Engineering Mechanics

Volume 2: Stresses, Strains, Displacements

Author: C. Hartsuijker,J.W. Welleman

Publisher: Springer Science & Business Media

ISBN: 1402057636

Category: Technology & Engineering

Page: 871

View: 6403


Here is a systematic and clearly laid out text on structural and continuum mechanics. Containing hundreds of diagrams, drawings and examples, this work dovetails theoretical developments and figures in a beautifully conceived treatment of the subject. The book also covers stresses and strains in simple elements subjected to extension, bending, shear and torsion. For elementary structures, simple load displacements are obtained using both classical mathematics descriptions and engineering methods like Williot diagrams.

Engineering Solid Mechanics

Fundamentals and Applications

Author: SalahEldinAhm Bayoumi

Publisher: Routledge

ISBN: 1351450913

Category: Science

Page: 944

View: 3358


Engineering Solid Mechanics bridges the gap between elementary approaches to strength of materials and more advanced, specialized versions on the subject. The book provides a basic understanding of the fundamentals of elasticity and plasticity, applies these fundamentals to solve analytically a spectrum of engineering problems, and introduces advanced topics of mechanics of materials - including fracture mechanics, creep, superplasticity, fiber reinforced composites, powder compacts, and porous solids. Text includes: stress and strain, equilibrium, and compatibility elastic stress-strain relations the elastic problem and the stress function approach to solving plane elastic problems applications of the stress function solution in Cartesian and polar coordinates Problems of elastic rods, plates, and shells through formulating a strain compatibility function as well as applying energy methods Elastic and elastic-plastic fracture mechanics Plastic and creep deformation Inelastic deformation and its applications This book presents the material in an instructive manner, suitable for individual self-study. It emphasizes analytical treatment of the subject, which is essential for handling modern numerical methods as well as assessing and creating software packages. The authors provide generous explanations, systematic derivations, and detailed discussions, supplemented by a vast variety of problems and solved examples. Primarily written for professionals and students in mechanical engineering, Engineering Solid Mechanics also serves persons in other fields of engineering, such as aerospace, civil, and material engineering.

The Finite Element Method in Engineering

Author: Singiresu S. Rao

Publisher: Elsevier

ISBN: 9780080952048

Category: Technology & Engineering

Page: 726

View: 6331


The Finite Element Method in Engineering, Fifth Edition, provides a complete introduction to finite element methods with applications to solid mechanics, fluid mechanics, and heat transfer. Written by bestselling author S.S. Rao, this book provides students with a thorough grounding of the mathematical principles for setting up finite element solutions in civil, mechanical, and aerospace engineering applications. The new edition of this textbook includes examples using modern computer tools such as MatLab, Ansys, Nastran, and Abaqus. This book discusses a wide range of topics, including discretization of the domain; interpolation models; higher order and isoparametric elements; derivation of element matrices and vectors; assembly of element matrices and vectors and derivation of system equations; numerical solution of finite element equations; basic equations of fluid mechanics; inviscid and irrotational flows; solution of quasi-harmonic equations; and solutions of Helmhotz and Reynolds equations. New to this edition are examples and applications in Matlab, Ansys, and Abaqus; structured problem solving approach in all worked examples; and new discussions throughout, including the direct method of deriving finite element equations, use of strong and weak form formulations, complete treatment of dynamic analysis, and detailed analysis of heat transfer problems. All figures are revised and redrawn for clarity. This book will benefit professional engineers, practicing engineers learning finite element methods, and students in mechanical, structural, civil, and aerospace engineering. Examples and applications in Matlab, Ansys, and Abaqus Structured problem solving approach in all worked examples New discussions throughout, including the direct method of deriving finite element equations, use of strong and weak form formulations, complete treatment of dynamic analysis, and detailed analysis of heat transfer problems More examples and exercises All figures revised and redrawn for clarity


