Foundations of Elastoplasticity: Subloading Surface Model

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Publisher : Springer Nature
ISBN 13 : 3030931382
Total Pages : 850 pages
Book Rating : 4.0/5 (39 download)

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Book Synopsis Foundations of Elastoplasticity: Subloading Surface Model by : Koichi Hashiguchi

Download or read book Foundations of Elastoplasticity: Subloading Surface Model written by Koichi Hashiguchi and published by Springer Nature. This book was released on 2023-06-12 with total page 850 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the standard text book for elastoplasticity/viscoplasticity which is explained comprehensively covering the rate-independent to -dependent finite deformations of metals, soils, polymers, crystal plasticity, etc. and the friction phenomenon. Concise explanations on vector-tensor analysis and continuum mechanics are provided first, covering the underlying physical concepts, e.g. various time-derivatives, pull-back and push-forward operations, work-conjugacy and multiplicative decomposition of deformation gradient tensor. Then, the rigorous elastoplastic/viscoplastic model, called the subloading surface model, is explained comprehensively, which is based on the subloading surface concept to describe the continuous development of the plastic/viscoplastic strain rate as the stress approaches to the yield surface, while it can never be described by the other plasticity models, e.g. the Chaboche-Ohno and the Dafalias-Yoshida models assuming the purely-elastic domain. The main features of the subloading surface model are as follows: 1) The subloading surface concept underling the cyclic plasticity is introduced, which insists that the plastic deformation develops as the stress approaches the yield surface. Thus, the smooth elastic-plastic transition leading to the continuous variation of the tangent stiffness modulus is described always. 2) The subloading-overstress model is formulated by which the elastoplastic deformation during the quasi-static loading and the viscoplastic deformation during the dynamic and impact loading can be described by the unified equation. Then, only this model can be used to describe the deformation in the general rate of deformation, disusing the elastoplastic constitutive equation. 3) The hyperelastic-based (visco)plasticity based on the multiplicative decomposition of deformation gradient tensor and the subloading surface model is formulated for the exact descriptions of the finite elastic and (visco)plastic deformations. 4) The subloading-friction model is formulated for the exact description of the dry and the fluid (lubricated) frictions at the general rate of sliding from the static to the impact sliding. Thus, all the elastic and inelastic deformation/sliding phenomena of solids can be described accurately in the unified equation by the subloading-overstress model. The subloading surface model will be engraved as the governing law of irreversible deformation of solids in the history of solid mechanics.

Elastoplasticity Theory

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 3642358497
Total Pages : 455 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Elastoplasticity Theory by : Koichi Hashiguchi

Download or read book Elastoplasticity Theory written by Koichi Hashiguchi and published by Springer Science & Business Media. This book was released on 2013-07-16 with total page 455 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book was written to serve as the standard textbook of elastoplasticity for students, engineers and researchers in the field of applied mechanics. The present second edition is improved thoroughly from the first edition by selecting the standard theories from various formulations and models, which are required to study the essentials of elastoplasticity steadily and effectively and will remain universally in the history of elastoplasticity. It opens with an explanation of vector-tensor analysis and continuum mechanics as a foundation to study elastoplasticity theory, extending over various strain and stress tensors and their rates. Subsequently, constitutive equations of elastoplastic and viscoplastic deformations for monotonic, cyclic and non-proportional loading behavior in a general rate and their applications to metals and soils are described in detail, and constitutive equations of friction behavior between solids and its application to the prediction of stick-slip phenomena are delineated. In addition, the return-mapping algorithm, the consistent tangent operators and the objective time-integration algorithm of rate tensor are explained in order to enforce the FEM analyses. All the derivation processes and formulations of equations are described in detail without an abbreviation throughout the book. The distinguishable features and importance of this book is the comprehensive description of fundamental concepts and formulations including the objectivity of tensor and constitutive equations, the objective time-derivative of tensor functions, the associated flow rule, the loading criterion, the continuity and smoothness conditions and their substantial physical interpretations in addition to the wide classes of reversible/irreversible constitutive equations of solids and friction behavior between solids.

