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…
Numerical approximation of the solution of Koiter's model for an elliptic membrane shell subjected to an obstacle via the penalty method
Xin Peng, Paolo Piersanti, Xiaoqin Shen
This paper is devoted to the analysis of a numerical scheme based on the Finite Element Method for approximating the solution of Koiter's model for a linearly elastic elliptic memb…
Numerical approximation of the solution of an obstacle problem modelling the displacement of elliptic membrane shells via the penalty method
Aaron Meixner, Paolo Piersanti
In this paper we establish the convergence of a numerical scheme based, on the Finite Element Method, for a time-independent problem modelling the deformation of a linearly elastic…
On the dynamics of shallow ice sheets. Modelling and analysis
Paolo Piersanti, Roger Temam
We formulate a model describing the evolution of thickness in a shallow ice sheet lying over a lithosphere. The model is thus governed by a set of variational inequalities that inv…
A three-dimensional discrete model for approximating the deformation of a viral capsid subjected to lying over a flat surface
Paolo Piersanti, Kristen White, Bogdan Dragnea +1
In this paper we present a three-dimensional discrete model governing the deformation of a viral capsid, modelled as a regular icosahedron and subjected not to cross a given flat r…
Numerical validation of Koiter's model for all the main types of linearly elastic shells in the static case
Wangxi Duan, Paolo Piersanti, Xiaoqin Shen +1
In this paper, we validate the main theorems establishing the justification of Koiter's model, established by Ciarlet and his associates, for all the types of linearly elastic shel…
Modelling Virus Contact Mechanics under Atomic Force Imaging Conditions
Paolo Piersanti, Kristen White, Bogdan Dragnea +1
In this paper we present a discrete model governing the deformation of a convex regular polygon subjected not to cross a given flat rigid surface, on which it initially lies in cor…
Asymptotic analysis of linearly elastic flexural shells subjected to an obstacle in absence of friction
Paolo Piersanti
In this paper we identify a set of two-dimensional variational inequalities that model the displacement of a linearly elastic flexural shell subjected to a confinement condition, e…