An Hellinger-Reissner (H-R) variational principle is proposed for stress gradient elasticity material models. Stress gradient elasticity is an emerging branch of non-simple constitutive elastic models where the infinitesimal strain tensor is linearly related to the Cauchy stress tensor and to its Laplacian. The H-R principle here proposed is particularized for a solid composed by several sub-domains connected by coherent interfaces, that is interfaces across the which both displacement and traction vectors are continuous. In view of possible stress-based finite element applications, a reduced form of the H-R principle is also proposed in which the field linear momentum balance equations are satisfied a-priori, the continuity condition of the displacements across the interfaces is relaxed and the analogous continuity condition of the traction is enforced as a side condition.

Borino, G., Parrinello, F., Polizzotto, C. (2017). Hellinger-Reissner variational principle for stress gradient elastic bodies with embedded coherent interfaces. In Proceedings of the XXIII Conference of the Italian Association of Theoretical and Applied Mechanics, AIMETA 2017 (pp. 452-461). Salerno : Genchi Edizioni by Centro Servizi di Ateneo Sr.L.

Hellinger-Reissner variational principle for stress gradient elastic bodies with embedded coherent interfaces

Borino, G.
;
Parrinello, F.;Polizzotto, C.
2017-01-01

Abstract

An Hellinger-Reissner (H-R) variational principle is proposed for stress gradient elasticity material models. Stress gradient elasticity is an emerging branch of non-simple constitutive elastic models where the infinitesimal strain tensor is linearly related to the Cauchy stress tensor and to its Laplacian. The H-R principle here proposed is particularized for a solid composed by several sub-domains connected by coherent interfaces, that is interfaces across the which both displacement and traction vectors are continuous. In view of possible stress-based finite element applications, a reduced form of the H-R principle is also proposed in which the field linear momentum balance equations are satisfied a-priori, the continuity condition of the displacements across the interfaces is relaxed and the analogous continuity condition of the traction is enforced as a side condition.
2017
Settore ICAR/08 - Scienza Delle Costruzioni
978-889-42484-7-0
Borino, G., Parrinello, F., Polizzotto, C. (2017). Hellinger-Reissner variational principle for stress gradient elastic bodies with embedded coherent interfaces. In Proceedings of the XXIII Conference of the Italian Association of Theoretical and Applied Mechanics, AIMETA 2017 (pp. 452-461). Salerno : Genchi Edizioni by Centro Servizi di Ateneo Sr.L.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/263388
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