Nonlinear Continuum Mechanics for Finite Elasticity-Plasticity

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Publisher : Elsevier
ISBN 13 : 0128194294
Total Pages : 420 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Nonlinear Continuum Mechanics for Finite Elasticity-Plasticity by : Koichi Hashiguchi

Download or read book Nonlinear Continuum Mechanics for Finite Elasticity-Plasticity written by Koichi Hashiguchi and published by Elsevier. This book was released on 2020-06-19 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear Continuum Mechanics for Finite Elasticity-Plasticity empowers readers to fully understand the constitutive equation of finite strain, an essential piece in assessing the deformation/strength of materials and safety of structures. The book starts by providing a foundational overview of continuum mechanics, elasticity and plasticity, then segues into more sophisticated topics such as multiplicative decomposition of deformation gradient tensor with the isoclinic concept and the underlying subloading surface concept. The subloading surface concept insists that the plastic strain rate is not induced suddenly at the moment when the stress reaches the yield surface but it develops continuously as the stress approaches the yield surface, which is crucially important for the precise description of cyclic loading behavior. Then, the exact formulations of the elastoplastic and viscoplastic constitutive equations based on the multiplicative decomposition are expounded in great detail. The book concludes with examples of these concepts and modeling techniques being deployed in real-world applications. Table of Contents: 1. Mathematical Basics 2. General (Curvilinear) Coordinate System 3. Description of Deformation/Rotation in Convected Coordinate System 4. Deformation/Rotation (Rate) Tensors 5. Conservation Laws and Stress Tensors 6. Hyperelastic Equations 7. Development of Elastoplastic Constitutive Equations 8. Multiplicative Decomposition of Deformation Gradient Tensor 9. Multiplicative Hyperelastic-based Plastic and Viscoplastic Constitutive Equations 10. Friction Model: Finite Sliding Theory Covers both the fundamentals of continuum mechanics and elastoplasticity while also introducing readers to more advanced topics such as the subloading surface model and the multiplicative decomposition among others Approaches finite elastoplasticity and viscoplasticty theory based on multiplicative decomposition and the subloading surface model Provides a thorough introduction to the general tensor formulation details for the embedded curvilinear coordinate system and the multiplicative decomposition of the deformation gradient

Introduction to Finite Strain Theory for Continuum Elasto-Plasticity

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Author :
Publisher : John Wiley & Sons
ISBN 13 : 1118437721
Total Pages : 371 pages
Book Rating : 4.1/5 (184 download)

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Book Synopsis Introduction to Finite Strain Theory for Continuum Elasto-Plasticity by : Koichi Hashiguchi

Download or read book Introduction to Finite Strain Theory for Continuum Elasto-Plasticity written by Koichi Hashiguchi and published by John Wiley & Sons. This book was released on 2012-10-09 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comprehensive introduction to finite elastoplasticity, addressing various analytical and numerical analyses & including state-of-the-art theories Introduction to Finite Elastoplasticity presents introductory explanations that can be readily understood by readers with only a basic knowledge of elastoplasticity, showing physical backgrounds of concepts in detail and derivation processes of almost all equations. The authors address various analytical and numerical finite strain analyses, including new theories developed in recent years, and explain fundamentals including the push-forward and pull-back operations and the Lie derivatives of tensors. As a foundation to finite strain theory, the authors begin by addressing the advanced mathematical and physical properties of continuum mechanics. They progress to explain a finite elastoplastic constitutive model, discuss numerical issues on stress computation, implement the numerical algorithms for stress computation into large-deformation finite element analysis and illustrate several numerical examples of boundary-value problems. Programs for the stress computation of finite elastoplastic models explained in this book are included in an appendix, and the code can be downloaded from an accompanying website.

Cyclic Plasticity of Metals

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Publisher : Elsevier
ISBN 13 : 0128192941
Total Pages : 470 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Cyclic Plasticity of Metals by : Hamid Jahed

Download or read book Cyclic Plasticity of Metals written by Hamid Jahed and published by Elsevier. This book was released on 2021-11-11 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cyclic Plasticity of Metals: Modeling Fundamentals and Applications provides an exhaustive overview of the fundamentals and applications of various cyclic plasticity models including forming and spring back, notch analysis, fatigue life prediction, and more. Covering metals with an array of different structures, such as hexagonal close packed (HCP), face centered cubic (FCC), and body centered cubic (BCC), the book starts with an introduction to experimental macroscopic and microscopic observations of cyclic plasticity and then segues into a discussion of the fundamentals of the different cyclic plasticity models, covering topics such as kinematics, stress and strain tensors, elasticity, plastic flow rule, and an array of other concepts. A review of the available models follows, and the book concludes with chapters covering finite element implementation and industrial applications of the various models. Reviews constitutive cyclic plasticity models for various metals and alloys with different cell structures (cubic, hexagonal, and more), allowing for more accurate evaluation of a component’s performance under loading Provides real-world industrial context by demonstrating applications of cyclic plasticity models in the analysis of engineering components Overview of latest models allows researchers to extend available models or develop new ones for analysis of an array of metals under more complex loading conditions

