Balance at a Junction among Coherent Interfaces in Materials with Substructure

  • Gianfranco Capriz
  • Paolo Maria Mariano
Part of the Modeling and Simulation in Science, Engineering and Technology book series (MSSET)


The junction among coherent interfaces separating phases in continua exhibiting material substructure is modeled as a virtual bar endowed by its own measures of interaction (macro- and microstresses and self-forces); balance equations at the junction are derived within a multifield theory. To involve bodies with substructure is not an idle formal exercise; strong anchoring conditions at the boundary rarely allow the existence of smooth solutions. Thus interfaces are more frequent and junctions inevitable if overall substructural order need be preserved. Besides, our development frames together old remarks (e.g., a remark by Gibbs) and new suggestions. Also we have the chance, here, to return to some nontrivial open issues of the general theory.


Null Space Nematic Liquid Crystal Differential Inclusion Free Energy Density Discontinuity Surface 
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Copyright information

© Springer Science+Business Media New York 2004

Authors and Affiliations

  • Gianfranco Capriz
    • 1
  • Paolo Maria Mariano
    • 2
  1. 1.Dipartimento di MatematicaUniversità di PisaPisaItaly
  2. 2.Dipartimento di Ingegneria Strutturale e GeotecnicaUniversità di Roma “La Sapienza”RomaItaly

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