Variational Continuum Multiphase Poroelasticity

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Variational Continuum Multiphase Poroelasticity

Author : Roberto Serpieri
Publisher : Springer
ISBN 13 : 9811034524
Total Pages : 207 pages
Book Rating : 4.8/5 (11 download)

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Book Synopsis Variational Continuum Multiphase Poroelasticity by : Roberto Serpieri

Download or read book Variational Continuum Multiphase Poroelasticity written by Roberto Serpieri and published by Springer. This book was released on 2017-01-19 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 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.

Advances in Mechanics of Materials and Structural Analysis

Author : Holm Altenbach
Publisher : Springer
ISBN 13 : 3319705636
Total Pages : 463 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Advances in Mechanics of Materials and Structural Analysis by : Holm Altenbach

Download or read book Advances in Mechanics of Materials and Structural Analysis written by Holm Altenbach and published by Springer. This book was released on 2018-01-04 with total page 463 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a collection of contributions on the advanced mechanics of materials and mechanics of structures approaches, written in honor of Professor Kienzler. It covers various topics related to constitutive models for advanced materials, recent developments in mechanics of configuration forces, as well as new approaches to the efficient modeling and analysis of engineering structures.

Theoretical and Applied Mechanics

Author : Mario Di Paola
Publisher : Materials Research Forum LLC
ISBN 13 : 1644902435
Total Pages : 746 pages
Book Rating : 4.6/5 (449 download)

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Book Synopsis Theoretical and Applied Mechanics by : Mario Di Paola

Download or read book Theoretical and Applied Mechanics written by Mario Di Paola and published by Materials Research Forum LLC. This book was released on 2023-04-25 with total page 746 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents the proceedings of the XXV National Congress of the Italian Association of Theoretical and Applied Mechanics (Palermo, September 2022). The topics cover theoretical, computational, experimental and technical-applicative aspects. Chapters: Fluid Mechanics, Solid Mechanics, Structural Mechanics, Mechanics of Machine, Computational Mechanics, Biomechanics, Masonry Modelling and Analysis, Dynamical Systems in Civil and Mechanical Structures, Control and Experimental Dynamics, Mechanical Modelling of Metamaterials and Periodic Structures, Novel Stochastic Dynamics, Signal Processing Techniques for Civil Engineering Applications, Vibration-based Monitoring and Dynamic Identification of Historic Constructions, Modeling and Analysis of Nanocomposites and Small-Scale Structures, Gradient Flows in Mechanics and Continuum Physics, Multibody Systems Vibration Analysis, Mechanics of Renewable Energy Systems, Mathematical Modeling and Experimental Techniques for Quantification and Prediction of Fluid Dynamic Noise, and Advanced Process Mechanics. Keywords: Fluid Mechanics, Solid Mechanics, Structural Mechanics, Mechanics of Machine, Computational Mechanics, Biomechanics, Masonry Modelling and Analysis, Dynamical Systems in Civil and Mechanical Structures, Control and Experimental Dynamics, Mechanical Modelling of Metamaterials and Periodic Structures, Novel Stochastic Dynamics, Signal Processing Techniques for Civil Engineering Applications, Vibration-based Monitoring and Dynamic Identification of Historic Constructions, Modeling and Analysis of Nanocomposites and Small-Scale Structures, Gradient Flows in Mechanics and Continuum Physics, Multibody Systems Vibration Analysis, Mechanics of Renewable Energy Systems, Mathematical Modeling and Experimental Techniques for Quantification and Prediction of Fluid Dynamic Noise, and Advanced Process Mechanics.

Generalized Continua as Models for Classical and Advanced Materials

Author : Holm Altenbach
Publisher : Springer
ISBN 13 : 3319317210
Total Pages : 456 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Generalized Continua as Models for Classical and Advanced Materials by : Holm Altenbach

Download or read book Generalized Continua as Models for Classical and Advanced Materials written by Holm Altenbach and published by Springer. This book was released on 2016-04-15 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is devoted to an actual topic which is the focus world-wide of various research groups. It contains contributions describing the material behavior on different scales, new existence and uniqueness theorems, the formulation of constitutive equations for advanced materials. The main emphasis of the contributions is directed on the following items - Modelling and simulation of natural and artificial materials with significant microstructure, - Generalized continua as a result of multi-scale models, - Multi-field actions on materials resulting in generalized material models, - Theories including higher gradients, and - Comparison with discrete modelling approaches

