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Titlebook: Variational Continuum Multiphase Poroelasticity; Theory and Applicati Roberto Serpieri,Francesco Travascio Book 2017 Springer Nature Singap

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書目名稱Variational Continuum Multiphase Poroelasticity
副標題Theory and Applicati
編輯Roberto Serpieri,Francesco Travascio
視頻videohttp://file.papertrans.cn/981/980572/980572.mp4
概述Collects the theoretical derivation of a variational macroscopic continuum theory together with applications to consolidation and stress partitioning problems of interest in geomechanics and biomechan
叢書名稱Advanced Structured Materials
圖書封面Titlebook: Variational Continuum Multiphase Poroelasticity; Theory and Applicati Roberto Serpieri,Francesco Travascio Book 2017 Springer Nature Singap
描述.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 strict
出版日期Book 2017
關(guān)鍵詞Multiphase Porous Media; VMTPM; Least-action Principle; Terzaghi‘s Stress Partitioning Principle; Biot‘s
版次1
doihttps://doi.org/10.1007/978-981-10-3452-7
isbn_softcover978-981-10-9876-5
isbn_ebook978-981-10-3452-7Series ISSN 1869-8433 Series E-ISSN 1869-8441
issn_series 1869-8433
copyrightSpringer Nature Singapore Pte Ltd. 2017
The information of publication is updating

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Variational Macroscopic Two-Phase Poroelasticity. Derivation of General Medium-Independent Equationhe proposed theory proceeds from the consideration of a minimal set of kinematic descriptors and keeps a specific focus on the derivation of most general . governing equations, which have a form independent from the particular constitutive relations and thermodynamic constraints characterizing a spe
地板
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,The Linear Isotropic Variational Theory and the Recovery of Biot’s Equations, the resulting isotropic theory are derived with the special forms achieved by the governing PDEs for hyperbolic and parabolic problems. Next, the hyperbolic system is deployed to analyze the propagation of purely elastic waves. The chapter is concluded with a section dedicated to a comparison betwe
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發(fā)表于 2025-3-22 12:17:59 | 只看該作者
,Stress Partitioning in Two-Phase Media: Experiments and Remarks on Terzaghi’s Principle,been reached on the formulation of a stress partitioning law encompassing all observed experimental evidences in two-phase media, and on the range of applicability of such a law. This chapter has two main objectives. The first one is to show the capability of the variational poroelastic theory devel
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Analysis of the Quasi-static Consolidation Problem of a Compressible Porous Medium,of the consolidation problem recover Terzaghi’s law. Also, it is shown that a dimensionless parameter (.), which solely depends on mixture porosity and Poisson ratio of the solid phase, governs the consolidation of the poroelastic system.
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發(fā)表于 2025-3-23 03:52:12 | 只看該作者
1869-8433 tress, 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 strict978-981-10-9876-5978-981-10-3452-7Series ISSN 1869-8433 Series E-ISSN 1869-8441
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