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

Guido Borino, Francesco Parrinello, Castrenze Polizzotto

Risultato della ricerca: Other

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.
Lingua originaleEnglish
Pagine452-461
Numero di pagine10
Stato di pubblicazionePublished - 2017

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Tensors
Elasticity
Momentum

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering
  • Mechanics of Materials

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Hellinger-Reissner variational principle for stress gradient elastic bodies with embedded coherent interfaces. / Borino, Guido; Parrinello, Francesco; Polizzotto, Castrenze.

2017. 452-461.

Risultato della ricerca: Other

Borino, G, Parrinello, F & Polizzotto, C 2017, 'Hellinger-Reissner variational principle for stress gradient elastic bodies with embedded coherent interfaces', pagg. 452-461.
Borino G, Parrinello F, Polizzotto C. Hellinger-Reissner variational principle for stress gradient elastic bodies with embedded coherent interfaces. 2017.
Borino, Guido ; Parrinello, Francesco ; Polizzotto, Castrenze. / Hellinger-Reissner variational principle for stress gradient elastic bodies with embedded coherent interfaces. 10 pag.
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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.",
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AU - Parrinello, Francesco

AU - Polizzotto, Castrenze

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N2 - 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.

AB - 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.

KW - HR Variational Principle

KW - Stress gradient elasticity

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SP - 452

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ER -

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