Author: J. R. Barber

Publisher: Springer Science & Business Media

ISBN: 9048138094

Category: Technology & Engineering

Page: 534

View: 704


The subject of Elasticity can be approached from several points of view, - pending on whether the practitioner is principally interested in the mat- matical structure of the subject or in its use in engineering applications and, in the latter case, whether essentially numerical or analytical methods are envisaged as the solution method. My ?rst introduction to the subject was in response to a need for information about a speci?c problem in Tribology. As a practising Engineer with a background only in elementary Mechanics of - terials, I approached that problem initially using the concepts of concentrated forces and superposition. Today, with a rather more extensive knowledge of analytical techniques in Elasticity, I still ?nd it helpful to go back to these roots in the elementary theory and think through a problem physically as well as mathematically, whenever some new and unexpected feature presents di?culties in research. This way of thinking will be found to permeate this book. My engineering background will also reveal itself in a tendency to work examples through to ?nal expressions for stresses and displacements, rather than leave the derivation at a point where the remaining manipulations would be mathematically routine. The ?rst edition of this book, published in 1992, was based on a one semester graduate course on Linear Elasticity that I have taught at the U- versity of Michigan since 1983.

Experimental Mechanics of Solids

Author: Cesar A. Sciammarella,Federico M. Sciammarella

Publisher: John Wiley & Sons

ISBN: 1119970091

Category: Science

Page: 480

View: 687


Experimental solid mechanics is the study of materials to determine their physical properties. This study might include performing a stress analysis or measuring the extent of displacement, shape, strain and stress which a material suffers under controlled conditions. In the last few years there have been remarkable developments in experimental techniques that measure shape, displacement and strains and these sorts of experiments are increasingly conducted using computational techniques. Experimental Mechanics of Solids is a comprehensive introduction to the topics, technologies and methods of experimental mechanics of solids. It begins by establishing the fundamentals of continuum mechanics, explaining key areas such as the equations used, stresses and strains, and two and three dimensional problems. Having laid down the foundations of the topic, the book then moves on to look at specific techniques and technologies with emphasis on the most recent developments such as optics and image processing. Most of the current computational methods, as well as practical ones, are included to ensure that the book provides information essential to the reader in practical or research applications. Key features: Presents widely used and accepted methodologies that are based on research and development work of the lead author Systematically works through the topics and theories of experimental mechanics including detailed treatments of the Moire, Speckle and holographic optical methods Includes illustrations and diagrams to illuminate the topic clearly for the reader Provides a comprehensive introduction to the topic, and also acts as a quick reference guide This comprehensive book forms an invaluable resource for graduate students and is also a point of reference for researchers and practitioners in structural and materials engineering.

Foundations of Solid Mechanics

Author: P. Karasudhi

Publisher: Taylor & Francis

ISBN: 9780792307723

Category: Science

Page: 439

View: 3114


This book has been written with two purposes, as a textbook for engineering courses and as a reference book for engineers and scientists. The book is an outcome of several lecture courses. These include lectures given to graduate students at the Asian Institute of Technology for several years, a course on elasticity for University of Tokyo graduate students in the spring of 1979, and courses on elasticity, viscoelasticity and ftnite deformation at the National University of Singapore from May to November 1985. In preparing this book, I kept three objectives in mind: ftrst, to provide sound fundamental knowledge of solid mechanics in the simplest language possible; second, to introduce effective analytical and numerical solution methods; and third, to impress on readers that the subject is beautiful, and is accessible to those with only a standard mathematical background. In order to meet those objectives, the ftrst chapter of the book is a review of mathematical foundations intended for anyone whose background is an elementary knowledge of differential calculus, scalars and vectors, and Newton's laws of motion. Cartesian tensors are introduced carefully. From then on, only Cartesian tensors in the indicial notation, with subscript as indices, are used to derive and represent all theories.

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: 4427


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.

