1.5. Normalized results for the [0/90/0] laminated plate with C–C–SS–SS an...

2 Chapter 2Table 2.1. Geometric and material properties of the cardboard samples

3 Chapter 5Table 5.1. Possible combinations for boundary conditions Table 5.2. Possible edge conditions Table 5.3. Equations required for solving case 48, CGSF Table 5.4. Buckling load Nxx for a plate with different plate aspect ratios and ...Table 5.5. First buckling load Nxx for rectangular plates with different aspect ...

4 Chapter 6Table 6.1. Critical loads for the symmetric mode shapes of a hinged circular arc...

5 Chapter 9Table 9.1. Critical values of the axial force Fz

6 Chapter 10Table 10.1. Columns for five test runs Table 10.2. First natural eigenfrequencies (Hz) of the five test beams

7 Chapter 11Table 11.1. Parameters for non-symmetrical trapezoidal arches 1 and 2 Table 11.2. Buckling load parameters PL 2/(EI) of trapezoidal arches – n-segment ...

1 Cover

2 Table of Contents

3 Title Page Series Editor Noël Challamel

4 Copyright First published 2021 in Great Britain and the United States by ISTE Ltd and John Wiley & Sons, Inc. Apart from any fair dealing for the purposes of research or private study, or criticism or review, as permitted under the Copyright, Designs and Patents Act 1988, this publication may only be reproduced, stored or transmitted, in any form or by any means, with the prior permission in writing of the publishers, or in the case of reprographic reproduction in accordance with the terms and licenses issued by the CLA. Enquiries concerning reproduction outside these terms should be sent to the publishers at the undermentioned address: ISTE Ltd 27-37 St George’s Road London SW19 4EU UK www.iste.co.uk John Wiley & Sons, Inc. 111 River Street Hoboken, NJ 07030 USA www.wiley.com © ISTE Ltd 2021 The rights of Noël Challamel, Julius Kaplunov and Izuru Takewaki to be identified as the authors of this work have been asserted by them in accordance with the Copyright, Designs and Patents Act 1988. Library of Congress Control Number: 2020952688 British Library Cataloguing-in-Publication Data A CIP record for this book is available from the British Library ISBN 978-1-78630-714-9

5 Preface: Short Bibliographical Presentation of Prof. Isaac Elishakoff

6 Begin Reading

7 List of Authors

8 Index

9 Summary of Volume 2

10 Summary of Volume 3

11 Other titles from ISTE in Health Engineering and Society

12 End User License Agreement

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