The Mechanics Of Constitutive Modeling
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The Mechanics Of Constitutive Modeling
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Author : Niels Saabye Ottosen
language : en
Publisher: Elsevier
Release Date : 2005-09-28
The Mechanics Of Constitutive Modeling written by Niels Saabye Ottosen and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-09-28 with Science categories.
Constitutive modelling is the mathematical description of how materials respond to various loadings. This is the most intensely researched field within solid mechanics because of its complexity and the importance of accurate constitutive models for practical engineering problems. Topics covered include: Elasticity - Plasticity theory - Creep theory - The nonlinear finite element method - Solution of nonlinear equilibrium equations - Integration of elastoplastic constitutive equations - The thermodynamic framework for constitutive modelling – Thermoplasticity - Uniqueness and discontinuous bifurcations • More comprehensive in scope than competitive titles, with detailed discussion of thermodynamics and numerical methods. • Offers appropriate strategies for numerical solution, illustrated by discussion of specific models. • Demonstrates each topic in a complete and self-contained framework, with extensive referencing.
Continuum Mechanics
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Author : Franco M. Capaldi
language : en
Publisher: Cambridge University Press
Release Date : 2012-06-18
Continuum Mechanics written by Franco M. Capaldi and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-06-18 with Science categories.
Designed for continuum mechanics courses and features both the theoretical framework and numerical methods required to model continuous material behaviour.
Constitutive Modelling Of Solid Continua
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Author : José Merodio
language : en
Publisher: Springer Nature
Release Date : 2019-11-14
Constitutive Modelling Of Solid Continua written by José Merodio and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-14 with Science categories.
This volume consists of a collection of chapters by recognized experts to provide a comprehensive fundamental theoretical continuum treatment of constitutive laws used for modelling the mechanical and coupled-field properties of various types of solid materials. It covers the main types of solid material behaviour, including isotropic and anisotropic nonlinear elasticity, implicit theories, viscoelasticity, plasticity, electro- and magneto-mechanical interactions, growth, damage, thermomechanics, poroelasticity, composites and homogenization. The volume provides a general framework for research in a wide range of applications involving the deformation of solid materials. It will be of considerable benefit to both established and early career researchers concerned with fundamental theory in solid mechanics and its applications by collecting diverse material in a single volume. The readership ranges from beginning graduate students to senior researchers in academia and industry.
Constitutive Modelling In Geomechanics
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Author : Alexander Puzrin
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-01-21
Constitutive Modelling In Geomechanics written by Alexander Puzrin 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 2012-01-21 with Science categories.
The purpose of this book is to bridge the gap between the traditional Geomechanics and Numerical Geotechnical Modelling with applications in science and practice. Geomechanics is rarely taught within the rigorous context of Continuum Mechanics and Thermodynamics, while when it comes to Numerical Modelling, commercially available finite elements or finite differences software utilize constitutive relationships within the rigorous framework. As a result, young scientists and engineers have to learn the challenging subject of constitutive modelling from a program manual and often end up with using unrealistic models which violate the Laws of Thermodynamics. The book is introductory, by no means does it claim any completeness and state of the art in such a dynamically developing field as numerical and constitutive modelling of soils. The author gives basic understanding of conventional continuum mechanics approaches to constitutive modelling, which can serve as a foundation for exploring more advanced theories. A considerable effort has been invested here into the clarity and brevity of the presentation. A special feature of this book is in exploring thermomechanical consistency of all presented constitutive models in a simple and systematic manner.
Constitutive Modeling Of Engineering Materials
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Author : Vladimir Buljak
language : en
Publisher: Academic Press
Release Date : 2021-02-18
Constitutive Modeling Of Engineering Materials written by Vladimir Buljak and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-02-18 with Technology & Engineering categories.
Constitutive Modeling of Engineering Materials provides an extensive theoretical overview of elastic, plastic, damage, and fracture models, giving readers the foundational knowledge needed to successfully apply them to and solve common engineering material problems. Particular attention is given to inverse analysis, parameter identification, and the numerical implementation of models with the finite element method. Application in practice is discussed in detail, showing examples of working computer programs for simple constitutive behaviors. Examples explore the important components of material modeling which form the building blocks of any complex constitutive behavior. Addresses complex behaviors in a wide range of materials, from polymers, to metals and shape memory alloys Covers constitutive models with both small and large deformations Provides detailed examples of computer implementations for material models
General Continuum Mechanics And Constitutive Modeling
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Author : Niels Saabye Ottosen
language : en
Publisher: Elsevier
Release Date : 2025-01-01
General Continuum Mechanics And Constitutive Modeling written by Niels Saabye Ottosen and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-01-01 with Technology & Engineering categories.
