Boundary Conditions at Fluid-Permeable Interfaces in Porous Media: a Variational Approach

By Francesco dell'Isola, A. Madeo, Pierre Seppecher. 2009

190 citations recorded by the source corpus.

Subfields: Computational Mechanics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/7ec6218d7641050a7a62cde4bdf27d838707e655

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In Computational Mechanics

In Mechanics of Materials

Citations in the corpus

Linear pantographic sheets: Asymptotic micro-macro models identification (2017, unknown): “A phenomenological approach can applied at the macroscopic scale: it gives a general framework and in general it is based on variational principles and methods ([70, 90, 50, 53, 22, 41, 38, 64]); however, using this approach it is not possible to make the influence of microstructure on macrophenomen”
Second-gradient continua as homogenized limit of pantographic microstructured plates: a rigorous proof (2015, background): “, [30–35]) and in general to the study of a very wide and diverse set of multi-physics systems (see, e.”
Constitutive models for strongly curved beams in the frame of isogeometric analysis (2016, methodology): “Furthermore, the variational techniques presented in [56], being adapted to dissipative phenomena, may be used in this context.”
Two‐phase flows in karstic geometry (2014, methodology): “The last velocity interface boundary condition is exactly the Beavers-Joseph-SaffmanJones interface boundary condition [10, 12, 14, 15, 60, 61, 62, 63, 64, 65] with the slip coefficient β equal to the Beavers-Joseph-Saffman-Jones coefficient αBJSJ .”
Micromechanics based second gradient continuum theory for shear band modeling in cohesive granular materials following damage elasticity (2012, methodology): “The systematic application of the method of virtual power, as presented by Germain, is attractive since it leads to unambiguous formulations and physically meaningful boundary conditions (dell’Isola and Seppecher, 1995, 1997, dell’Isola et al., 2009, 2011).”