Nonlinear Continuum Mechanics for Finite Element Analysis


Author: Javier Bonet,Richard D. Wood
Publisher: Cambridge University Press
ISBN: 9781139467544
Category: Science
Page: N.A
View: 3745
DOWNLOAD NOW »
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.

Worked Examples in Nonlinear Continuum Mechanics for Finite Element Analysis


Author: Javier Bonet,Antonio J. Gil,Richard D. Wood
Publisher: Cambridge University Press
ISBN: 1139561308
Category: Science
Page: N.A
View: 7812
DOWNLOAD NOW »
Many processes in materials science and engineering, such as the load deformation behaviour of certain structures, exhibit nonlinear characteristics. The computer simulation of such processes therefore requires a deep understanding of both the theoretical aspects of nonlinearity and the associated computational techniques. This book provides a complete set of exercises and solutions in the field of theoretical and computational nonlinear continuum mechanics and is the perfect companion to Nonlinear Continuum Mechanics for Finite Element Analysis, where the authors set out the theoretical foundations of the subject. It employs notation consistent with the theory book and serves as a great resource to students, researchers and those in industry interested in gaining confidence by practising through examples. Instructors of the subject will also find the book indispensable in aiding student learning.

Nonlinear Solid Mechanics for Finite Element Analysis: Statics


Author: Javier Bonet,Antonio J. Gil,Richard D. Wood
Publisher: Cambridge University Press
ISBN: 1107115795
Category: Mathematics
Page: 350
View: 8690
DOWNLOAD NOW »
A clear and complete postgraduate introduction to the theory and computer programming for the complex simulation of material behavior.

Nonlinear Continuum Mechanics and Large Inelastic Deformations


Author: Yuriy I. Dimitrienko
Publisher: Springer Science & Business Media
ISBN: 9789400700345
Category: Technology & Engineering
Page: 721
View: 6725
DOWNLOAD NOW »
The book provides a rigorous axiomatic approach to continuum mechanics under large deformation. In addition to the classical nonlinear continuum mechanics – kinematics, fundamental laws, the theory of functions having jump discontinuities across singular surfaces, etc. - the book presents the theory of co-rotational derivatives, dynamic deformation compatibility equations, and the principles of material indifference and symmetry, all in systematized form. The focus of the book is a new approach to the formulation of the constitutive equations for elastic and inelastic continua under large deformation. This new approach is based on using energetic and quasi-energetic couples of stress and deformation tensors. This approach leads to a unified treatment of large, anisotropic elastic, viscoelastic, and plastic deformations. The author analyses classical problems, including some involving nonlinear wave propagation, using different models for continua under large deformation, and shows how different models lead to different results. The analysis is accompanied by experimental data and detailed numerical results for rubber, the ground, alloys, etc. The book will be an invaluable text for graduate students and researchers in solid mechanics, mechanical engineering, applied mathematics, physics and crystallography, as also for scientists developing advanced materials.

An Introduction to Nonlinear Finite Element Analysis

With Applications to Heat Transfer, Fluid Mechanics, and Solid Mechanics
Author: Junuthula Narasimha Reddy,J. N. Reddy
Publisher: Oxford University Press, USA
ISBN: 0199641757
Category: Science
Page: 687
View: 909
DOWNLOAD NOW »
The second edition of An Introduction to Nonlinear Finite Element Analysis offers an easy-to-understand treatment of nonlinear finite element analysis, which includes element development from mathematical models and numerical evaluation of the underlying physics. Additional explanations, examples, and problems have been added to all chapters. The book may be used as a textbook for an advanced course (after a first course) on the finite element method orthe first course on nonlinear finite element analysis. A solutions manual is available on request from the publisher to instructors who adopt the book as a textbook for a course.