Constitutive Modeling of Geomaterials

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Publisher : CRC Press
ISBN 13 : 0203868846
Total Pages : 374 pages
Book Rating : 4.2/5 (38 download)

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Book Synopsis Constitutive Modeling of Geomaterials by : Teruo Nakai

Download or read book Constitutive Modeling of Geomaterials written by Teruo Nakai and published by CRC Press. This book was released on 2012-07-23 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: Winner of the Japanese Geotechnical Society 2016 publication awardWritten by a veteran geotechnical engineer with a long record of research discoveries, Constitutive Modeling of Geomaterials: Principles and Applications presents a simple and unified approach to modeling various features of geomaterials in general stress systems. The book

Analytical Methods in Petroleum Upstream Applications

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Publisher : CRC Press
ISBN 13 : 1138001481
Total Pages : 2054 pages
Book Rating : 4.1/5 (38 download)

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Book Synopsis Analytical Methods in Petroleum Upstream Applications by : Cesar Ovalles

Download or read book Analytical Methods in Petroleum Upstream Applications written by Cesar Ovalles and published by CRC Press. This book was released on 2015-04-02 with total page 2054 pages. Available in PDF, EPUB and Kindle. Book excerpt: Effective measurement of the composition and properties of petroleum is essential for its exploration, production, and refining; however, new technologies and methodologies are not adequately documented in much of the current literature. Analytical Methods in Petroleum Upstream Applications explores advances in the analytical methods and instrumentation that allow more accurate determination of the components, classes of compounds, properties, and features of petroleum and its fractions. Recognized experts explore a host of topics, including: A petroleum molecular composition continuity model as a context for other analytical measurements A modern modular sampling system for use in the lab or the process area to collect and control samples for subsequent analysis The importance of oil-in-water measurements and monitoring The chemical and physical properties of heavy oils, their fractions, and products from their upgrading Analytical measurements using gas chromatography and nuclear magnetic resonance (NMR) applications Asphaltene and heavy ends analysis Chemometrics and modeling approaches for understanding petroleum composition and properties to improve upstream, midstream, and downstream operations Due to the renaissance of gas and oil production in North America, interest has grown in analytical methods for a wide range of applications. The understanding provided in this text is designed to help chemists, geologists, and chemical and petroleum engineers make more accurate estimates of the crude value to specific refinery configurations, providing insight into optimum development and extraction schemes.

Soils and Foundations

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Publisher :
ISBN 13 :
Total Pages : 1088 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Soils and Foundations by :

Download or read book Soils and Foundations written by and published by . This book was released on 2003 with total page 1088 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Elastoplasticity Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 3642002730
Total Pages : 420 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Elastoplasticity Theory by : Koichi Hashiguchi

Download or read book Elastoplasticity Theory written by Koichi Hashiguchi and published by Springer Science & Business Media. This book was released on 2009-05-02 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contents Recent advancements in the performance of industrial products and structures are quite intense. Consequently, mechanical design of high accuracy is necessary to enhance their mechanical performance, strength and durability. The basis for their mechanical design can be provided through elastoplastic deformation analyses. For that reason, industrial engineers in the fields of mechanical, civil, architec- ral, aerospace engineering, etc. must learn pertinent knowledge relevant to elas- plasticity. Numerous books about elastoplasticity have been published since “Mathema- cal Theory of Plasticity”, the notable book of R. Hill (1950), was written in the middle of the last century. That and similar books mainly address conventional plasticity models on the premise that the interior of a yield surface is an elastic domain. However, conventional plasticity models are applicable to the prediction of monotonic loading behavior, but are inapplicable to prediction of deformation behavior of machinery subjected to cyclic loading and civil or architectural str- tures subjected to earthquakes. Elastoplasticity has developed to predict defor- tion behavior under cyclic loading and non-proportional loading and to describe nonlocal, finite and rate-dependent deformation behavior.