Variational Models and Methods in Solid and Fluid Mechanics

Author : Francesco dell'Isola
Publisher : Springer Science & Business Media
ISBN 13 : 3709109833
Total Pages : 363 pages
Book Rating : 4.7/5 (91 download)

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Book Synopsis Variational Models and Methods in Solid and Fluid Mechanics by : Francesco dell'Isola

Download or read book Variational Models and Methods in Solid and Fluid Mechanics written by Francesco dell'Isola and published by Springer Science & Business Media. This book was released on 2012-01-15 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: F. dell'Isola, L. Placidi: Variational principles are a powerful tool also for formulating field theories. - F. dell'Isola, P. Seppecher, A. Madeo: Beyond Euler-Cauchy Continua. The structure of contact actions in N-th gradient generalized continua: a generalization of the Cauchy tetrahedron argument. - B. Bourdin, G.A. Francfort: Fracture. - S. Gavrilyuk: Multiphase flow modeling via Hamilton's principle. - V. L. Berdichevsky: Introduction to stochastic variational problems. - A. Carcaterra: New concepts in damping generation and control: theoretical formulation and industrial applications. - F. dell'Isola, P. Seppecher, A. Madeo: Fluid shock wave generation at solid-material discontinuity surfaces in porous media. Variational methods give an efficient and elegant way to formulate and solve mathematical problems that are of interest to scientists and engineers. In this book three fundamental aspects of the variational formulation of mechanics will be presented: physical, mathematical and applicative ones. The first aspect concerns the investigation of the nature of real physical problems with the aim of finding the best variational formulation suitable to those problems. The second aspect is the study of the well-posedeness of those mathematical problems which need to be solved in order to draw previsions from the formulated models. And the third aspect is related to the direct application of variational analysis to solve real engineering problems.

Poromechanics III - Biot Centennial (1905-2005)

Author : Younane N. Abousleiman
Publisher : CRC Press
ISBN 13 : 9780415889506
Total Pages : 858 pages
Book Rating : 4.8/5 (895 download)

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Book Synopsis Poromechanics III - Biot Centennial (1905-2005) by : Younane N. Abousleiman

Download or read book Poromechanics III - Biot Centennial (1905-2005) written by Younane N. Abousleiman and published by CRC Press. This book was released on 2005-05-01 with total page 858 pages. Available in PDF, EPUB and Kindle. Book excerpt: These proceedings represent the latest advances in the mechanics of porous materials, known as poromechanics. The porous materials considered are solids containing voids that are impregnated with fluid. The focus is on the mechanical interactions of the inhomogeneous solid with the single- or multi-phase fluid under the loading of mechanical force, fluid pressure, thermal, chemical, and magnetic fields. The response time can be in static, diffusional, and dynamic ranges. The length scale can start from nano, to micro, macro, and up to field scales. Its application covers many branches of science and engineering, including geophysics, geomechanics, composite materials, biomechanics, acoustics, seismicity, civil, mechanical, environmental, and petroleum engineering. The approaches taken include analytical, computational, and experimental. To honor the pioneering contributions of Maurice A. Biot (1905-1985) to poromechanics, the Biot Conference on Poromechanics was convened for the first time in Louvain-la-Neuve, Belgium in 1998. The success of the first conference led to the 2nd Biot Conference held in Grenoble, France in 2002. To celebrate the centennial birthday of Biot (May 25, 2005), the 3rd Biot Conference on Poromechanics was held at the University of Oklahoma, Norman, Oklahoma, U.S.A., on May 24-27, 2005.

Poromechanics II

Author : J.L. Auriault
Publisher : CRC Press
ISBN 13 : 1000151247
Total Pages : 978 pages
Book Rating : 4.0/5 (1 download)

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Book Synopsis Poromechanics II by : J.L. Auriault

Download or read book Poromechanics II written by J.L. Auriault and published by CRC Press. This book was released on 2020-12-18 with total page 978 pages. Available in PDF, EPUB and Kindle. Book excerpt: These proceedings deal with the fundamentals and applications of poromechanics to geomechanics, material sciences, geophysics, acoustics and biomechanics. They discuss the state of the art in such topics as constitutive modelling and upscaling methods.

Applied mechanics reviews

Author :
Publisher :
ISBN 13 :
Total Pages : 400 pages
Book Rating : 4.3/5 (243 download)

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Book Synopsis Applied mechanics reviews by :

Download or read book Applied mechanics reviews written by and published by . This book was released on 1948 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mechanics of Porous and Fractured Media

Author : Viktor Nikolaevich Nikolaevski?
Publisher : World Scientific
ISBN 13 : 9789971503833
Total Pages : 496 pages
Book Rating : 4.5/5 (38 download)

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Book Synopsis Mechanics of Porous and Fractured Media by : Viktor Nikolaevich Nikolaevski?

