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Rendiconti Lincei - Matematica e Applicazioni


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Volume 18, Issue 4, 2007, pp. 311–331
DOI: 10.4171/RLM/498

Published online: 2007-12-31

Geometry and balance of hyperstresses

Paolo Maria Mariano[1]

(1) Universita di Firenze, Italy

Surface hyperstress is introduced along a layer with vanishing thichness, a layer across which two second-grade elastic Cauchy bodies are glued. Surface balances are obtained by making use of the relative power of actions and of invariance requirements for the Lagrangian. The action of bulk hyperstress on vacancies, linear inclusions and cracks is also evaluated.

Keywords: Second jet bundle field theories, non-simple bodies, hyperstresses

Mariano Paolo Maria: Geometry and balance of hyperstresses. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 18 (2007), 311-331. doi: 10.4171/RLM/498