Phase transitions with interfacial energy: convexity conditions and the existence of minimizers

  • M. Šilhavý
Part of the CISM International Centre for Mechanical Sciences book series (CISM, volume 516)


The article presents a variational theory of sharp phase interfaces bearing a deformation dependent energy. The theory involves both the standard and Eshelby stresses. The constitutive theory is outlined including the symmetry considerations and some particular cases. The existence of phase equilibria is proved based on appropriate convexity properties of the interfacial energy. Some generalization of the convexity properties is given and a relationship established to the semiellipticity condition from the theory of parametric integrals over rectifiable currents.


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© CISM, Udine 2010

Authors and Affiliations

  • M. Šilhavý
    • 1
  1. 1.Institute of Mathematics of the AV ČRPrague 1Czech Republic

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