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A Note on Reduced Strain Gradient Elasticity

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Generalized Models and Non-classical Approaches in Complex Materials 1

Part of the book series: Advanced Structured Materials ((STRUCTMAT,volume 89))

Abstract

We discuss the particular class of strain-gradient elastic material models which we called the reduced or degenerated strain-gradient elasticity. For this class the strain energy density depends on functions which have different differential properties in different spatial directions. As an example of such media we consider the continual models of pantographic beam lattices and smectic and columnar liquid crystals.

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Authors and Affiliations

  1. Gdańsk University of Technology, ul. Gabriela Narutowicza 11/12, 80-233, Gdańsk, Poland

    Victor A. Eremeyev

  2. International Research Center on Mathematics and Mechanics of Complex System (M&MOCS), Università di Roma “La Sapienza”, Universitá degli Studi dell’Aquila, Via Giovanni Gronchi 18 - Zona industriale di Pile, 67100, L’Aquila, Italy

    Francesco dell’Isola

Authors
  1. Victor A. Eremeyev
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  2. Francesco dell’Isola
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Correspondence to Victor A. Eremeyev .

Editor information

Editors and Affiliations

  1. Institut für Mechanik, Otto-von-Guericke-Universität, Magdeburg, Germany

    Holm Altenbach

  2. Université Pierre et Marie Curie, Institut Jean Le Rond d’Alembert, Paris, France

    Joël Pouget

  3. Université Pierre et Marie Curie, Institut Jean Le Rond d’Alembert, Paris, France

    Martine Rousseau

  4. Université Pierre et Marie Curie, Institut Jean Le Rond d'Alembert, Paris Cedex 05, France

    Bernard Collet

  5. Institut Jean le Rond d'Alembert, Université Pierre et Marie Curie, Paris, France

    Thomas Michelitsch

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Eremeyev, V.A., dell’Isola, F. (2018). A Note on Reduced Strain Gradient Elasticity. In: Altenbach, H., Pouget, J., Rousseau, M., Collet, B., Michelitsch, T. (eds) Generalized Models and Non-classical Approaches in Complex Materials 1. Advanced Structured Materials, vol 89. Springer, Cham. https://doi.org/10.1007/978-3-319-72440-9_15

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  • DOI: https://doi.org/10.1007/978-3-319-72440-9_15

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