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Micro To Macro Mathematical Modelling In Soil Mechanics


Micro To Macro Mathematical Modelling In Soil Mechanics
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Micro To Macro Mathematical Modelling In Soil Mechanics


Micro To Macro Mathematical Modelling In Soil Mechanics
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Author : Pasquale Giovine
language : en
Publisher: Springer
Release Date : 2019-03-25

Micro To Macro Mathematical Modelling In Soil Mechanics written by Pasquale Giovine and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-25 with Science categories.


This special issue collects selected contributions (excluding general lectures) of a Symposium on "Micro to MACRO Mathematical Modelling in Soil Mechanics", which took place at the University of Reggio Calabria, Italy, from May 29th to June 1st, 2018. The Symposium provided an opportunity to enhance the scientific debate on the construction of mathematical models for the description of the physical behaviour of soils, as well as on the suggestions provided by the micro-mechanical observation of the matter. The focus was on the comparison between the appropriateness of models and the need of mathematics to obtain rigorous results, which involves know-how from applied mathematical physics, geotechnical engineering and mechanics of solids. The contributions were selected by the Editors and the other Members of the Scientific Committee of the Symposium: Gianfranco Capriz (Pisa, Roma), Claudio di Prisco (Milan), Wolfgang Ehlers (Stuttgart), James T. Jenkins (Cornell), Stefan Luding (Twente), David Muir Wood (Dundee), Kenichi Soga (Berkeley).



Effective Stress And Equilibrium Equation For Soil Mechanics


Effective Stress And Equilibrium Equation For Soil Mechanics
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Author : Longtan Shao
language : en
Publisher: CRC Press
Release Date : 2017-12-06

Effective Stress And Equilibrium Equation For Soil Mechanics written by Longtan Shao and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-06 with Technology & Engineering categories.


The concept of effective stress and the effective stress equation is fundamental for establishing the theory of strength and the relationship of stress and strain in soil mechanics and poromechanics. However, up till now, the physical meaning of effective stress has not been explained clearly, and the theoretical basis of the effective stress equation has not been proposed. Researchers have not yet reached a common understanding of the feasibility of the concept of effective stress and effective stress equation for unsaturated soils. Effective Stress and Equilibrium Equation for Soil Mechanics discusses the definition of the soil skeleton at first and clarifies that the soil skeleton should include a fraction of pore water. When a free body of soil skeleton is taken to conduct internal force analysis, the stress on the surface of the free body has two parts: one is induced by pore fluid pressure that only includes normal stress; the other is produced by all the other external forces excluding pore fluid pressure. If the effective stress is defined as the soil skeleton stress due to all the external forces excluding pore fluid pressure, the effective stress equation can be easily obtained by the internal force equilibrium analysis. This equation reflects the relationship between the effective stress, total stress and pore fluid pressure, which does not change with the soil property. The effective stress equation of saturated soils and unsaturated soils is unified, i.e., o ̃=o ̃t –Seuw–(1–Se)ua. For multiphase porous medium, o ̃=o ̃t –u*,u*=Seiui(i=1,2,...,M). In this book, a theoretical formula of the coefficient of permeability for unsaturated soils is derived. The formula of the seepage force is modified based on the equilibrium differential equation of the pore water. The relationship between the effective stress and the shear strength and deformation of unsaturated soils is preliminarily verified. Finally, some possibly controversial problems are discussed to provide a better understanding of the role of the equilibrium equation and the concept of effective stress.



Mathematics And Mechanics Of Granular Materials


Mathematics And Mechanics Of Granular Materials
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Author : James M. Hill
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-12-27

Mathematics And Mechanics Of Granular Materials written by James M. Hill and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-12-27 with Science categories.


Granular or particulate materials arise in almost every aspect of our lives, including many familiar materials such as tea, coffee, sugar, sand, cement and powders. At some stage almost every industrial process involves a particulate material, and it is usually the cause of the disruption to the smooth running of the process. In the natural environment, understanding the behaviour of particulate materials is vital in many geophysical processes such as earthquakes, landslides and avalanches. This book is a collection of current research from some of the major contributors in the topic of modelling the behaviour of granular materials. Papers from every area of current activity are included, such as theoretical, numerical, engineering and computational approaches. This book illustrates the numerous diverse approaches to one of the outstanding problems of modern continuum mechanics.



Practice Of Constitutive Modelling For Saturated Soils


Practice Of Constitutive Modelling For Saturated Soils
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Author : Zhen-Yu Yin
language : en
Publisher: Springer Nature
Release Date : 2020-09-11

Practice Of Constitutive Modelling For Saturated Soils written by Zhen-Yu Yin and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-11 with Science categories.


This book describes the development of a constitutive modeling platform for soil testing, which is one of the key components in geomechanics and geotechnics. It discusses the fundamentals of the constitutive modeling of soils and illustrates the use of these models to simulate various laboratory tests. To help readers understand the fundamentals and modeling of soil behaviors, it first introduces the general stress–strain relationship of soils and the principles and modeling approaches of various laboratory tests, before examining the ideas and formulations of constitutive models of soils. Moving on to the application of constitutive models, it presents a modeling platform with a practical, simple interface, which includes various kinds of tests and constitutive models ranging from clay to sand, that is used for simulating most kinds of laboratory tests. The book is intended for undergraduate and graduate-level teaching in soil mechanics and geotechnical engineering and other related engineering specialties. Thanks to the inclusion of real-world applications, it is also of use to industry practitioners, opening the door to advanced courses on modeling within the industrial engineering and operations research fields.



