A note on the Hill–Ogden generalised strains

This brief contribution provides an overview of the Hill–Ogden generalised strain tensors, and some considerations on their representation in generalised (curvilinear) coordinates, in a fully covariant formalism that is adaptable to a more general theory on Riemannian manifolds. These strains may be...

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Bibliographic Details
Published in:Mathematics and mechanics of solids 2024-10, Vol.29 (10), p.1935-1946
Main Author: Federico, Salvatore
Format: Article
Language:English
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Summary:This brief contribution provides an overview of the Hill–Ogden generalised strain tensors, and some considerations on their representation in generalised (curvilinear) coordinates, in a fully covariant formalism that is adaptable to a more general theory on Riemannian manifolds. These strains may be naturally defined with covariant components or naturally defined with contravariant components. Each of these two macro-families is best suited to a specific geometrical context.
ISSN:1081-2865
1741-3028
DOI:10.1177/10812865241233675