Large Strain Finite Element Method

A Practical Course
Author: Antonio Munjiza,Earl E. Knight,Esteban Rougier
Publisher: John Wiley & Sons
ISBN: 1118535804
Category: Mathematics
Page: 488
View: 8662
DOWNLOAD NOW »
An introductory approach to the subject of large strains andlarge displacements in finite elements. Large Strain Finite Element Method: A Practical Course,takes an introductory approach to the subject of large strains andlarge displacements in finite elements and starts from the basicconcepts of finite strain deformability, including finite rotationsand finite displacements. The necessary elements of vector analysisand tensorial calculus on the lines of modern understanding of theconcept of tensor will also be introduced. This book explains how tensors and vectors can be describedusing matrices and also introduces different stress and straintensors. Building on these, step by step finite element techniquesfor both hyper and hypo-elastic approach will be considered. Material models including isotropic, unisotropic, plastic andviscoplastic materials will be independently discussed tofacilitate clarity and ease of learning. Elements of transientdynamics will also be covered and key explicit and iterativesolvers including the direct numerical integration, relaxationtechniques and conjugate gradient method will also be explored. This book contains a large number of easy to followillustrations, examples and source code details that facilitateboth reading and understanding. Takes an introductory approach to the subject of large strainsand large displacements in finite elements. No prior knowledge ofthe subject is required. Discusses computational methods and algorithms to tackle largestrains and teaches the basic knowledge required to be able tocritically gauge the results of computational models. Contains a large number of easy to follow illustrations,examples and source code details. Accompanied by a website hosting code examples.

Computational Continuum Mechanics


Author: Ahmed A. Shabana
Publisher: Cambridge University Press
ISBN: 1139505424
Category: Science
Page: N.A
View: 9468
DOWNLOAD NOW »
This second edition presents the theory of continuum mechanics using computational methods. The text covers a broad range of topics including general problems of large rotation and large deformations and the development and limitations of finite element formulations in solving such problems. Dr Shabana introduces theories on motion kinematics, strain, forces and stresses and goes on to discuss linear and nonlinear constitutive equations, including viscoelastic and plastic constitutive models. General nonlinear continuum mechanics theory is used to develop small and large finite element formulations which correctly describe rigid body motion for use in engineering applications. This second edition features a new chapter that focuses on computational geometry and finite element analysis. This book is ideal for graduate and undergraduate students, professionals and researchers who are interested in continuum mechanics.

Nonlinear Finite Element Methods


Author: Peter Wriggers
Publisher: Springer Science & Business Media
ISBN: 3540710000
Category: Mathematics
Page: 560
View: 5806
DOWNLOAD NOW »
Finite element methods have become ever more important to engineers as tools for design and optimization, now even for solving non-linear technological problems. However, several aspects must be considered for finite-element simulations which are specific for non-linear problems: These problems require the knowledge and the understanding of theoretical foundations and their finite-element discretization as well as algorithms for solving the non-linear equations. This book provides the reader with the required knowledge covering the complete field of finite element analyses in solid mechanics. It is written for advanced students in engineering fields but serves also as an introduction into non-linear simulation for the practising engineer.

Cardiovascular Solid Mechanics

Cells, Tissues, and Organs
Author: Jay D. Humphrey
Publisher: Springer Science & Business Media
ISBN: 9780387951683
Category: Medical
Page: 757
View: 7864
DOWNLOAD NOW »
Cardiovascular Solid Mechanics: Cells, Tissues, and Organs is a vital resource for courses on cardiovascular solid mechanics or soft tissue biomechanics. Focusing on the response of the heart and blood vessels to mechanical loads from the perspective of nonlinear solid mechanics, its primary goal is to integrate basic analytical, experimental, and computational methods to offer a more complete understanding of the underlying mechanobiology. While dealing primarily with cardiovascular mechanics, both the fundamental methods and many of the specific results are applicable to many different soft tissues, making this book an excellent general introduction to soft tissue biomechanics overall. Divided into three parts, Cardiovascular Solid Mechanics presents a practical and rational approach to biomechanics. Part I, Foundations, briefly reviews historical points of interest, basic molecular and cell biology, histology, and an overview of soft tissue mechanics. In order to provide not only a working framework, but also to give key references for those who wish to develop and extend biomechanics, included are mathematical preliminaries and salient results from continuum mechanics, finite elasticity, experimental mechanics, and finite elements. Part II, Vascular Mechanics, reviews the anatomy, histology, and physiology of arteries, illustrating and discussing constitutive formulations and stress analyses for healthy mature arteries. Considerable attention is given to the concept of residual stress and the mechanics of a number of vascular disorders, including atherosclerosis, aneurysms, and hypertension, as well as the mechanics of popular endovascular therapies such as balloon angioplasty. Part III, Cardiac Mechanics, reviews the requisite anatomy, histology, physiology, and pathology, and discusses the constitutive relations and stress analyses in the normal, mature heart. Finally, the book points the reader to areas of study that require more advanced theoretical, experimental, and computational methods, such as electromechanics, thermomechanics, mixture theory analysis of solid-fluid coupling, and damage mechanics. This book is designed as a text for an upper-division course on cardiovascular solid mechanics but will also serve as a good introduction to soft tissue biomechanics. Exercises at the end of each chapter will clarify complex concepts for both students and more experienced readers. Clinicians, life scientists, engineers, and mathematicians will also find this an invaluable guide, with concise and practical chapters, all of which are amply referenced. Cover illustration: Schema of a developing pathology of the arterial wall under mechanical stress.

