Nonlinear Continuum Mechanics for Finite Elasticity-Plasticity

Nonlinear Continuum Mechanics for Finite Elasticity-Plasticity
Author: Koichi Hashiguchi
Publsiher: Elsevier
Total Pages: 420
Release: 2020-06-19
ISBN 10: 0128194294
ISBN 13: 9780128194294
Language: EN, FR, DE, ES & NL

Nonlinear Continuum Mechanics for Finite Elasticity-Plasticity Book Review:

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

Continuum Mechanics

Continuum Mechanics
Author: Ellis H. Dill
Publsiher: CRC Press
Total Pages: 368
Release: 2006-11-10
ISBN 10: 9780849397790
ISBN 13: 0849397790
Language: EN, FR, DE, ES & NL

Continuum Mechanics Book Review:

Most books on continuum mechanics focus on elasticity and fluid mechanics. But whether student or practicing professional, modern engineers need a more thorough treatment to understand the behavior of the complex materials and systems in use today. Continuum Mechanics: Elasticity, Plasticity, Viscoelasticity offers a complete tour of the subject that includes not only elasticity and fluid mechanics but also covers plasticity, viscoelasticity, and the continuum model for fatigue and fracture mechanics. In addition to a broader scope, this book also supplies a review of the necessary mathematical tools and results for a self-contained treatment. The author provides finite element formulations of the equations encountered throughout the chapters and uses an approach with just the right amount of mathematical rigor without being too theoretical for practical use. Working systematically from the continuum model for the thermomechanics of materials, coverage moves through linear and nonlinear elasticity using both tensor and matrix notation, plasticity, viscoelasticity, and concludes by introducing the fundamentals of fracture mechanics and fatigue of metals. Requisite mathematical tools appear in the final chapter for easy reference. Continuum Mechanics: Elasticity, Plasticity, Viscoelasticity builds a strong understanding of the principles, equations, and finite element formulations needed to solve real engineering problems.

Nonlinear Continuum Mechanics for Finite Element Analysis

Nonlinear Continuum Mechanics for Finite Element Analysis
Author: Javier Bonet,Richard D. Wood
Publsiher: Cambridge University Press
Total Pages: 329
Release: 2008-03-13
ISBN 10: 9781139467544
ISBN 13: 1139467549
Language: EN, FR, DE, ES & NL

Nonlinear Continuum Mechanics for Finite Element Analysis Book Review:

Designing engineering components that make optimal use of materials requires consideration of the nonlinear characteristics associated with both manufacturing and working environments. The modeling of these characteristics can only be done through numerical formulation and simulation, and this requires an understanding of both the theoretical background and associated computer solution techniques. By presenting both nonlinear continuum analysis and associated finite element techniques under one roof, Bonet and Wood provide, in this edition of this successful text, a complete, clear, and unified treatment of these important subjects. New chapters dealing with hyperelastic plastic behavior are included, and the authors have thoroughly updated the FLagSHyP program, freely accessible at www.flagshyp.com. Worked examples and exercises complete each chapter, making the text an essential resource for postgraduates studying nonlinear continuum mechanics. It is also ideal for those in industry requiring an appreciation of the way in which their computer simulation programs work.

Nonlinear Solid Mechanics

Nonlinear Solid Mechanics
Author: Adnan Ibrahimbegovic
Publsiher: Springer Science & Business Media
Total Pages: 574
Release: 2009-06-02
ISBN 10: 9048123305
ISBN 13: 9789048123308
Language: EN, FR, DE, ES & NL

Nonlinear Solid Mechanics Book Review:

This book offers a recipe for constructing the numerical models for representing the complex nonlinear behavior of structures and their components, represented as deformable solid bodies. Its appeal extends to those interested in linear problems of mechanics.

