Abstract
Of great importance is the innovative and enduring influence that a well-organized professional society may have on the development of a science. This is the case of mechanical engineering with the American Society of Mechanical Engineers. As documented in this chapter, this society provided a specific forum to its members at a spot-on time. It brought a spirit that permeated many American works in continuum mechanics. This may be described as: good modelling (without too much abstraction and unnecessary formalism), good applied mathematics providing real applicable solutions with numbers and curves, and a specific interest in the relationship of these solutions with experimental facts. The prominent figure obviously is the founder of the Applied Mechanics Division of the ASME, Stephen P. Timoshenko. For easiness in presentation, a few most influential centres are highlighted in this chapter. These are Stanford (with Timoshenko himself), the M.I.T (with Eric Reissner), Brown (with William Prager) and Columbia (with Raymond Mindlin). Each of these is most representative of identified avenues of research: advanced strength of materials, mathematics applied to problems of engineering, tremendous and contagious developments in the theory of plasticity, and accurate dynamical theory of structural elements (e.g., plates and shells) and coupled fields (electroelasticity). This was to swarm all over the USA and then the whole world community of mechanics.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Abeyaratne R, Knowles JK (2006) Evolution of phase transitions: a continuum theory. Cambridge University Press, UK
Boley BA, Weiner JH (1960) Theory of thermal stresses. Wiley, New York
Budiansky B, Pearson CE (1956/1957), The variational principle and Galerkin’s procedure for nonlinear elasticity, Quart. J Appl Math 14:328–331
Drucker DC (1951) A more fundamental approach to plastic stress–strain relations. In: First US national congress of applied mechanics. ASME, New York pp. 487–491
Drucker DC, Prager W, Greenberg HJ (1952) Extended limit design theorems for continuous media. Quart J Appl Math. 9:301–309
Greenberg HJ (1949). On the variational principles of plasticity, Grad Div Appl Math, Brown Univ Report, A-11–54
Gurtin ME, Sternberg E (1962) On the theory of viscoelasticity. Arch Rat Mech Anal 11:291–356
Herrmann G (1974) R.D. Mindlin and applied mechanics. Pergamon Press, Oxford
Kestin J (1966) A course in thermodynamics, Blaisdell, Waltham, Mss. [Reprint: Hemisphere, Washington, 1979]
Mindlin RD (1936) Force at a point in the interior of a semi-infinite solid, physics. J Appl Physics 7:195–202
Mindlin RD (1989) Collected papers of RD Mindlin. In: Deresiewicz L, Bieniek MP, DiMaggio FL (eds) Springer, New York
Mindlin RD (2007) An introduction to the mathematical theory of vibrations of elastic plates. Yang J (ed) World Scientific, Singapore
Naghdi PM (1979) A brief history of the applied mechanics division of the ASME. J Appl Mech 46(4):723–749
Prager W (1949) Recent developments in the mathematical theory of plasticity. J Appl Phys 20:235–241
Prager W (1955) Problem der plastizitätstheorie. Birkhäuser, Basel
Prager W (1957) On ideal locking materials. Trans Soc Rheol 1:169–175
Prager W (1961) Einführung in die Kontinuumsmechanik, Birkhäuser, Basel (English translation: Introduction to mechanics of continua), Ginn and Co, Boston
Reissner E (1953) On a variational formulation for finite elastic deformations. J Math Phys 32:129–135
Rice JR (1968) Path-independent integral and the approximate analysis of strain concentrations by notches and cracks. Trans ASME J Appl Mech 33:379–385
Sternberg E (1964). On the analysis of thermal stresses in viscoelastic solids. In: Freudenthal AM, Boley BA, Liebowitz H (eds) High temperature structures and materials. pp 348–382, Pergamon Press, New York
Symonds PS (1951) Shakedown in continuous media. AS.M.E J Appl Mech 18:18–35
Tiersten HF (1969) Linear piezoelectric plate vibrations. Plenum, New York
Timoshenko SP (1930) Strength of materials, Part I and Part 2 (First edition), Van Nostrand Co
Timoshenko SP (1953) History of the strength of materials. McGraw-Hill, New York
Timoshenko SP, Gere JM (1961) Theory of elastic stability, 2nd edn. McGraw-Hill, New York
Timoshenko SP, Goodier JN (1951) Theory of elasticity (second edition). McGraw-Hill, New York
Timoshenko SP, Woinowsky-Krieger S (1959) Theory of plates and shells (second edition). McGraw-Hill, New York
Timoshenko SP, Young DH (1948) Advanced dynamics. McGraw-Hill, New York
Weiner JH (1983) Statistical mechanics of elasticity. Wiley, New York (Dover reprint, 2002)
Yang J (2007) An introduction to the mathematical theory of vibrations of elastic plates (by R.D. Mindlin). World Scientific, Singapore
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2013 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Maugin, G.A. (2013). The American Society of Mechanical Engineers Spirit. In: Continuum Mechanics Through the Twentieth Century. Solid Mechanics and Its Applications, vol 196. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-6353-1_4
Download citation
DOI: https://doi.org/10.1007/978-94-007-6353-1_4
Published:
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-007-6352-4
Online ISBN: 978-94-007-6353-1
eBook Packages: EngineeringEngineering (R0)