General Continuum Mechanics and Constitutive Modeling starts with a comprehensive treatment of tensor algebra, followed by coverage of strains, stresses, and thermodynamics. General principles for constitutive modeling are presented, including objectivity, Lie-derivative, and covariance, as are issues central to configurational mechanics, such as polyconvexity and invariance principles used to establish balance equations. The book includes a chapter on hyperelasticity which analyzes isotropic and anisotropic materials and also discusses the distinction between energetic and entropic material response. The finite element method and classic plasticity based on hypoelasticity are each covered, and the book concludes with a chapter covering plasticity based on hyperplasticity, including isotropy, anisotropy, thermoplasticity, and crystal plasticity.
Constitutive Modelling Of Granular Materials
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Author : Dimitrios Kolymbas
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Constitutive Modelling Of Granular Materials written by Dimitrios Kolymbas 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 2012-12-06 with Science categories.
In view of its extreme complexity the mathematical description of the mechanical behaviour of granular materials is an extremely difficult task. Today many different models compete with each other. However, the complexity of the models hinders their comparison, and the potential users are confused and, often, disencouraged. This book is expected to serve as a milestone in the present situation, to evaluate the present methodes, to clear up the situation, to focus and encourage for further research activities.
Constitutive Models For Rubber Iv
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Author : Per-Erik Austrell
language : en
Publisher: Routledge
Release Date : 2017-12-04
Constitutive Models For Rubber Iv written by Per-Erik Austrell and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-04 with Technology & Engineering categories.
The unique properties of elastomeric materials offer numerous advantages in many engineering applications. Elastomeric units are used as couplings or mountings between rigid components, for example in shock absorbers, vibration insulators, flexible joints, seals and suspensions, etc. However, the complicated nature of the behaviour of such material makes it difficult to accurately predict the performance of these units using finite element modelling, for example. It is imperative that constitutive models accurately capture relevant aspects of mechanical behaviour. The latest developments concerning constitutive modelling of rubber is collected in these Proceedings. Topics included in this volume are, Hyperelastic models, Strength, fracture & fatigue, Dynamic properties & the Fletcher-Gent effect, Micro-mechanical & statistical approaches, Stress softening, iscoelasticity, Filler reinforcement, and Tyres, fibre & cord reinforced rubber.
Constitutive Modeling Of Soils And Rocks
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Author : Pierre-Yves Hicher
language : en
Publisher: John Wiley & Sons
Release Date : 2013-03-01
Constitutive Modeling Of Soils And Rocks written by Pierre-Yves Hicher and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-01 with Technology & Engineering categories.
This title provides a comprehensive overview of elastoplasticity relating to soil and rocks. Following a general outline of the models of behavior and their internal structure, each chapter develops a different area of this subject relating to the author's particular expertise. The first half of the book concentrates on the elastoplasticity of soft soils and rocks, while the second half examines that of hard soils and rocks.
Constitutive Modeling Of Geomaterials
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Author : Qiang Yang
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-08-22
Constitutive Modeling Of Geomaterials written by Qiang Yang 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 2012-08-22 with Science categories.
The Second International Symposium on Constitutive Modeling of Geomaterials: Advances and New Applications (IS-Model 2012), is to be held in Beijing, China, during October 15-16, 2012. The symposium is organized by Tsinghua University, the International Association for Computer Methods and Advances in Geomechanics (IACMAG), the Committee of Numerical and Physical Modeling of Rock Mass, Chinese Society for Rock Mechanics and Engineering, and the Committee of Constitutive Relations and Strength Theory, China Institution of Soil Mechanics and Geotechnical Engineering, China Civil Engineering Society. This Symposium follows the first successful International Workshop on Constitutive Modeling held in Hong Kong, which was organized by Prof. JH Yin in 2007. Constitutive modeling of geomaterials has been an active research area for a long period of time. Different approaches have been used in the development of various constitutive models. A number of models have been implemented in the numerical analyses of geotechnical structures. The objective of the symposium is to provide a forum for researchers and engineers working or interested in the area of constitutive modeling to meet together and share new ideas, achievements and experiences through presentations and discussions. Emphasis is placed on recent advances of constitutive modeling and its applications in both theoretic and experimental aspects. Six famous scholars have been invited for the plenary speeches of the symposiums. Some prominent scholars have been invited to organize four specialized workshops on hot topics, including “Time-dependent stress-strain behavior of geomaterials”, “Constitutive modeling within critical state soil mechanics”, “Multiscale and multiphysics in geomaterials”, and “Damage to failure in rock structures”. A total of 49 papers are included in the above topics. In addition, 51 papers are grouped under three topics covering “Behaviour of geomaterials”, “Constitutive model”, and “Applications”. The editors expect that the book can be helpful as a reference to all those in the field of constitutive modeling of geomaterials.