The Mechanics of Constitutive Modeling

The Mechanics of Constitutive Modeling
Author: Niels Saabye Ottosen,Matti Ristinmaa
Publsiher: Elsevier
Total Pages: 700
Release: 2005-09-28
ISBN 10: 9780080525693
ISBN 13: 0080525695
Language: EN, FR, DE, ES & NL

The Mechanics of Constitutive Modeling Book Review:

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 Modeling of Material Behavior

Continuum Mechanics Modeling of Material Behavior
Author: Martin H. Sadd
Publsiher: Academic Press
Total Pages: 432
Release: 2018-03-31
ISBN 10: 0128116498
ISBN 13: 9780128116494
Language: EN, FR, DE, ES & NL

Continuum Mechanics Modeling of Material Behavior Book Review:

Continuum Mechanics Modeling of Material Behavior offers a uniquely comprehensive introduction to topics like RVE theory, fabric tensor models, micropolar elasticity, elasticity with voids, nonlocal higher gradient elasticity and damage mechanics. Contemporary continuum mechanics research has been moving into areas of complex material microstructural behavior. Graduate students who are expected to do this type of research need a fundamental background beyond classical continuum theories. The book begins with several chapters that carefully and rigorously present mathematical preliminaries; kinematics of motion and deformation; force and stress measures; and mass, momentum and energy balance principles. The book then moves beyond other books by dedicating the last chapter to constitutive equation development, exploring a wide collection of constitutive relations and developing the corresponding material model formulations. Such material behavior models include classical linear theories of elasticity, fluid mechanics, viscoelasticity and plasticity, as well as linear and nonlinear theories of solids and fluids, including finite elasticity, nonlinear/non-Newtonian viscous fluids, and nonlinear viscoelastic materials. Finally, several relatively new continuum theories based on incorporation of material microstructure are presented including: fabric tensor theories, micropolar elasticity, elasticity with voids, nonlocal higher gradient elasticity and damage mechanics. Offers a thorough, concise and organized presentation of continuum mechanics formulation Covers numerous applications in areas of contemporary continuum mechanics modeling, including micromechanical and multi-scale problems Integration and use of MATLAB software gives students more tools to solve, evaluate and plot problems under study Features extensive use of exercises, providing more material for student engagement and instructor presentation

Nonlinear Mechanics of Crystals

Nonlinear Mechanics of Crystals
Author: John D. Clayton
Publsiher: Springer Science & Business Media
Total Pages: 700
Release: 2010-11-01
ISBN 10: 9400703503
ISBN 13: 9789400703506
Language: EN, FR, DE, ES & NL

Nonlinear Mechanics of Crystals Book Review:

This book describes behavior of crystalline solids primarily via methods of modern continuum mechanics. Emphasis is given to geometrically nonlinear descriptions, i.e., finite deformations. Primary topics include anisotropic crystal elasticity, plasticity, and methods for representing effects of defects in the solid on the material's mechanical response. Defects include crystal dislocations, point defects, twins, voids or pores, and micro-cracks. Thermoelastic, dielectric, and piezoelectric behaviors are addressed. Traditional and higher-order gradient theories of mechanical behavior of crystalline solids are discussed. Differential-geometric representations of kinematics of finite deformations and lattice defect distributions are presented. Multi-scale modeling concepts are described in the context of elastic and plastic material behavior. Representative substances towards which modeling techniques may be applied are single- and poly- crystalline metals and alloys, ceramics, and minerals. This book is intended for use by scientists and engineers involved in advanced constitutive modeling of nonlinear mechanical behavior of solid crystalline materials. Knowledge of fundamentals of continuum mechanics and tensor calculus is a prerequisite for accessing much of the text. This book could be used as supplemental material for graduate courses on continuum mechanics, elasticity, plasticity, micromechanics, or dislocation mechanics, for students in various disciplines of engineering, materials science, applied mathematics, and condensed matter physics.

