The interface between phases as a layer, Part II. A H-order model for two dimensional nonmaterial continua

Francesco Dell'Isola (1, 2) , W. Kosinski (3)

1 Dipartimento di Ingegneria Strutturale e Geotecnica
2 Laboratorio Strutture e Materiali Intelligenti - Fondazione Tullio Levi-Civita
3 IPPT - Institute of Fundamental Technological Research

We model the interlayer between phases as a 2D continuum accounting for its actual "3D" nature. This is done by defining on a reference surface interfacial quantities in the form of integrals along the thickness of the layer. Therefore it is possible to deduce the general surface balance law from the 3D one. The balance laws are derived for of all the first H moments of mass, linear momentum and angular momentum. This procedure yields surface angular momentum balances Galilean invariant. Finally a Kirchhoff-Love type interface is defined and shortly discussed by means of a first-order model.

Domaines: Mécanique [physics.med-ph]

Francesco Dell'Isola, W. Kosinski. The interface between phases as a layer, Part II. A H-order model for two dimensional nonmaterial continua. 2010. ⟨hal-00505173⟩