Variational macroscopic two-phase poroelasticity. Derivation of general medium-independent equations and stress partitioning laws

Roberto Serpieri, Francesco Travascio

Research output: Chapter in Book/Report/Conference proceedingChapter

2 Scopus citations

Abstract

A macroscopic continuum theory of two-phase saturated porous media is derived by a purely variational deduction based on the least Action principle. The proposed theory proceeds from the consideration of a minimal set of kinematic descriptors and keeps a specific focus on the derivation of most general medium-independent governing equations, which have a form independent from the particular constitutive relations and thermodynamic constraints characterizing a specific medium. The kinematics of the microstructured continuum theory herein presented employs an intrinsic/extrinsic split of volumetric strains and adopts, as an additional descriptor, the intrinsic scalar volumetric strain which corresponds to the ratio between solid true densities before and after deformation. The present theory integrates the framework of the Variational Macroscopic Theory of Porous Media (VMTPM) which, in previous works, was limited to the variational treatment of the momentum balances of the solid phase alone. Herein, the derivation of the complete set momentum balances inclusive of the momentum balance of the fluid phase is attained on a purely variational basis. Attention is also focused on showing that the singular conditions, in which either the solid or the fluid phase are vanishing, are consistently addressed by the present theory, included conditions over free solid-fluid surfaces.

Original languageEnglish (US)
Title of host publicationAdvanced Structured Materials
PublisherSpringer Verlag
Pages17-73
Number of pages57
Volume67
DOIs
StatePublished - 2017

Publication series

NameAdvanced Structured Materials
Volume67
ISSN (Print)18698433
ISSN (Electronic)18698441

ASJC Scopus subject areas

  • Materials Science(all)

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    Serpieri, R., & Travascio, F. (2017). Variational macroscopic two-phase poroelasticity. Derivation of general medium-independent equations and stress partitioning laws. In Advanced Structured Materials (Vol. 67, pp. 17-73). (Advanced Structured Materials; Vol. 67). Springer Verlag. https://doi.org/10.1007/978-981-10-3452-7_2