Lattice-Type Structures

  • Doina Cioranescu
  • Jeannine Saint Jean Paulin
Part of the Applied Mathematical Sciences book series (AMS, volume 136)


Our main interest in this work is lattice-type structures that are characterized by two properties: periodicity and small thickness of the material. We have several types of such structures that consist of identical cells periodically distributed in all directions, reticulated structures (see Figure 2.1); or in two directions, gridworks (see Figure 2.2); or in only one direction, tall structures (see Figure 2.3). If the material is concentrated along layers, then we speak about honeycomb structures (Figure 2.4), and if along bars, then reinforced structures (see Figure 2.5).


Honeycomb Structure Lame Constant Representative Cell Ellipticity Condition Perforated Domain 
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Copyright information

© Springer-Verlag New York, Inc. 1999

Authors and Affiliations

  • Doina Cioranescu
    • 1
  • Jeannine Saint Jean Paulin
    • 2
  1. 1.Laboratoire d’Analyse NumériqueUniversité Paris VI et CNRSParis Cedex 05France
  2. 2.Départment de MathèmatiqueUniversité de MetzMetz Cedex 01France

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