\`x^2+y_1+z_12^34\`
Advanced Search
Advanced Search
Advanced Search
This issue Previous Article Next Article
Article Contents
Article Contents
2009, Volume 4, Issue 4: 667-708. Doi: 10.3934/nhm.2009.4.667
This issue Previous Article Homogenization of a model of displacement with unbounded viscosity Next Article Spectrum analysis of a serially connected Euler-Bernoulli beams problem

Discrete-to-continuum limits for strain-alignment-coupled systems: Magnetostrictive solids, ferroelectric crystals and nematic elastomers

  • 1.

    Dipartimento di Matematica e Applicazioni "R. Caccioppoli”, Università di Napoli Federico II, Via Cintia, 80126 Napoli

  • 2.

    SISSA-International School for Advanced Studies, Via Beirut 2-4, 34014 Trieste

Received:  January 2009
Revised:  June 2009
Published:  December 2009
Abstract / Introduction Related Papers Cited by
    Abstract
  • In the framework of linear elasticity, we study the limit of a class of discrete free energies modeling strain-alignment-coupled systems by a rigorous coarse-graining procedure, as the number of molecules diverges. We focus on three paradigmatic examples: magnetostrictive solids, ferroelectric crystals and nematic elastomers, obtaining in the limit three continuum models consistent with those commonly employed in the current literature. We also derive the correspondent macroscopic energies in the presence of displacement boundary conditions and of various kinds of applied external fields.
    Mathematics Subject Classification: Primary: 49J45, 49M25; Secondary: 74B05, 76A15, 82D45, 82D40.

    Citation:
    shu

    \begin{equation} \\ \end{equation}
    • Related Papers
  • Cited by
  • Access History
  • 加载中
PDF
XML
Export Citation
SHARE
Email to a Friend

Article Metrics

HTML views() PDF downloads(192) Cited by(0)

Access History

Other Articles By Authors

Catalog

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return
    Site map Copyright © 2025 American Institute of Mathematical Sciences