Environmental Geomechanics


Environmental Geomechanics
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Author : Laurent Vulliet
language : en
Publisher: EPFL Press
Release Date : 2002-01-01

Environmental Geomechanics written by Laurent Vulliet and has been published by EPFL Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-01-01 with Ingeniería ambiental categories.




Anisotropic Behaviour Of Damaged Materials


Anisotropic Behaviour Of Damaged Materials
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Author : Jacek J. Skrzypek
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-11-27

Anisotropic Behaviour Of Damaged Materials written by Jacek J. Skrzypek and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-11-27 with Technology & Engineering categories.


The scope of this book is based on the keynote lectures delivered during the Inter national Symposium on Anisotropic Behaviour of Damaged Materials ABDM, held in Krakow-Przegorzaiy, Poland, September 9-11, 2002. The Symposium was organized by the Solid Mechanics Division of the Institute of Mechanics and Machine Design - Cracow University of Technology, under aus pices of the Dean of the Faculty of Mechanical Engineering, Cracow University of Technology, Prof. S. Michalowski. The Co-organizers of the ABDM Symposium were: • Martin-Luther-Universitat Halle-Wittenberg, • Centre of Excellence for Advanced Materials and Structures AMAS at the In stitute of Fundamental Technological Research of the Polish Academy of Sci ences, Warsaw, • Committee of Mechanics of the Polish Academy of Sciences, Warsaw. Ten chapters of this book in their present form essentially exceed lectures de livered at the Symposium. They should rather be read as not only author's recent achievements in the field, but also the state of art and synthesis done by the lead ers in the mechanics community. The mixed formula of the Symposium, namely: the invited lectures and presentations of the original papers by the participants was used. 23 original papers, published in the Symposium Proceedings on CD, exhaust the full scope of the ABDM Symposium. The present book provides a survey of various damage models focusing on the damage response in anisotropic materials as well as damage-induced anisotropy.



Applied Mechanics Reviews


Applied Mechanics Reviews
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Author :
language : en
Publisher:
Release Date : 1981

Applied Mechanics Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with Mechanics, Applied categories.




State Of The Art And Future Trends In Material Modeling


State Of The Art And Future Trends In Material Modeling
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Author : Holm Altenbach
language : en
Publisher: Springer Nature
Release Date : 2019-10-23

State Of The Art And Future Trends In Material Modeling written by Holm Altenbach and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-23 with Technology & Engineering categories.


This special anniversary book celebrates the success of this Springer book series highlighting materials modeling as the key to developing new engineering products and applications. In this 100th volume of “Advanced Structured Materials”, international experts showcase the current state of the art and future trends in materials modeling, which is essential in order to fulfill the demanding requirements of next-generation engineering tasks.



Recent Advances In Computational Mechanics And Simulations


Recent Advances In Computational Mechanics And Simulations
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Author : Sandip Kumar Saha
language : en
Publisher: Springer Nature
Release Date : 2020-11-13

Recent Advances In Computational Mechanics And Simulations written by Sandip Kumar Saha and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-13 with Technology & Engineering categories.


This volume presents selected papers from the 7th International Congress on Computational Mechanics and Simulation held at IIT Mandi, India. The papers discuss the development of mathematical models representing physical phenomena and applying modern computing methods and simulations to analyse them. The studies cover recent advances in the fields of nano mechanics and biomechanics, simulations of multiscale and multiphysics problems, developments in solid mechanics and finite element method, advancements in computational fluid dynamics and transport phenomena, and applications of computational mechanics and techniques in emerging areas. The volume will be of interest to researchers and academics from civil engineering, mechanical engineering, aerospace engineering, materials engineering/science, physics, mathematics and other disciplines.



Multiscale Theory Of Composites And Random Media


Multiscale Theory Of Composites And Random Media
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Author : Xi Frank Xu
language : en
Publisher: CRC Press
Release Date : 2018-09-21

Multiscale Theory Of Composites And Random Media written by Xi Frank Xu and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-21 with Science categories.


This is the first book to introduce Green-function-based multiscale theory and the corresponding finite element method, which are readily applicable to composites and random media. The methodology is considered to be the one that most effectively tackles the uncertainty of stress propagation in complex heterogeneities of random media, and which presents multiscale theory from distinctive scale separation and scale-coupling viewpoints. Deliberately taking a multiscale perspective, it covers scale separation and then scale coupling. Both micromechanics and novel scale-coupling mechanics are described in relation to variational principles and bounds, as well as in the emerging topics on percolation and scale-coupling computation. It gives detail on the different bounds encountered, covering classical second and third order, new fourth order, and innovative ellipsoidal variations. Green-function-based multiscale theory is addressed to applications in solid mechanics and transport of complex media ranging from micro- and nano-composites, polycrystals, soils, rocks, cementitious materials, to biological materials. It is useful as a graduate textbook in civil and mechanical engineering and as a reference.