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- Pierre Seppecher
- 2010

We consider continuous media in which contact edge forces are present. Introducing the notion of quasibalanced contact force distribution, we are able to prove the conjectures made in [Noll, 1990] concerning the representation of contact edge forces. We first generalise the Noll theorem on Cauchy postulate. Then we adapt the celebrated Cauchy tetrahedron… (More)

- Francesco dell’Isola, Pierre Seppecher, Angela Madeo
- 2012

Navier-Cauchy format for Continuum Mechanics is based on the concept of contact interaction between subbodies of a given continuous body. In this paper it is shown how -by means of the Principle of Virtual Powersit is possible to generalize Cauchy representation formulas for contact interactions to the case of N-th gradient continua, i.e. continua in which… (More)

- Pierre Seppecher
- 2017

-We establish the equations of motion of an isothermal viscous Cahn-Hilliard fluid and we investigate the dynamics of fluids having moving contact lines under this theory. The force singularity arising in the classical model of capillarity is no longer present. This removal is due to a mass transfer across the interface combined with a finite thickness of… (More)

- Jean-Jacques Alibert, Pierre Seppecher, Francesco Dell’Isola
- 2017

It is well known that the effective properties of a heterogeneous diffusive medium may contain a non-local part. We are interested in the set of all non-local interactions which can arise from homogenization. We consider a bounded domain Ω of IR and we show that any non-local energy of the kind ∫

- Catherine Pideri, Pierre Seppecher
- Asymptotic Analysis
- 2006

We consider functionals of the form F (u) = ∫ f(x,Du) dμ ( u ∈ D(R) ) where μ is a finite Borel measure on R, and their relaxation F with respect to the weak convergence of a suitable Sobolev space W 1,p μ . Applications to low dimensional structures and junctions are given.

- Francesco dell’Isola, Henri Gouin, Pierre Seppecher
- 2008

The classical theory of Laplace is not suitable for describing the behavior of microscopic bubbles. The theory of second gradient fluids (which are able to exert shear stresses in equilibrium conditions) allows us to obtain a new expression for surface tension and radius of these bubbles in terms of functionals of the chemical potential. This relationship… (More)

- Pierre Seppecher, Jean-Jacques Alibert, Francesco Dell’Isola, Francesco dell Isola
- 2011

We study the statics of some trusses, i.e. networks of nodes linked by linear springs. The trusses are designed in such a way that a few number of floppy modes are present and remain when considering the homogenized limit of the truss. We then obtain linear elastic materials with exotic mechanical interactions which cannot be described in the classical… (More)