Overview
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 externalstress, 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.
Full Product Details
Author: Roberto Serpieri ,
Francesco Travascio
Publisher: Springer Verlag, Singapore
Imprint: Springer Verlag, Singapore
Edition: Softcover reprint of the original 1st ed. 2017
Volume: 67
Dimensions:
Width: 15.50cm
, Height: 1.10cm
, Length: 23.50cm
Weight: 0.454kg
ISBN: 9789811098765
ISBN 10: 981109876
Pages: 198
Publication Date: 04 May 2018
Audience:
Professional and scholarly
,
Professional & Vocational
Format: Paperback
Publisher's Status: Active
Availability: Manufactured on demand
We will order this item for you from a manufactured on demand supplier.
Reviews
This book presents the derivation and some applications of a general two-phase variational continuum theory with microstructure developed by the authors of the book. ... The book is well-written and is a notable contribution to the field of porous media. The mathematical concepts are clearly presented and the introduction and discussion of each chapter provide important insights into the chapter's topic. (Corina-Stefania Dracapa, Mathematical Reviews, October, 2018)
“This book presents the derivation and some applications of a general two-phase variational continuum theory with microstructure developed by the authors of the book. … The book is well-written and is a notable contribution to the field of porous media. The mathematical concepts are clearly presented and the introduction and discussion of each chapter provide important insights into the chapter’s topic.” (Corina-Ștefania Dracapa, Mathematical Reviews, October, 2018)
