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_bS477 2017 EB
100 1 _aSerpieri, Roberto,
_eautor
245 1 0 _aVariational continuum multiphase poroelasticity :
_btheory and applications
_cRoberto Serpieri, Francesco Travascio.
264 1 _aSingapore
_bSpringer
_c2017
300 _a1 recurso en línea
336 _aTexto
_btxt
_2rdacontent
337 _aelectrónico
_bc
_2rdamedia
338 _arecurso electrónico
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 0 _aAdvanced structured materials
_x1869-8433
_vvolume 67
500 _aSpringerLink
_bSpringer Engineering eBooks 2017 English+International
504 _aIncluye referencias bibliográficas
505 0 _aForeword; Preface; Contents; 1 Variational Multi-phase Continuum Theories of Poroelasticity: A Short Retrospective; 1.1 Introduction; 1.2 Variational Theories from the 70s to the 80s; 1.2.1 Cowin's Theory; 1.2.2 Mindlin's Variational Single-Phase Theory; 1.2.3 The Variational Theory of Immiscible and Structured Mixtures by Bedford and Drumheller; 1.3 Most Recent Theories; 1.3.1 Variational Theories by Lopatnikov and Co-workers; 1.3.2 Variational Higher Gradient Theories by dell'Isola and Co-workers; 1.4 Conclusions; References.
505 8 _a2 Variational Macroscopic Two-Phase Poroelasticity. Derivation of General Medium-Independent Equations and Stress Partitioning Laws2.1 Introduction; 2.2 Variational Formulation; 2.2.1 Basic Configuration Descriptors; 2.2.2 Variational Formulation; 2.2.3 Integral Equations; 2.2.4 Strong Form Equations; 2.2.5 Additional Solid-Fluid Interaction; 2.2.6 The Kinematically-Linear Medium-Independent Problem; 2.2.7 Equations for Static and Quasi-static Problems; 2.3 Discussion and Conclusions; References; 3 The Linear Isotropic Variational Theory and the Recovery of Biot's Equations; 3.1 Introduction.
505 8 _a3.2 Two-Phase Medium-Independent Variational Equations for Infinitesimal Perturbations; 3.3 Linear Elastic Isotropic Constitutive Theory with Volumetric-Deviatoric Uncoupling; 3.4 Governing PDEs for the Isotropic Linear Problem; 3.4.1 baru(s)-baru(f) Hyperbolic PDEs with Inertial Terms; 3.4.2 Analysis of Wave Propagation; 3.4.3 PDE for Static and Quasi-static Interaction; 3.5 Bounds and Estimates of Elastic Moduli; 3.5.1 Basic Application of CSA; 3.5.2 Application of CSA to the Extrinsic/Intrinsic Description; 3.6 The Limit of Vanishing Porosity; 3.7 Comparison with Biot's Theory and Concluding Remarks; References.
505 8 _a4 Stress Partitioning in Two-Phase Media: Experiments and Remarks on Terzaghi's Principle4.1 Introduction; 4.2 Boundary Conditions with Unilateral Contact; 4.3 Kinematic and Static Characterization of Undrained Flow Conditions; 4.3.1 Static Characterization of Undrained Flow; 4.4 Stress Partitioning in Ideal Compression Tests; 4.4.1 Ideal Jacketed Drained Test; 4.4.2 Ideal Unjacketed Test; 4.4.3 Ideal Jacketed Undrained Test; 4.4.4 Creep Test with Controlled Pressure; 4.5 Analysis of Nur and Byerlee Experiments; 4.5.1 Determination of bare(s); 4.5.2 Estimates of (s).
505 8 _a4.6 Domain of Validity of Terzaghi's Principle According to VMTPM4.6.1 Recovery of Terzaghi's Law for Cohesionless Frictional Granular Materials; 4.6.2 Extensibility of Terzaghi's Effective Stress and Terzaghi's Principle Beyond Cohesionless Granular Materials; 4.7 Discussions and Conclusions; References; 5 Analysis of the Quasi-static Consolidation Problem of a Compressible Porous Medium; 5.1 Introduction; 5.2 Theoretical Background; 5.2.1 Dimensionless Analysis; 5.2.2 Semi-analytical Solution of the Stress-Relaxation Problem; 5.2.3 Numerical Solutions; 5.3 Discussion and Conclusions.
520 3 _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 7 _aMecánica de medios continuos
_2embne
_0(OCoLC)fst00876787
_0
_9142188
700 1 _aTravascio, Francesco,
_eautor
856 4 0 _uhttps://go.openathens.net/redirector/universidadeuropea.es?url=http://link.springer.com/10.1007/978-981-10-3452-7
_zAcceso a este recurso digital (usuarios Universidad Europea de Madrid)
988 _aEBOOK, asignarmaterias, EBSPRINGER_2017B
998 _b02/2018
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_zSI
999 _c95269
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