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Variational continuum multiphase por...

Serpieri, Roberto.

Variational continuum multiphase poroelasticitytheory and applications /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Variational continuum multiphase poroelasticityby Roberto Serpieri, Francesco Travascio.
其他題名:	theory and applications /
作者:	Serpieri, Roberto.
其他作者:	Travascio, Francesco.
出版者:	Singapore :Springer Singapore :2017.
面頁冊數:	xiii, 198 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Continuum mechanics.
電子資源:	http://dx.doi.org/10.1007/978-981-10-3452-7
ISBN:	9789811034527$q(electronic bk.)

Variational continuum multiphase poroelasticitytheory and applications /
Serpieri, Roberto.

Variational continuum multiphase poroelasticitytheory and applications /[electronic resource] :by Roberto Serpieri, Francesco Travascio. - Singapore :Springer Singapore :2017. - xiii, 198 p. :ill., digital ;24 cm. - Advanced structured materials,v.671869-8433 ;. - Advanced structured materials ;v.13..

Variational Multi-Phase Continuum Theories of Poroelasticity: a Short Retrospective -- Variational Macroscopic Two-Phase Poroelasticity. Derivation of General Medium-Independent Equations and Stress Partitioning Laws -- The Linear Isotropic Variational Theory and its Recovery of Biot's Equations -- Stress Partitioning in Two-Phase Media: Experiments and Remarks on Terzaghi's Principle -- Analysis of the Quasi-Static Consolidation Problem of a Compressible Porous Medium.

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.

ISBN: 9789811034527$q(electronic bk.)

Standard No.: 10.1007/978-981-10-3452-7doiSubjects--Topical Terms:

190274
Continuum mechanics.

LC Class. No.: QA808.2

Dewey Class. No.: 531

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520 $a 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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