Deduction of thermodynamic balance laws for bidimensional nonmaterial directed continua modelling interphase layers

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

An Heuristic Method for the solution of some contradictions arising in the formulation of direct models for nonmaterial interphase layers is proposed. The novelty of the method consist in its use as a guide for the formulation of the right balance laws for a pretty new object: nonmaterial bidimensional continua. By means of an integration across the thickness of the layer starting from balance laws which are valid for 3D nonpolar continua, new 2D balance laws are derived. In modelling surface phenomena associated with interfaces, between phases a notion of "interfacial thickness" that could vary both with respect to time and along the interface itself, is recognized, even when the interphase layer is modeled as a 2D continuum.

Domaines: Mécanique [physics.med-ph]

Francesco Dell'Isola, W. Kosinski. Deduction of thermodynamic balance laws for bidimensional nonmaterial directed continua modelling interphase layers. Archives of Mechanics, 1993, pp.27. ⟨hal-00502045⟩