Abstract
A clear-cut definition of non-classical continuum mechanics can be given only by a negation, so that we need recall what is understood (by us) by “classical continuum mechanics”.
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References
Cauchy A.L.: Sur les équations qui expriment l’équilibre ou les lois du mouvement intérieur d’un corps solide élastique ou non élastique, Exercices de mathématiques, Vol. 3, pp. 160–187, Sept. 1828 [This is the fons et origo of modern continuum mechanics, presenting in print the ideas originally submitted to the Paris Academy of Sciences on September 30, 1822] (1828)
Eringen A.C.: Mechanics of continua. Wiley, New York (Second revised and enlarged edition, Kruger, Melbourne, Fl. 1980) (1967)
Eringen A.C. Nonlinear theory of continuous media, McGrawHill, New York (1962)
Germain, P.: La méthode des puissances virtuelles en mécanique des milieux continus-I: Théorie du second gradient. J. de Mécanique (Paris) 12, 235–274 (1973)
Hellinger E.: Die allgemein Ansätze der Mechanik der Kontinua. In: Enz. Math.Wiss. Eds F. Klein and C.H. Müller, Vol. 4, Part 4, Article 30, pp. 602–694, Springer, Berlin (1914)
Maugin, G.A.: The principle of virtual power in continuum mechanics: Applications to coupled fields. Acta Mech. 30, 1–70 (1980)
Maugin, G.A.: Continuum mechanics of electromagnetic solids. North-Holland, Amsterdam (1988)
Maugin, G.A.: The Thermomechanics of Plasticity and Fracture. Cambridge University Press, UK (1992)
Maugin, G.A.: A historical perspective of generalized continuum mechanics. In: Altenbach, H., Maugin, G.A., Erofeev, V. (eds.) Mechanics of Generalized Continua, pp. 1–19. Springer, Berlin/Heidelberg (2011)
Maugin, G.A.: Continuum Mechanics Through the Twentieth Century (A Concise Historical Perspective). Springer, Dordrecht (2013)
Maugin, G.A.: Continuum Mechanics Through the Eighteenth and Nineteenth Centuries. Springer, Dordrecht (2014)
Nowaki, W.: Dynamic Problems of Thermoelasticity. Noordoff, Leyden (1975)
Truesdell C.A., Toupin, R.A.: The classical theory of fields, Handbuch der Physik, Ed. S.Flügge, Bd III/1, Springer, Berlin (1960)
Truesdell C.A., Noll W.: The Nonlinear field theory of mechanics, Handbuch der Physik, Ed. S. Flügge, Bd III/3, Springer, Berlin (1965)
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Maugin, G.A. (2017). What Is Classical Continuum Mechanics?. In: Non-Classical Continuum Mechanics. Advanced Structured Materials, vol 51. Springer, Singapore. https://doi.org/10.1007/978-981-10-2434-4_1
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DOI: https://doi.org/10.1007/978-981-10-2434-4_1
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