Transactions of JWRI.

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Publisher :
ISBN 13 :
Total Pages : 164 pages
Book Rating : 4.3/5 (243 download)

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Book Synopsis Transactions of JWRI. by : 大阪大学. 溶接工学研究所

Download or read book Transactions of JWRI. written by 大阪大学. 溶接工学研究所 and published by . This book was released on 2013 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Proceedings of the 16th International Conference on Soil Mechanics and Geotechnical Engineering

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Publisher : IOS Press
ISBN 13 : 1614996563
Total Pages : 3742 pages
Book Rating : 4.6/5 (149 download)

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Book Synopsis Proceedings of the 16th International Conference on Soil Mechanics and Geotechnical Engineering by : The Organizing Committee of the 16th ICSMGE

Download or read book Proceedings of the 16th International Conference on Soil Mechanics and Geotechnical Engineering written by The Organizing Committee of the 16th ICSMGE and published by IOS Press. This book was released on 2005-09-12 with total page 3742 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 16th ICSMGE responds to the needs of the engineering and construction community, promoting dialog and exchange between academia and practice in various aspects of soil mechanics and geotechnical engineering. This is reflected in the central theme of the conference 'Geotechnology in Harmony with the Global Environment'. The proceedings of the conference are of great interest for geo-engineers and researchers in soil mechanics and geotechnical engineering. Volume 1 contains 5 plenary session lectures, the Terzaghi Oration, Heritage Lecture, and 3 papers presented in the major project session. Volumes 2, 3, and 4 contain papers with the following topics: Soil mechanics in general; Infrastructure and mobility; Environmental issues of geotechnical engineering; Enhancing natural disaster reduction systems; Professional practice and education. Volume 5 contains the report of practitioner/academic forum, 20 general reports, a summary of the sessions and workshops held during the conference.

Program and Abstracts for the ... U.S. National Congress of Theoretical and Applied Mechanics

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Publisher :
ISBN 13 :
Total Pages : 658 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Program and Abstracts for the ... U.S. National Congress of Theoretical and Applied Mechanics by :

Download or read book Program and Abstracts for the ... U.S. National Congress of Theoretical and Applied Mechanics written by and published by . This book was released on 2002 with total page 658 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Practice of Constitutive Modelling for Saturated Soils

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Publisher : Springer Nature
ISBN 13 : 9811563071
Total Pages : 417 pages
Book Rating : 4.8/5 (115 download)

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Book Synopsis Practice of Constitutive Modelling for Saturated Soils by : Zhen-Yu Yin

Download or read book Practice of Constitutive Modelling for Saturated Soils written by Zhen-Yu Yin and published by Springer Nature. This book was released on 2020-09-11 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Multiscale Modelling in Sheet Metal Forming

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Publisher : Springer
ISBN 13 : 3319440705
Total Pages : 405 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Multiscale Modelling in Sheet Metal Forming by : Dorel Banabic

Download or read book Multiscale Modelling in Sheet Metal Forming written by Dorel Banabic and published by Springer. This book was released on 2016-10-20 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a unified presentation of the research performed in the field of multiscale modelling in sheet metal forming over the course of more than thirty years by the members of six teams from internationally acclaimed universities. The first chapter is devoted to the presentation of some recent phenomenological yield criteria (BBC 2005 and BBC 2008) developed at the CERTETA center from the Technical University of Cluj-Napoca. An overview on the crystallographic texture and plastic anisotropy is presented in Chapter 2. Chapter 3 is dedicated to multiscale modelling of plastic anisotropy. The authors describe a new hierarchical multi-scale framework that allows taking into account the evolution of plastic anisotropy during sheet forming processes. Chapter 4 is focused on modelling the evolution of voids in porous metals with applications to forming limit curves and ductile fracture. The chapter details the steps needed for the development of dissipation functions and Gurson-type models for non-quadratic anisotropic plasticity criteria like BBC 2005 and those based on linear transformations. Chapter 5 describes advanced models for the prediction of forming limit curves developed by the authors. Chapter 6 is devoted to anisotropic damage in elasto-plastic materials with structural defects. Finally, Chapter 7 deals with modelling of the Portevin-Le Chatelier (PLC) effect. This volume contains contributions from leading researchers from the Technical University of Cluj-Napoca, Romania, the Catholic University of Leuven, Belgium, Clausthal University of Technology, Germany, Amirkabir University of Technology, Iran, the University of Bucharest, Romania, and the Institute of Mathematics of the Romanian Academy, Romania. It will prove useful to postgraduate students, researchers and engineers who are interested in the mechanical modeling and numerical simulation of sheet metal forming processes.

