New Approaches to Structural Mechanics, Shells and by C. R. Calladine (auth.), H. R. Drew, S. Pellegrino (eds.)

By C. R. Calladine (auth.), H. R. Drew, S. Pellegrino (eds.)

This Festschrift marks the retirement of Professor Chris Calladine, FRS after forty two years at the instructing employees of the dep. of Engineering, collage of Cambridge. It features a sequence of papers contributed via his former scholars, colleagues, and associates. Chris Calladine's learn has ranged very extensively around the box of struc­ tural mechanics, with a specific specialise in the plastic deformation of solids and buildings, and the behaviour of thin-shell constructions. His insightful books on Engineering Plasticity and conception of Shell buildings were favored by way of many generations of scholars at Cambridge and somewhere else. His clinical contri­ bution outdoors engineering, in molecular buildings, is not less than as major, and he's detailed between engineers in having co-authored a publication on DNA. additionally, he has been keenly drawn to the study of many scholars and associates, and on many events his speedy clutch and actual perception have helped a pupil, and infrequently a colleague, locate the nub of the matter with out pointless attempt. some of the papers contained during this quantity gratefully recognize this beneficiant contribution. We thank Professor G. M. l. Gladwell for analyzing via the entire contri­ butions, Mrs R. Baxter and Mrs o. Constantinides for assist in getting ready this quantity, Godfrey Argent Studio for permission to breed Calladine's por­ trait for the Royal Society, and Dr A. Schouwenburg -from Kluwer- for his suggestions. Horace R. Drew Sergio Pellegrino ix CHRIS CALLADINE a few ideas ON learn c. R.

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New Approaches to Structural Mechanics, Shells and Biological Structures

This Festschrift marks the retirement of Professor Chris Calladine, FRS after forty two years at the educating employees of the dept of Engineering, collage of Cambridge. It incorporates a sequence of papers contributed through his former scholars, colleagues, and pals. Chris Calladine's study has ranged very broadly around the box of struc­ tural mechanics, with a selected concentrate on the plastic deformation of solids and constructions, and the behaviour of thin-shell constructions.

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In the case of little or no initial out-of-roundness, the tube is expected to undergo axi-symmetric deformation with little ovalization. Slot closure would take place as the applied pressure exceeds PelOt given by (6). e. when load Pelf is reached), the tube stiffness against uniform radial deformation increases markedly. In practice, as pressure increases further, the inherent out-of-roundness imperfections in the tube will promote tube ovalization leading to its eventual collapse. With the presence of any out-of-roundness in the tube, ovalization will be a preferred mode of deformation, during which little or no slot closure occurs.

These velocities also have uniform limits at the tip, indicated with "tip and Wtip respectively. We call part any regular subset b of n (with geometrical properties analogous to n), Fig. 3. When we consider any part b (t) varying in time, the points of its boundary 8b (t), a closed curve in n, are identified with X (s, t), s being the arc-length parametrization of 8b (t). The velocity of any point X E8b (t) is given by u = dXJ:,t); indicating by n the outward normal to 8b (t), only the normal component U = u· n is independent of the parametrization s.

A. R. (1997) Curvature and torsion of infinitely repeating DNA sequences, Proc. Roy. Soc. A 453, 365-386. A. R (1997) Conformational characteristics of DNA; empirical classifications and a hypothesis for the conformational behaviour of dinucleotide steps, Phil. Trans. Roy. Soc. A 355, 43-100. A. R (1998) Two distinct modes of protein-induced bending in DNA, J. Mol. Biol. 282, 331-343. R, Sharff, A. P. (2001) How to untwist an a-helix: structural principles of an a-helical barrel, J. Mol. Biol. 305, 603-618.

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