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Micropolar Elasticity

  • Antonio Romano
  • Addolorata Marasco
Chapter
Part of the Modeling and Simulation in Science, Engineering and Technology book series (MSSET)

Abstract

The model of an elastic body S presented in the previous chapter cannot always be used to describe the behavior of a real body in a satisfactory way. In some cases, it can be usefully replaced by a more sophisticated model in which a set of one or more vectors, called directors, are associated with any point of S. We will now list some physical situations in which this model appears to be meaningful.

Keywords

Constitutive Equation Orthogonal Matrix Dissipation Inequality Objectivity Principle Adjoint Vector 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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  1. [13]
    I.-S. Liu, Method of Lagrange multipliers for exploitation of the entropy principle, Arch. Rat. Mech. Anal., 46, 131, 1972.MATHGoogle Scholar
  2. [70]
    J. B. Alblas, Continuum Mechanics of Media with Internal Structure(Istituto Nazionale di Alta Matematica, Symposia Mathematica), Vol.I, Academic, London, 1969.Google Scholar
  3. [59]
    A. C. Eringen, Foundations of Micropolar Thermoelasticity, InternationalCentre of Mechanical Sciences, Udine, 1970.Google Scholar
  4. [16]
    A. Romano, R. Lancellotta, A. Marasco, Continuum Mechanics Using Mathematica® : Fundamentals, Methods, and Applications, Birkhäuser, Boston, 2005.Google Scholar
  5. [61]
    A. C. Eringen, in: H. Liebowitz (ed) Theory of Micropolar Elasticity, Fracture, Vol. II, Academic, New York, 1968.Google Scholar
  6. [58]
    A. C. Eringen, C. Kafadar, Micropolar media, I: The classical theory,Int. J. Eng. Sci., 9, 271, 1971.CrossRefGoogle Scholar

Copyright information

© Birkhäuser Boston 2010

Authors and Affiliations

  1. 1.Dipartimento di Matematica e Applicazioni “R. Caccioppoli”Università degli Studi di Napoli “Federico II”NapoliItaly

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