Mechanics and Durability of Solids

Author: Franz-Josef Ulm,Olivier Coussy

Publisher: N.A

ISBN: 9780130479570

Category: Science

Page: 389

View: 3900


Intended for a first course in continuum mechanics and constitutive modeling at the senior undergraduate and the introductory graduate level, the focus of this book is on a unified "mechanistic" approach that uses energy concepts for modeling a large range of engineering material behavior. In the presentation, 1D-Think models lead to the development of various fundamentals of continuum mechanics, such as deformation and strain, momentum balance, stress and stress states, thermoelasticity and elasticity bounds, plasticity, and yield design. Along these lines, the bases for a common language among core disciplines in engineering sciences are developed, in a mathematical, yet eloquent manner. The textbook evolved from lecture notes of a one-semester course developed by the authors at the Massachusetts Institute of Technology, as well as in France, Germany, and Brazil. "Key Features of the Book" Parts I and II introduce the two pillars of continuum mechanics, strain and stresses, with a focus on geometrical and physical interpretation, starting with the finite deformation theory. Part III is dedicated to non-dissipative material behavior, with a focus on thermoelasticity and variational methods in elasticity, as well as to its application in heterogeneous material systems. Part IV starts with 1D-plasticity, introducing ideal plasticity, hardening plasticity, and associated energy transformations. It is within the energy approach that the 1D-Think models are extended to 3D, introducing the notion of associated and non-associated plasticity. Finally, the concept of plastic collapse is introduced, leading to the development of the upper- and lower-boundtheorems of limit analysis, which form the basis of modern yield design for engineering structures and material systems. The mathematical developments in each chapter are illustrated through a set of accompanying blackboard exercises of the subject matter, a Training Set for recitation, followed by a broad spectrum of worked exercises suitable for homework, classroom assignments, quizzes, or take-home examinations.

III European Conference on Computational Mechanics

Solids, Structures and Coupled Problems in Engineering: Book of Abstracts

Author: C. A. Mota Soares,J.A.C. Martins,H.C. Rodrigues,Jorge A.C. Ambrosio,C.A.B. Pina,C.M. Mota Soares,E.B.R. Pereira,J. Folgado

Publisher: Springer Science & Business Media

ISBN: 1402053703

Category: Technology & Engineering

Page: 788

View: 9612


III European Conference on Computational Mechanics: Solids, Structures and Coupled Problem in Engineering Computational Mechanics in Solid, Structures and Coupled Problems in Engineering is today a mature science with applications to major industrial projects. This book contains the edited version of the Abstracts of Plenary and Keynote Lectures and Papers, and a companion CD-ROM with the full-length papers, presented at the III European Conference on Computational Mechanics: Solids, Structures and Coupled Problems in Engineering (ECCM-2006), held in the National Laboratory of Civil Engineering, Lisbon, Portugal 5th - 8th June 2006. The book reflects the state-of-art of Computation Mechanics in Solids, Structures and Coupled Problems in Engineering and it includes contributions by the world most active researchers in this field.

Thermal Stresses -- Advanced Theory and Applications

Author: Richard B. Hetnarski,M. Reza Eslami

Publisher: Springer Science & Business Media

ISBN: 1402092466

Category: Technology & Engineering

Page: 560

View: 3049


The authors are pleased to present Thermal Stresses – Advanced Theory and Applications. This book will serve a wide range of readers, in particular, gr- uate students, PhD candidates, professors, scientists, researchers in various industrial and government institutes, and engineers. Thus, the book should be considered not only as a graduate textbook, but also as a reference handbook to those working or interested in areas of Applied Mathematics, Continuum Mechanics, Stress Analysis, and Mechanical Design. In addition, the book p- vides extensive coverage of great many theoretical problems and numerous references to the literature. The ?eld of Thermal Stresses lies at the crossroads of Stress Analysis, T- ory of Elasticity, Thermodynamics, Heat Conduction Theory, and advanced methods of Applied Mathematics. Each of these areas is covered to the extend it is necessary. Therefore, the book is self-contained, so that the reader should not need to consult other sources while studying the topic. The book starts from basic concepts and principles, and these are developed to more advanced levels as the text progresses. Nevertheless, some basic preparation on the part of the reader in Classical Mechanics, Stress Analysis, and Mathematics, - cluding Vector and Cartesian Tensor Analysis is expected. While selecting material for the book, the authors made every e?ort to present both classical topics and methods, and modern, or more recent, dev- opments in the ?eld. The book comprises ten chapters.

