Variational Continuum Multiphase Poroelasticity

Theory and Applications

Autor: Roberto Serpieri, Francesco Travascio

Jazyk:

Vazba: Pevná

Vydavatel: Springer Verlag, Singapore

Dostupnost: Skladem u dodavatele

Odesíláme za 10-13 dnů

2 286 Kč

This book collects the theoretical derivation of a recently presented general variational macroscopi...

Informace o knize

Autor

Roberto Serpieri, Francesco Travascio

Jazyk

Angličtina

Vazba

Kniha - Pevná

Vydáno

2017

Stránek

198

EAN

9789811034510

ISBN

9811034516

Enbook ID

15507526

Vydavatel

Springer Verlag, Singapore

Hmotnost

4439

Rozměry

155 x 235 x 18

Kompletní popis

This book collects the theoretical derivation of a recently presented general variational macroscopic continuum theory of multiphase poroelasticity (VMTPM), together with its applications to consolidation and stress partitioning problems of interest in several applicative engineering contexts, such as in geomechanics and biomechanics. The theory is derived based on a purely-variational deduction, rooted in the least-Action principle, by considering a minimal set of kinematic descriptors. The treatment herein considered keeps a specific focus on the derivation of most general medium-independent governing equations. It is shown that VMTPM recovers paradigms of consolidated use in multiphase poroelasticity such as Terzaghi's stress partitioning principle and Biot's equations for wave propagation. In particular, the variational treatment permits the derivation of a general medium-independent stress partitioning law, and the proposed variational theory predicts that the external stress, the fluid pressure, and the stress tensor work-associated with the macroscopic strain of the solid phase are partitioned according to a relation which, from a formal point of view, turns out to be strictly compliant with Terzaghi's law, irrespective of the microstructural and constitutive features of a given medium. Moreover, it is shown that some experimental observations on saturated sandstones, generally considered as proof of deviations from Terzaghi's law, are ordinarily predicted by VMTPM. As a peculiar prediction of VMTPM, the book shows that the phenomenon of compression-induced liquefaction experimentally observed in cohesionless mixtures can be obtained as a natural implication of this theory by a purely rational deduction. A characterization of the phenomenon of crack closure in fractured media is also inferred in terms of macroscopic strain and stress paths. Altogether the results reported in this monograph exemplify the capability of VMTPM to describe and predict a large class of linear and nonlinear mechanical behaviors observed in two-phase saturated materials.

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Variational Continuum Multiphase Poroelasticity

Theory and Applications

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