13 citations · 14 across the 13 of their papers we have counts for
13 papers
On the feasible set of a membrane shell under confinement. Smooth inactive admissible displacements are dense
Paolo Piersanti
We establish a density property for the obstacle problem of a linearly elastic elliptic membrane shell required to remain confined in a prescribed half-space. For a bounded Lipschi…
Diffuse Adiabatic Flows in Thermally Coupled Grounded Shallow Ice Sheets: Modelling and Analysis
Paolo Piersanti
In this article we propose a novel thermodynamical model which couples the evolution of the thickness of a grounded shallow ice sheet with the evolution of its internal temperature…
On the justification of Koiter's model for elliptic membranes subjected to an interior normal compliance contact condition
Paolo Piersanti
The purpose of this paper is twofold. First, we rigorously justify Koiter's model for linearly elastic elliptic membrane shells in the case where the shell is subject to a geometri…
Existence of solutions for time-dependent Signorini-type problems in linearised viscoelasticity
Paolo Piersanti
In this paper we establish the existence of solutions for a model describing the evolution of a linearly viscoelastic body which is constrained to remain confined in a prescribed h…
On the justification of Koiter's model for generalised membrane shells of the "first kind'' confined in a half-space
Paolo Piersanti
In this paper we justify Koiter's model for linearly elastic generalised membrane shells of the first kind subjected to remaining confined in a prescribed half-space. After showing…
Geometrical mixed finite element methods for fourth order obstacle problems in linearised elasticity
Paolo Piersanti, Tianyu Sun
This paper is devoted to the study of a novel mixed Finite Element Method for approximating the solutions of fourth order variational problems subjected to a constraint. The first…