Authors:
- Collects the theoretical derivation of a variational macroscopic continuum theory together with applications to consolidation and stress partitioning problems of interest in geomechanics and biomechanics
- Shows that the phenomenon of compression-induced liquefaction can be obtained as a natural implication of the theory
- Exemplifies the capability of VMTPM to describe and predict a large class of linear and nonlinear mechanical behaviors observed in two-phase saturated materials
- Includes supplementary material: sn.pub/extras
Part of the book series: Advanced Structured Materials (STRUCTMAT, volume 67)
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Table of contents (5 chapters)
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Front Matter
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Back Matter
About this book
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.
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Authors and Affiliations
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Dipartimento di Ingegneria, Universita degli Studi del Sannio di Benevento, Benevento, Italy
Roberto Serpieri
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University of Miami, Biomechanics Research Laboratory , Coral Gables, USA
Francesco Travascio
Bibliographic Information
Book Title: Variational Continuum Multiphase Poroelasticity
Book Subtitle: Theory and Applications
Authors: Roberto Serpieri, Francesco Travascio
Series Title: Advanced Structured Materials
DOI: https://doi.org/10.1007/978-981-10-3452-7
Publisher: Springer Singapore
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer Nature Singapore Pte Ltd. 2017
Hardcover ISBN: 978-981-10-3451-0Published: 25 January 2017
Softcover ISBN: 978-981-10-9876-5Published: 04 May 2018
eBook ISBN: 978-981-10-3452-7Published: 19 January 2017
Series ISSN: 1869-8433
Series E-ISSN: 1869-8441
Edition Number: 1
Number of Pages: XIII, 198
Number of Illustrations: 4 b/w illustrations, 16 illustrations in colour
Topics: Solid Mechanics, Characterization and Evaluation of Materials