Applied Mechanics Reviews

Applied Mechanics Reviews
Author: Anonim
Publsiher: Anonim
Total Pages: 329
Release: 1978
ISBN 10:
ISBN 13: OSU:32435026161083
Language: EN, FR, DE, ES & NL

Applied Mechanics Reviews Book Review:

Continuum Mechanics and Plasticity

Continuum Mechanics and Plasticity
Author: Han-Chin Wu
Publsiher: CRC Press
Total Pages: 704
Release: 2004-12-20
ISBN 10: 1135440395
ISBN 13: 9781135440398
Language: EN, FR, DE, ES & NL

Continuum Mechanics and Plasticity Book Review:

Tremendous advances in computer technologies and methods have precipitated a great demand for refinements in the constitutive models of plasticity. Such refinements include the development of a model that would account for material anisotropy and produces results that compare well with experimental data. Key to developing such models-and to meeting many other challenges in the field- is a firm grasp of the principles of continuum mechanics and how they apply to the formulation of plasticity theory. Also critical is understanding the experimental aspects of plasticity and material anisotropy. Integrating the traditionally separate subjects of continuum mechanics and plasticity, this book builds understanding in all of those areas. Part I provides systematic, comprehensive coverage of continuum mechanics, from a review of Carteisian tensors to the relevant conservation laws and constitutive equation. Part II offers an exhaustive presentation of the continuum theory of plasticity. This includes a unique treatment of the experimental aspects of plasticity, covers anisotropic plasticity, and incorporates recent research results related to the endochronic theory of plasticity obtained by the author and his colleagues. By bringing all of these together in one book, Continuum Mechanics and Plasticity facilitates the learning of solid mechanics. Its readers will be well prepared for pursuing either research related to the mechanical behavior of engineering materials or developmental work in engineering analysis and design.

Continuum Theory of Plasticity

Continuum Theory of Plasticity
Author: Akhtar S. Khan,Sujian Huang
Publsiher: John Wiley & Sons
Total Pages: 440
Release: 1995-02-06
ISBN 10: 9780471310433
ISBN 13: 0471310433
Language: EN, FR, DE, ES & NL

Continuum Theory of Plasticity Book Review:

The only modern, up-to-date introduction to plasticity Despite phenomenal progress in plasticity research over the past fifty years, introductory books on plasticity have changed very little. To meet the need for an up-to-date introduction to the field, Akhtar S. Khan and Sujian Huang have written Continuum Theory of Plasticity--a truly modern text which offers a continuum mechanics approach as well as a lucid presentation of the essential classical contributions. The early chapters give the reader a review of elementary concepts of plasticity, the necessary background material on continuum mechanics, and a discussion of the classical theory of plasticity. Recent developments in the field are then explored in sections on the Mroz Multisurface model, the Dafalias and Popov Two Surface model, the non-linear kinematic hardening model, the endochronic theory of plasticity, and numerous topics in finite deformation plasticity theory and strain space formulation for plastic deformation. Final chapters introduce the fundamentals of the micromechanics of plastic deformation and the analytical coupling between deformation of individual crystals and macroscopic material response of the polycrystal aggregate. For graduate students and researchers in engineering mechanics, mechanical, civil, and aerospace engineering, Continuum Theory of Plasticity offers a modern, comprehensive introduction to the entire subject of plasticity.

Hyperelasticity Primer

Hyperelasticity Primer
Author: Robert M. Hackett
Publsiher: Springer
Total Pages: 170
Release: 2015-09-30
ISBN 10: 3319232738
ISBN 13: 9783319232737
Language: EN, FR, DE, ES & NL

Hyperelasticity Primer Book Review:

This book introduces the subject of hyperelasticity in a concise manner mainly directed to students of solid mechanics who have a familiarity with continuum mechanics. It focuses on important introductory topics in the field of nonlinear material behavior and presents a number of example problems and solutions to greatly aid the student in mastering the difficulty of the subject and gaining necessary insight. Professor Hackett delineates the concepts and applications of hyperelasticity in such a way that a new student of the subject can absorb the intricate details without having to wade through excessively complicated formulations. The book further presents significant review material on intricately related subjects such as tensor calculus and introduces some new formulations.

