Blurred constitutive laws and bipotential convex covers

TL;DR

This paper introduces a method using bipotential convex covers to model uncertain mechanical behaviors represented by families of graphs, enhancing the ability to handle blurred constitutive laws.

Contribution

It demonstrates how bipotential convex covers can effectively model blurred constitutive laws with uncertain mechanical behaviors.

Findings

Bipotential convex covers can represent families of graphs for uncertain behaviors.

The method captures blurred constitutive laws in practical situations.

Enhances modeling of mechanical uncertainties.

Abstract

In many practical situations, incertitudes affect the mechanical behaviour that is given by a family of graphs instead of a single one. In this paper, we show how the bipotential method is able to capture such blurred constitutive laws, using bipotential convex covers.