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020 _a9789811034527
_9978-981-10-3452-7
024 7 _a10.1007/978-981-10-3452-7
_2doi
050 4 _aTA349-359
072 7 _aTGMD
_2bicssc
072 7 _aSCI096000
_2bisacsh
072 7 _aTGMD
_2thema
082 0 4 _a620.105
_223
100 1 _aSerpieri, Roberto.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_957779
245 1 0 _aVariational Continuum Multiphase Poroelasticity
_h[electronic resource] :
_bTheory and Applications /
_cby Roberto Serpieri, Francesco Travascio.
250 _a1st ed. 2017.
264 1 _aSingapore :
_bSpringer Nature Singapore :
_bImprint: Springer,
_c2017.
300 _aXIII, 198 p. 20 illus., 16 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aAdvanced Structured Materials,
_x1869-8441 ;
_v67
505 0 _aVariational 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. .
520 _aThis 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. .
650 0 _aMechanics, Applied.
_93253
650 0 _aSolids.
_93750
650 0 _aMaterials—Analysis.
_957780
650 1 4 _aSolid Mechanics.
_931612
650 2 4 _aCharacterization and Analytical Technique.
_957781
700 1 _aTravascio, Francesco.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_957782
710 2 _aSpringerLink (Online service)
_957783
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9789811034510
776 0 8 _iPrinted edition:
_z9789811034534
776 0 8 _iPrinted edition:
_z9789811098765
830 0 _aAdvanced Structured Materials,
_x1869-8441 ;
_v67
_957784
856 4 0 _uhttps://doi.org/10.1007/978-981-10-3452-7
912 _aZDB-2-ENG
912 _aZDB-2-SXE
942 _cEBK
999 _c80015
_d80015