Computational Methods in Elasticity and Plasticity

Computational Methods in Elasticity and Plasticity
Author: A. Anandarajah
Publsiher: Springer Science & Business Media
Total Pages: 653
Release: 2011-01-04
ISBN 10: 9781441963796
ISBN 13: 1441963790
Language: EN, FR, DE, ES & NL

Computational Methods in Elasticity and Plasticity Book Review:

Computational Methods in Elasticity and Plasticity: Solids and Porous Media presents the latest developments in the area of elastic and elasto-plastic finite element modeling of solids, porous media and pressure-dependent materials and structures. The book covers the following topics in depth: the mathematical foundations of solid mechanics, the finite element method for solids and porous media, the theory of plasticity and the finite element implementation of elasto-plastic constitutive models. The book also includes: -A detailed coverage of elasticity for isotropic and anisotropic solids. -A detailed treatment of nonlinear iterative methods that could be used for nonlinear elastic and elasto-plastic analyses. -A detailed treatment of a kinematic hardening von Mises model that could be used to simulate cyclic behavior of solids. -Discussion of recent advances in the analysis of porous media and pressure-dependent materials in more detail than other books currently available. Computational Methods in Elasticity and Plasticity: Solids and Porous Media also contains problem sets, worked examples and a solutions manual for instructors.

Nonlinear Continuum Mechanics of Solids

Nonlinear Continuum Mechanics of Solids
Author: Yavuz Basar,Dieter Weichert
Publsiher: Springer Science & Business Media
Total Pages: 193
Release: 2013-11-11
ISBN 10: 3662042991
ISBN 13: 9783662042991
Language: EN, FR, DE, ES & NL

Nonlinear Continuum Mechanics of Solids Book Review:

The aim of the book is the presentation of the fundamental mathematical and physical concepts of continuum mechanics of solids in a unified description so as to bring young researchers rapidly close to their research area. Accordingly, emphasis is given to concepts of permanent interest, and details of minor importance are omitted. The formulation is achieved systematically in absolute tensor notation, which is almost exclusively used in modern literature. This mathematical tool is presented such that study of the book is possible without permanent reference to other works.

Classical and Computational Solid Mechanics

Classical and Computational Solid Mechanics
Author: Yuan-cheng Fung,Pin Tong
Publsiher: World Scientific
Total Pages: 930
Release: 2001
ISBN 10: 9789810241247
ISBN 13: 9810241240
Language: EN, FR, DE, ES & NL

Classical and Computational Solid Mechanics Book Review:

This invaluable book has been written for engineers and engineering scientists in a style that is readable, precise, concise, and practical. It gives first priority to the formulation of problems, presenting the classical results as the gold standard, and the numerical approach as a tool for obtaining solutions. The classical part is a revision of the well-known text Foundations of Solid Mechanics, with a much-expanded discussion on the theories of plasticity and large elastic deformation with finite strains. The computational part is all new and is aimed at solving many major linear and nonlinear boundary-value problems.

Basics of Continuum Plasticity

Basics of Continuum Plasticity
Author: Kwansoo Chung,Myoung-Gyu Lee
Publsiher: Springer
Total Pages: 360
Release: 2018-05-02
ISBN 10: 9811083061
ISBN 13: 9789811083068
Language: EN, FR, DE, ES & NL

Basics of Continuum Plasticity Book Review:

This book describes the basic principles of plasticity for students and engineers who wish to perform plasticity analyses in their professional lives, and provides an introduction to the application of plasticity theories and basic continuum mechanics in metal forming processes. This book consists of three parts. The first part deals with the characteristics of plasticity and instability under simple tension or compression and plasticity in beam bending and torsion. The second part is designed to provide the basic principles of continuum mechanics, and the last part presents an extension of one-dimensional plasticity to general three-dimensional laws based on the fundamentals of continuum mechanics. Though most parts of the book are written in the context of general plasticity, the last two chapters are specifically devoted to sheet metal forming applications. The homework problems included are designed to reinforce understanding of the concepts involved. This book may be used as a textbook for a one semester course lasting fourteen weeks or longer. This book is intended to be self-sufficient such that readers can study it independently without taking another formal course. However, there are some prerequisites before starting this book, which include a course on engineering mathematics and an introductory course on solid mechanics.