Modelling of Soil Behaviour with Hypoplasticity

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Publisher : Springer
ISBN 13 : 3030039765
Total Pages : 192 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Modelling of Soil Behaviour with Hypoplasticity by : David Mašín

Download or read book Modelling of Soil Behaviour with Hypoplasticity written by David Mašín and published by Springer. This book was released on 2018-12-12 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explains the hypoplastic modelling framework. It is divided into two parts, the first of which is devoted to principles of hypoplasticity. First, the basic features of soil’s mechanical behaviour are introduced, namely non-linearity and asymptotic properties. These features are then incorporated into simple one-dimensional hypoplastic equations for compression and shear. Subsequently, a hypoplastic equivalent of the Modified Cam-Clay model is developed in 2D space using stress and strain invariants to demonstrate key similarities and differences between elasto-plastic and hypoplastic formulations. Lastly, the mathematical structure of hypoplastic models is explained by tracing their historical development, from the early trial-and-error models to more recent approaches. In turn, Part II introduces specific hypoplastic models for soils. First, two reference models for sand and clay are defined. After summarising their mathematical formulations, calibration procedures are described and discussed. Subsequently, more advanced modelling approaches are covered: the intergranular strain concept incorporating the effects of small strain stiffness and cyclic loading, viscohypoplasticity for predicting rate effects, soil structure to represent structured and bonded materials and soil anisotropy. The book concludes with a description of partial saturation and thermal effects: topics that are increasingly important to the disciplines of energy and environmental geotechnics. Selecting a constitutive model and its parameters is often the most important and yet challenging part of any numerical analysis in geotechnical engineering. Hypoplasticity involves a specific class of soil constitutive models, which are described in detail here. The book offers an essential resource, both for model users who need a more advanced model for their geotechnical calculations and are mainly interested in parameter calibration procedures, and for model developers who are seeking a comprehensive understanding of the mathematical structure of hypoplasticity.

Computational Multiphase Geomechanics

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Publisher : CRC Press
ISBN 13 : 1000474992
Total Pages : 354 pages
Book Rating : 4.0/5 (4 download)

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Book Synopsis Computational Multiphase Geomechanics by : Fusao Oka

Download or read book Computational Multiphase Geomechanics written by Fusao Oka and published by CRC Press. This book was released on 2021-11-21 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical methods are very powerful tools for use in geotechnical engineering, particularly in computational geotechnics. Interest is strong in the new field of multi-phase nature of geomaterials, and the area of computational geotechnics is expanding. Alongside their companion volume Computational Modeling of Multiphase Geomaterials (CRC Press, 2012), Fusao Oka and Sayuri Kimoto cover recent progress in several key areas, such as air-water-soil mixture, cyclic constitutive models, anisotropic models, noncoaxial models, gradient models, compaction bands (a form of volumetric strain localization and strain localization under dynamic conditions), and the instability of unsaturated soils. The text also includes applications of computational modeling to large-scale excavation of ground, liquefaction analysis of levees during earthquakes, methane hydrate development, and the characteristics of contamination using bentonite. The erosion of embankments due to seepage flow is also presented.

Creep and Damage in Materials and Structures

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Publisher : Springer
ISBN 13 : 3709125065
Total Pages : 354 pages
Book Rating : 4.7/5 (91 download)

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Book Synopsis Creep and Damage in Materials and Structures by : Holm Altenbach

Download or read book Creep and Damage in Materials and Structures written by Holm Altenbach and published by Springer. This book was released on 2014-05-04 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook gives a concise survey of constitutive and structural modeling for high temperature creep, damage, low – cycle fatigue and other inelastic conditions. The book shows the creep and continuum damage mechanics as rapidly developing discipline which interlinks the material science foundations, the constitutive modeling and computer simulation application to analysis and design of simple engineering components. It is addressed to young researchers and scientists working in the field of mechanics of inelastic, time-dependent materials and structures, as well as to PhD students in computational mechanics, material sciences, mechanical and civil engineering.