Nonlinear Solid Mechanics

Theoretical Formulations and Finite Element Solution Methods
Author: Adnan Ibrahimbegovic
Publisher: Springer Science & Business Media
ISBN: 9048123305
Category: Computers
Page: 574
View: 5999
DOWNLOAD NOW »
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.

Известия высших учебных заведний

Авиационная техника
Author: N.A
Publisher: N.A
ISBN: N.A
Category: Aeronautics
Page: N.A
View: 6043
DOWNLOAD NOW »


Finite Elements of Nonlinear Continua


Author: J. T. Oden
Publisher: Courier Corporation
ISBN: 0486317900
Category: Technology & Engineering
Page: 448
View: 3985
DOWNLOAD NOW »
Geared toward undergraduate and graduate students, this text extends applications of the finite element method from linear problems in elastic structures to a broad class of practical, nonlinear problems in continuum mechanics. It treats both theory and applications from a general and unifying point of view. The text reviews the thermomechanical principles of continuous media and the properties of the finite element method, and then brings them together to produce discrete physical models of nonlinear continua. The mathematical properties of these models are analyzed, along with the numerical solution of the equations governing the discrete model. Though the theory and methods are sufficiently general to be applied to any nonlinear problem, emphasis has been placed on problems in finite elasticity, viscoelasticity, heat conduction, and thermoviscoelasticity. Problems in rarefied gas dynamics and nonlinear partial differential equations are also examined. Other topics include topological properties of finite element models, applications to linear and nonlinear boundary value problems, and discrete models of nonlinear thermomechanical behavior of dissipative media. This comprehensive text is valuable not only to students of structural analysis and continuum mechanics but also to professionals researching the numerical analysis of continua

Biomaterials in Hand Surgery


Author: Antonio Merolli,Thomas J. Joyce
Publisher: Springer Science & Business Media
ISBN: 9788847011953
Category: Medical
Page: 143
View: 2467
DOWNLOAD NOW »
Biomaterials are used in many areas of medicine, particularly in surgery and d- tistry. In orthopedic surgery, total hip arthroplasty has been extremely successful, and has been called ‘the operation of the 20th century’. Total hip arthroplasty is r- tinely performed every day in most orthopedic departments. Over the last decades, many efforts have been made to better integrate the components within the recipient bones, to decrease the friction at the prosthetic interface, and to minimize wear. Minimally invasive procedures have been developed, and various designs are inte- ed to preserve as much as possible of the bone stock of young patients. By contrast, the clinical results have been less favorable after various hand and wrist joint replacements. Many early designs have failed, the clinical data of the current pr- theses are frequently quite limited, and there is often insufficient biomechanical information available, although trapezio-metacarpal arthroplasty in particular has become quite popular in recent years. In order to promote progress in hand and wrist arthroplasty, Antonio Merolli and Thomas J. Joyce have edited this lovely book, whose chapters discuss current research and recent advances in hand and wrist arthroplasty. The problems of metacarpophalangeal joint prostheses are particularly developed.