Notes on Continuum Mechanics

Notes on Continuum Mechanics
Author: Eduardo WV Chaves
Publsiher: Springer Science & Business Media
Total Pages: 700
Release: 2013-06-13
ISBN 10: 940075986X
ISBN 13: 9789400759862
Language: EN, FR, DE, ES & NL

Notes on Continuum Mechanics Book Review:

This publication is aimed at students, teachers, and researchers of Continuum Mechanics and focused extensively on stating and developing Initial Boundary Value equations used to solve physical problems. With respect to notation, the tensorial, indicial and Voigt notations have been used indiscriminately. The book is divided into twelve chapters with the following topics: Tensors, Continuum Kinematics, Stress, The Objectivity of Tensors, The Fundamental Equations of Continuum Mechanics, An Introduction to Constitutive Equations, Linear Elasticity, Hyperelasticity, Plasticity (small and large deformations), Thermoelasticity (small and large deformations), Damage Mechanics (small and large deformations), and An Introduction to Fluids. Moreover, the text is supplemented with over 280 figures, over 100 solved problems, and 130 references.

Continuum Mechanics Through the Twentieth Century

Continuum Mechanics Through the Twentieth Century
Author: Gerard A Maugin
Publsiher: Springer Science & Business Media
Total Pages: 314
Release: 2013-04-08
ISBN 10: 9400763530
ISBN 13: 9789400763531
Language: EN, FR, DE, ES & NL

Continuum Mechanics Through the Twentieth Century Book Review:

This overview of the development of continuum mechanics throughout the twentieth century is unique and ambitious. Utilizing a historical perspective, it combines an exposition on the technical progress made in the field and a marked interest in the role played by remarkable individuals and scientific schools and institutions on a rapidly evolving social background. It underlines the newly raised technical questions and their answers, and the ongoing reflections on the bases of continuum mechanics associated, or in competition, with other branches of the physical sciences, including thermodynamics. The emphasis is placed on the development of a more realistic modeling of deformable solids and the exploitation of new mathematical tools. The book presents a balanced appraisal of advances made in various parts of the world. The author contributes his technical expertise, personal recollections, and international experience to this general overview, which is very informative albeit concise.

Elasticity and Plasticity of Large Deformations

Elasticity and Plasticity of Large Deformations
Author: Albrecht Bertram
Publsiher: Springer Science & Business Media
Total Pages: 343
Release: 2011-10-07
ISBN 10: 364224615X
ISBN 13: 9783642246159
Language: EN, FR, DE, ES & NL

Elasticity and Plasticity of Large Deformations Book Review:

Nonlinear Continuum Mechanics is a rapidly growing field of research. Since the last edition of this book, many important results in this field have been published. This new edition refers to the most important results. The part on hyperelastic models and anisotropic yield criteria has been enlarged and an outlook on Material Plasticity has been added.

Applied Mechanics of Solids

Applied Mechanics of Solids
Author: Allan F. Bower
Publsiher: CRC Press
Total Pages: 820
Release: 2009-10-05
ISBN 10: 1439802483
ISBN 13: 9781439802489
Language: EN, FR, DE, ES & NL

Applied Mechanics of Solids Book Review:

Modern computer simulations make stress analysis easy. As they continue to replace classical mathematical methods of analysis, these software programs require users to have a solid understanding of the fundamental principles on which they are based.Develop Intuitive Ability to Identify and Avoid Physically Meaningless PredictionsApplied Mechanics o

Nonlinear Solid Mechanics for Finite Element Analysis: Statics

Nonlinear Solid Mechanics for Finite Element Analysis: Statics
Author: Javier Bonet,Antonio J. Gil,Richard D. Wood
Publsiher: Cambridge University Press
Total Pages: 350
Release: 2016-06-23
ISBN 10: 1107115795
ISBN 13: 9781107115798
Language: EN, FR, DE, ES & NL

Nonlinear Solid Mechanics for Finite Element Analysis: Statics Book Review:

A clear and complete postgraduate introduction to the theory and computer programming for the complex simulation of material behavior.