Blurred Constitutive Laws and Bipotential Convex Covers

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

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Bibliographic Details
Published in:Mathematics and mechanics of solids 2011-03, Vol.16 (2), p.161-171
Main Authors: de Saxcé, Géry, Buliga, Marius, Vallée, Claude
Format: Article
Language:English
Subjects:
Blurred
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Graphs
Laws
Mathematical analysis
Mechanical contact (friction...)
Physics
Solid mechanics
Structural and continuum mechanics
Uncertainty
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Description
Summary:In many practical situations, uncertainties affect the mechanical behavior that is given by a family of graphs instead of a single graph. In this paper, we show how the bipotential method is able to capture such blurred constitutive laws, using bipotential convex covers.
ISSN:1081-2865
1741-3028
DOI:10.1177/1081286509344878