Download or read book Mechanics of Porous and Fractured Media written by Viktor Nikolaevich Nikolaevski? and published by World Scientific. This book was released on 1990 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: In a significantly revised English edition the text provides a solid course on mechanics of porous & fractured media (mainly of geomaterials). Part I focuses on the continuum theory of the dynamic fracture and deformation of bodies with complex rheology, including the dilatancy theory. Applications are connected with dynamics large scale processes, blast waves and with structure of the Earth's crust. Part II focuses on the effects of fluid saturation of pores and transfer phenomena. Applications are connected with seismic waves, oil and gascondensate recovery, explosion works, physico-chemical processes.

Porous Media

Author : Wolfgang Ehlers
Publisher : Springer Science & Business Media
ISBN 13 : 3662049996
Total Pages : 459 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Porous Media by : Wolfgang Ehlers

Download or read book Porous Media written by Wolfgang Ehlers and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 459 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present volume offers a state-of-the-art report on the various recent sci entific developments in the Theory of Porous Media (TPM) comprehending the basic theoretical concepts in continuum mechanics on porous and mul tiphasic materials as well as the wide range of experimental and numerical applications. Following this, the volume does not only address the sophisti cated reader but also the interested beginner in the area of Porous Media by presenting a collection of articles. These articles written by experts in the field concern the fundamental approaches to multiphasic and porous materials as well as various applications to engineering problems. In many branches of engineering just as in applied natural sciences like bio- and chemomechanics, one often has to deal with continuum mechanical problems which cannot be uniquely classified within the well-known disci plines of either "solid mechanics" or "fluid mechanics". These problems, characterized by the fact that they require a unified treatment of volumetri cally coupled solid-fluid aggregates; basically fall into the categories of either mixtures or porous media. Following this, there is a broad variety of problems ranging in this category as for example the investigation of reacting fluid mix tures or solid-fluid suspensions as well as the investigation of the coupled solid deformation and pore-fluid flow behaviour of liquid- and gas-saturated porous solid skeleton materials like geomaterials (soil, rock, concrete, etc. ), polymeric and metallic foams or biomaterials (hard and soft tissues, etc).

Handbook of Micromechanics and Nanomechanics

Author : Shaofan Li
Publisher : CRC Press
ISBN 13 : 9814411248
Total Pages : 1256 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Handbook of Micromechanics and Nanomechanics by : Shaofan Li

Download or read book Handbook of Micromechanics and Nanomechanics written by Shaofan Li and published by CRC Press. This book was released on 2016-04-19 with total page 1256 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the latest developments and applications of micromechanics and nanomechanics. It particularly focuses on some recent applications and impact areas of micromechanics and nanomechanics that have not been discussed in traditional micromechanics and nanomechanics books on metamaterials, micromechanics of ferroelectric/piezoelectric,

Continuum Thermomechanics

Author : Gérard A. Maugin
Publisher : Springer Science & Business Media
ISBN 13 : 0306469464
Total Pages : 428 pages
Book Rating : 4.3/5 (64 download)

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Book Synopsis Continuum Thermomechanics by : Gérard A. Maugin

Download or read book Continuum Thermomechanics written by Gérard A. Maugin and published by Springer Science & Business Media. This book was released on 2006-04-11 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contributed by world-renowned specialists on the occasion of Paul Germain's 80th birthday, this unique book reflects the foundational works and the intellectual influence of this author. It presents the realm of modern thermomechanics with its extraordinary wealth of applications to the behaviour of materials, whether solid or fluid. The thirty-one contributions follow an easygoing autobiographical sketch by Paul Germain, and highlight the power and richness of a methodological approach to the phenomenology of many materials. This approach combines harmoniously thermodynamics and continuum theory in order to provide exploitable, thermodynamically admissible models of a large variety of behaviours and phenomena, including those of diffusion, thermoelasticity, viscoplasticity, relaxation, hysteresis, wetting, shape-memory effects, growth, phase transitions, stability, fracture, shocks, machining of materials, microstructured solids, complex fluids, etc. Especially aimed at graduate students, researchers, and engineers in mechanical engineering and materials science, this book also presents the state of the art in an active field of research and opens new horizons in other scientific fields, such as applied mathematics and applied physics, because of the intellectual satisfaction and remarkable efficiency provided by the advocated approach.

