TY - CONF

T1 - Hellinger-Reissner variational principle for stress gradient elastic bodies with embedded coherent interfaces

AU - Parrinello, Francesco

AU - Borino, Guido

AU - Polizzotto, Castrenze

PY - 2017

Y1 - 2017

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

KW - coherent interfaces

KW - HR Variational Principle

KW - Stress gradient elasticity

KW - coherent interfaces

UR - http://hdl.handle.net/10447/263388

UR - http://www.aimeta2017.unisa.it/node/52

M3 - Other

SP - 452

EP - 461

ER -