1) Surface phenomena of gradient materials
Continuum Mech. Thermodyn. (2021)
The article explains the existence of a crust shell
on a free surface and of edge beams where patches
of a free surface meet, independent of any constitutive
assumptions
2) The crust shell and the edge beams of third-gradient
continua in current and referential description
Acta Mechanica (2023)
The article investigates the connection between the current and
the referential representation of free surface boundary conditions
Moreover, an example shows that the treatment of fictitious cuts
in the same manner as free surfaces (namely the application of the
divergence theorem of surfaces without any physical reason) may
produce absurd results
3) Surface tension and reaction stresses of a
linear incompressible second gradient fluid
Continuum Mech. Thermodyn. (2021)
The article contains:
a) A discussion of boundary conditions and surface tension,
independent of the constitutive behavior
b) The investigation of a stirring process with free surface