Theory of Linear Poroelasticity with Applications to Geomechanics and Hydrogeology

Author : Herbert F. Wang
Publisher : Princeton University Press
ISBN 13 : 140088568X
Total Pages : 301 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Theory of Linear Poroelasticity with Applications to Geomechanics and Hydrogeology by : Herbert F. Wang

Download or read book Theory of Linear Poroelasticity with Applications to Geomechanics and Hydrogeology written by Herbert F. Wang and published by Princeton University Press. This book was released on 2017-02-15 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of linear poroelasticity describes the interaction between mechanical effects and adding or removing fluid from rock. It is critical to the study of such geological phenomena as earthquakes and landslides and is important for numerous engineering projects, including dams, groundwater withdrawal, and petroleum extraction. Now an advanced text synthesizes in one place, with one notation, numerous classical solutions and applications of this highly useful theory. The introductory chapter recounts parallel developments in geomechanics, hydrogeology, and reservoir engineering that are unified by the tenets of poroelasticity. Next, the theory's constitutive and governing equations and their associated material parameters are described. These equations are then specialized for different simplifying geometries: unbounded problem domains, uniaxial strain, plane strain, radial symmetry, and axisymmetry. Example problems from geomechanics, hydrogeology, and petroleum engineering are incorporated throughout to illustrate poroelastic behavior and solution methods for a wide variety of real-world scenarios. The final chapter provides outlines for finite-element and boundary-element formulations of the field's governing equations. Whether read as a course of study or consulted as a reference by researchers and professionals, this volume's user-friendly presentation makes accessible one of geophysics' most important subjects and will do much to reduce poroelasticity's reputation as difficult to master.

Continuum Theory

Author : Alejandro Illanes
Publisher : CRC Press
ISBN 13 : 9780203910245
Total Pages : 360 pages
Book Rating : 4.9/5 (12 download)

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Book Synopsis Continuum Theory by : Alejandro Illanes

Download or read book Continuum Theory written by Alejandro Illanes and published by CRC Press. This book was released on 2002-07-25 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: Celebrating the work of world-renowned mathematician Sam B. Nadler, Jr., this reference examines the most recent advances in the analysis of continua. The book offers articles on the contributions of Professor Nadler, theorems on the structure and uniqueness of hyperspaces, results on the dynamics of solenoids, examples involving inverse limits of

Hamilton’s Principle in Continuum Mechanics

Author : Anthony Bedford
Publisher : Springer Nature
ISBN 13 : 3030903060
Total Pages : 114 pages
Book Rating : 4.0/5 (39 download)

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Book Synopsis Hamilton’s Principle in Continuum Mechanics by : Anthony Bedford

Download or read book Hamilton’s Principle in Continuum Mechanics written by Anthony Bedford and published by Springer Nature. This book was released on 2021-12-14 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: This revised, updated edition provides a comprehensive and rigorous description of the application of Hamilton’s principle to continuous media. To introduce terminology and initial concepts, it begins with what is called the first problem of the calculus of variations. For both historical and pedagogical reasons, it first discusses the application of the principle to systems of particles, including conservative and non-conservative systems and systems with constraints. The foundations of mechanics of continua are introduced in the context of inner product spaces. With this basis, the application of Hamilton’s principle to the classical theories of fluid and solid mechanics are covered. Then recent developments are described, including materials with microstructure, mixtures, and continua with singular surfaces.

Geomechanics II

Author : P. Lade
Publisher :
ISBN 13 :
Total Pages : 624 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Geomechanics II by : P. Lade

Download or read book Geomechanics II written by P. Lade and published by . This book was released on 2006 with total page 624 pages. Available in PDF, EPUB and Kindle. Book excerpt: GSP 156 contains 37 paper presented at the Second Japan-U.S. Workshop on Testing, Modeling, and Simulation in Geomechanics, held in Kyoto, Japan, September 8-10, 2005.

Unsaturated Soils

Author : Gerald A. Miller
Publisher :
ISBN 13 :
Total Pages : 1328 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Unsaturated Soils by : Gerald A. Miller

Download or read book Unsaturated Soils written by Gerald A. Miller and published by . This book was released on 2006 with total page 1328 pages. Available in PDF, EPUB and Kindle. Book excerpt: GSP 147 contains 219 papers on unsaturated soil problems presented at the Fourth International Conference on Unsaturated Soils, held in Carefree, Arizona, April 2-6, 2006.