Nonlinear Finite Elements for Continua and Structures


Author: Ted Belytschko,Wing Kam Liu,Brian Moran,Khalil Elkhodary
Publisher: John Wiley & Sons
ISBN: 1118700082
Category: Science
Page: 832
View: 4967
DOWNLOAD NOW »
This updated and expanded edition of the bestselling textbookprovides a comprehensive introduction to the methods and theory ofnonlinear finite element analysis. New material provides a conciseintroduction to some of the cutting-edge methods that have evolvedin recent years in the field of nonlinear finite element modeling,and includes the eXtended finite element method (XFEM),multiresolution continuum theory for multiscale microstructures,and dislocation-density-based crystalline plasticity. Nonlinear Finite Elements for Continua and Structures, SecondEdition focuses on the formulation and solution of discreteequations for various classes of problems that are of principalinterest in applications to solid and structural mechanics. Topicscovered include the discretization by finite elements of continuain one dimension and in multi-dimensions; the formulation ofconstitutive equations for nonlinear materials and largedeformations; procedures for the solution of the discreteequations, including considerations of both numerical andmultiscale physical instabilities; and the treatment of structuraland contact-impact problems. Key features: Presents a detailed and rigorous treatment of nonlinear solidmechanics and how it can be implemented in finite elementanalysis Covers many of the material laws used in today's software andresearch Introduces advanced topics in nonlinear finite elementmodelling of continua Introduction of multiresolution continuum theory and XFEM Accompanied by a website hosting a solution manual andMATLAB® and FORTRAN code Nonlinear Finite Elements for Continua and Structures, SecondEdition is a must have textbook for graduate students inmechanical engineering, civil engineering, applied mathematics,engineering mechanics, and materials science, and is also anexcellent source of information for researchers and practitionersin industry.

Fusion Nucléaire


Author: N.A
Publisher: N.A
ISBN: N.A
Category: Nuclear fusion
Page: N.A
View: 5694
DOWNLOAD NOW »


Encyclopedia of computational mechanics


Author: Erwin Stein,René de Borst,Thomas J. R. Hughes
Publisher: N.A
ISBN: 9780470846995
Category: Mechanics, Applied
Page: 672
View: 1763
DOWNLOAD NOW »


Finite Element Analysis

Thermomechanics of Solids, Second Edition
Author: David W. Nicholson
Publisher: CRC Press
ISBN: 1420050974
Category: Science
Page: 480
View: 1916
DOWNLOAD NOW »
Explore a Unified Treatment of the Finite Element Method The finite element method has matured to the point that it can accurately and reliably be used, by a careful analyst, for an amazingly wide range of applications. With expanded coverage and an increase in fully solved examples, the second edition of Finite Element Analysis: Thermomechanics of Solids presents a unified treatment of the finite element method in theremomechanics, from the basics to advanced concepts. An Integrated Presentation of Critical Technology As in the first edition, the author presents and explicates topics in a way that demonstrates the highly unified structure of the finite element method. The presentation integrates continuum mechanics and relevant mathematics with persistent reliance on variational and incremental-variational foundations. The author exploits matrix-vector formalisms and Kronecker product algebra to provide transparent and consistent notation throughout the text. Nearly twice as long as the first edition, this second edition features: § Greater integration and balance between introductory and advanced material § Increased number of fully solved examples § Selected developments in numerical methods, detailing accelerating computations in eigenstructure extraction, time integration, and stiffness matrix triangularization § More extensive coverage of the arc length method for nonlinear problems § Expanded and enhanced treatment of rotating bodies and buckling Provides Sophisticated Understanding of Capabilities and Limitations This new edition of a popular text includes significant illustrative examples and applications, modeling strategies, and explores a range of computational issues. Written by a professor with years of practical engineering and instructional experience, the book provides a strong foundation for those requiring a sophisticated understanding of the method’s capabilities and limitations.

Finite element analysis of inelastic behavior of structural steel beams and bridge girders


Author: Pao-Chung Huang
Publisher: N.A
ISBN: N.A
Category:
Page: 294
View: 2970
DOWNLOAD NOW »


Advances in Protective Structures Research


Author: Hong Hao,Zhong-Xian Li
Publisher: CRC Press
ISBN: 0203073088
Category: Technology & Engineering
Page: 408
View: 8834
DOWNLOAD NOW »
The International Association of Protective Structures (IAPS) was launched on 1 October 2010 in Manchester, UK during the first International Conference of Protective Structures. The primary purpose of IAPS is to bring researchers and engineers working in the area of protective structures together, and to promote research and development work for better life and structure protection against shock and impact loads. More information can be found at http://www.protectivestructures.org/contact.html. Advances in Protective Structures Research is the first publication in a series of planned publications by IAPS. It contains 13 chapters prepared by active and prominent researchers around the world in the area of protective structures. It covers the dynamic material model and material properties, structural response analysis, structural reliability analysis, impact loads and ground shock. The contents of the book reflect well the current research achievements and practice in structural protection against blast and impact loads. They represent the advanced international research status in theoretical derivations, numerical simulations, and laboratory and field tests for structure protections.