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A celebration of mechanics: from nano to macro. The J. Michael T. Thompson Festschrift issue. (English) Zbl 1321.00092

From the text: This Theme Issue is dedicated to the topic ‘Mechanics: from nano to macro’ and marks the 75th birthday of Dr. J. Michael T. Thompson, Fellow of the Royal Society, whose current affiliations are as follows: (i) Honorary Fellow, Department of Applied Mathematics and Theoretical Physics, Centre for Mathematical Sciences, University of Cambridge; (ii) Emeritus Professor of Nonlinear Dynamics, Department of Civil, Environmental and Geomatic Engineering, University College London; and (iii) Professor of Theoretical and Applied Dynamics (Distinguished Sixth Century Chair, part-time), University of Aberdeen. He also serves as Chairman of the Board of Directors at ES-Consult (consulting engineers) in Copenhagen, Denmark. The pertinent question that arises from the very start is: should we first salute Michael and then describe the Theme Issue, or vice versa? Indeed, according to Blaise Pascal (1623–1662), the last thing one discovers in composing a work is what to put first. I would like to take the liberty of deviating from the tradition of the Philosophical Transactions and start with the tribute to Michael; after all he is the prime cause of this Theme Issue.

MSC:

00B05 Collections of abstracts of lectures
00B30 Festschriften

Biographic References:

Thompson, J. Michael T.
Full Text: DOI

References:

[1] van der Heijden, G: Preface. Nonlinear Dynm., 43, 1-2, (2006) · doi:10.1007/s11071-006-5720-0
[2] Chilver, AH: Michael Thompson: his seminal contributions to nonlinear dynamics–and beyond. Nonlinear Dyn., 43, 3-16, (2006) · Zbl 1101.01309 · doi:10.1007/s11071-006-0761-y
[3] Thompson, JMT: Basic principles in the general theory of elastic stability. J. Mech. Phys. Solids, 11, 13-20, (1963) · Zbl 0112.39004 · doi:10.1016/0022-5096(63)90003-6
[4] Thompson, JMT; Hunt, GW: A theory for the numerical analysis of compound branching. J. Appl. Math. Phys. \((\)ZAMP\()\), 22, 1001-1015, (1971) · Zbl 0237.73026 · doi:10.1007/BF01590869
[5] Koiter, WT: Over de stabiliteit van het elastisch evenwicht (on the stability of elastic equilibrium). (1945)
[6] Thompson, JMT: Advice to a young researcher: with reminiscences of a life in science. Phil. Trans. R. Soc. A, 371, 20120425, (2013) · Zbl 1320.01056 · doi:10.1098/rsta.2012.0425
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[9] Hunt, GW: Reflections and symmetries in space and time. IMA J. Appl. Math., 76, 2-26, (2011) · doi:10.1093/imamat/hxq063
[10] Thompson, JMT: Catastrophe theory in mechanics: progress or digression. J. Struct. Mech., 10, 167-175, (1982) · doi:10.1080/03601218208907408
[11] Boutot, A: Catastrophe theory and its critics. Synthese, 96, 167-200, (1993) · doi:10.1007/BF01306896
[12] Ashley, H: On making things the best–aeronautical uses of optimization. J. Aircraft, 19, 5-28, (1982) · doi:10.2514/3.57350
[13] Thompson, JMT: Optimization as a generator of structural instability. Int. J. Mech. Sci., 14, 627-629, (1972) · doi:10.1016/0020-7403(72)90062-8
[14] Thompson, JMT; Hunt, GW: Dangers of structural optimization. Eng. Optim., 1, 99-110, (1974) · doi:10.1080/03052157408960580
[15] Laville, F: Shall we abandon optimization theory?: The need for bounded rationality. J. Econ. Methodol., 7, 395-426, (2000) · doi:10.1080/135017800453751
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[17] Thompson, JMT: Towards a general statistical theory of imperfection-sensitivity in elastic post-buckling. J. Mech. Phys. Solids, 15, 413-417, (1967) · doi:10.1016/0022-5096(67)90012-9
[18] Thompson, JMT; Sieber, J: Climate tipping as a noisy bifurcation: a predictive technique. IMA J. Appl. Math., 76, 27-46, (2011) · Zbl 1215.86011 · doi:10.1093/imamat/hxq060
[19] Thompson, JMT; Shorrock, PA: Bifurcational instability of an atomic lattice. J. Mech. Phys. Solids, 23, 21-37, (1975) · Zbl 0337.73082 · doi:10.1016/0022-5096(75)90009-5
[20] Smith, I: Instabilities and catastrophes in science and engineering, J.M.T. Thompson, Wiley, Chichester. Int. J. Numer. Anal. Methods Geomech., 6, 391-392, (1982) · doi:10.1002/nag.1610060309
[21] Rabitz, H: Instabilities and catastrophes in science and engineering, J.M.T. Thompson. Am. Sci., 71, 214-215, (1983)
[22] Leipholz, HHE: Instabilities and catastrophes in science and engineering, J.M.T. Thompson. J. Appl. Mech., 49, 932, (1982) · doi:10.1115/1.3162674
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[24] Tvergaard, V: Review of \(Elastic instability phenomena\). J. Appl. Mech., 52, 241-242, (1985) · doi:10.1115/1.3169017
[25] Thompson, JMT: Chaotic dynamics and the Newtonian legacy. Appl. Mech. Rev., 42, 15-25, (1989) · doi:10.1115/1.3152417
[26] Thompson, JMT; Hunt, GW: Towards a unified bifurcation theory. J. Appl. Math. Phys. \((\)ZAMP\()\), 26, 581-604, (1975) · Zbl 0359.70032 · doi:10.1007/BF01594031
[27] Chillingworth, D: Elementary catastrophe theory. Bull. Inst. Math. Appl., 11, 155-159, (1975)
[28] Dowell, EH: Nonlinear dynamics and chaos, by J.M.T. Thompson and H.B. Stewart. AIAA J., 25, 1023-1024, (1987) · doi:10.2514/3.48738
[29] Thompson, JMT: Ten years of science in Philosophical Transactions A: with the University Research Fellows. Phil. Trans. R. Soc. A, 365, 2779-2797, (2007) · doi:10.1098/rsta.2007.0016
[30] Hutchinson, JW: The role of nonlinear substrate elasticity in the wrinkling of thin films. Phil. Trans. R. Soc. A, 371, 20120422, (2013) · Zbl 1327.74102 · doi:10.1098/rsta.2012.0422
[31] Di Paola, M; Failla, G; Pirrotta, A; Sofi, A; Zingales, M: The mechanically based non-local elasticity: an overview of main results and future challenges. Phil. Trans. R. Soc. A, 371, 20120433, (2013) · Zbl 1327.74023 · doi:10.1098/rsta.2012.0433
[32] Spanos, P; Elsbernd, P; Ward, B; Koenck, T: Estimation of the physical properties of nanocomposites by finite-element discretization and Monte Carlo simulation. Phil. Trans. R. Soc. A, 371, 20120494, (2013) · Zbl 1326.82016 · doi:10.1098/rsta.2012.0494
[33] Lenci, S; Rega, G; Ruzziconi, L: The dynamical integrity concept for interpreting/predicting experimental behaviour: from macro- to nano-mechanics. Phil. Trans. R. Soc. A, 371, 20120423, (2013) · Zbl 1392.70035 · doi:10.1098/rsta.2012.0423
[34] Elishakoff, I; Challamel, N; Soret, C; Bekel, Y; Gomez, T: Virus sensor based on single-walled carbon nanotube: improved theory incorporating surface effects. Phil. Trans. R. Soc. A, 371, 20120424, (2013) · Zbl 1327.74016 · doi:10.1098/rsta.2012.0424
[35] Aboudi, J; Ryvkin, M: The analysis of localized effects in composites with periodic microstructure. Phil. Trans. R. Soc. A, 371, 20120373, (2013) · Zbl 1327.74125 · doi:10.1098/rsta.2012.0373
[36] Melcher, JT; Champneys, AR; Wagg, DJ: The impacting cantilever: modal non-convergence and the importance of stiffness matching. Phil. Trans. R. Soc. A, 371, 20120434, (2013) · Zbl 1325.74113 · doi:10.1098/rsta.2012.0434
[37] Pratap, JV; Luisi, BF; Calladine, CR: Geometric principles in the assembly of {\(\alpha\)}-helical bundles. Phil. Trans. R. Soc. A, 371, 20120369, (2013) · doi:10.1098/rsta.2012.0369
[38] Hunt, GW; Dodwell, TJ; Hammond, J: On the nucleation and growth of kink and shear bands. Phil. Trans. R. Soc. A, 371, 20120431, (2013) · Zbl 1327.74047 · doi:10.1098/rsta.2012.0431
[39] Virgin, LN; Wiebe, R: On damping in the vicinity of critical points. Phil. Trans. R. Soc. A, 371, 20120426, (2013) · Zbl 1392.70036 · doi:10.1098/rsta.2012.0426
[40] Liu, Y; Wiercigroch, M; Ing, J; Pavlovskaia, E: Intermittent control of co-existing attractors. Phil. Trans. R. Soc. A, 371, 20120428, (2013) · Zbl 1327.93209 · doi:10.1098/rsta.2012.0428
[41] McRobie, A; Morgenthal, G; Abrams, D; Prendergast, J: Parallels between wind and crowd loading of bridges. Phil. Trans. R. Soc. A, 371, 20120430, (2013) · doi:10.1098/rsta.2012.0430
[42] Amabili, M: Reduced-order models for nonlinear vibrations, based on natural modes: the case of the circular cylindrical shell. Phil. Trans. R. Soc. A, 371, 20120474, (2013) · Zbl 1327.74073 · doi:10.1098/rsta.2012.0474
[43] Takács, D; Stépán, G: Contact patch memory of tyres leading to lateral vibrations of four-wheeled vehicles. Phil. Trans. R. Soc. A, 371, 20120427, (2013) · Zbl 1329.74312 · doi:10.1098/rsta.2012.0427
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