The Finite Element Method: Solid mechanics

Author: O. C. Zienkiewicz,Robert Leroy Taylor

Publisher: Butterworth-Heinemann

ISBN: 9780750650557

Category: Mathematics

Page: 459

View: 2822


In the years since the fourth edition of this seminal work was published, active research has developed the Finite Element Method into the pre-eminent tool for the modelling of physical systems. Written by the pre-eminent professors in their fields, this new edition of the Finite Element Method maintains the comprehensive style of the earlier editions and authoritatively incorporates the latest developments of this dynamic field. Expanded to three volumes the book now covers the basis of the method and its application to advanced solid mechanics and also advanced fluid dynamics. Volume Two: Solid and Structural Mechanics is intended for readers studying structural mechanics at a higher level. Although it is an ideal companion volume to Volume One: The Basis, this advanced text also functions as a "stand-alone" volume, accessible to those who have been introduced to the Finite Element Method through a different route. Volume 1 of the Finite Element Method provides a complete introduction to the method and is essential reading for undergraduates, postgraduates and professional engineers. Volume 3 covers the whole range of fluid dynamics and is ideal reading for postgraduate students and professional engineers working in this discipline. Coverage of the concepts necessary to model behaviour, such as viscoelasticity, plasticity and creep, as well as shells and plates.Up-to-date coverage of new linked interpolation methods for shell and plate formations.New material on non-linear geometry, stability and buckling of structures and large deformations.

Principles of Composite Material Mechanics, Second Edition

Author: Ronald F. Gibson

Publisher: CRC Press

ISBN: 1420014242

Category: Technology & Engineering

Page: 608

View: 330


Extensively updated and maintaining the high standard of the popular original, Principles of Composite Material Mechanics, Second Edition reflects many of the recent developments in the mechanics of composite materials. It draws on the decades of teaching and research experience of the author and the course material of the senior undergraduate and graduate level classes he has taught. New and up-to-date information throughout the text brings modern engineering students everything they need to advance their knowledge of the evermore common composite materials. The introduction strengthens the book’s emphasis on basic principles of mechanics by adding a review of the basic mechanics of materials equations. New appendices cover the derivations of stress equilibrium equations and the strain–displacement relations from elasticity theory. Additional sections address recent applications of composite mechanics to nanocomposites, composite grid structures, and composite sandwich structures. More detailed discussion of elasticity and finite element models have been included along with results from the recent World Wide Failure Exercise. The author takes a phenomenological approach to illustrate linear viscoelastic behavior of composites. Updated information on the nature of fracture and composite testing includes coverage of the finite element implementation of the Virtual Crack Closure technique and new and revised ASTM standard test methods. The author includes updated and expanded material property tables, many more example problems and homework exercises, as well as new reference citings throughout the text. Requiring a solid foundation in materials mechanics, engineering, linear algebra, and differential equations, Principles of Composite Materials Mechanics, Second Edition provides the advanced knowledge in composite materials needed by today’s materials scientists and engineers.

Strength of Materials and Structures

An Introduction to the Mechanics of Solids and Structures

Author: John Case,A. H. Chilver

Publisher: Elsevier

ISBN: 1483183270

Category: Technology & Engineering

Page: 416

View: 4492


Strength of Materials and Structures: An Introduction to the Mechanics of Solids and Structures provides an introduction to the application of basic ideas in solid and structural mechanics to engineering problems. This book begins with a simple discussion of stresses and strains in materials, structural components, and forms they take in tension, compression, and shear. The general properties of stress and strain and its application to a wide range of problems are also described, including shells, beams, and shafts. This text likewise considers an introduction to the important principle of virtual work and its two special forms—leading to strain energy and complementary energy. The last chapters are devoted to buckling, vibrations, and impact stresses. This publication is a good reference for engineering undergraduates who are in their first or second years.

Transputer Research and Applications 4

NATUG-4. Proceedings of the Fourth Conference of the North American Transputer Users Group, October 11-12, 1990, Ithaca, NY

Author: North American Transputer Users Group

Publisher: IOS Press

ISBN: 9789051990409

Category: Computers

Page: 250

View: 3109


Anisotropic Elastic Plates

Author: Chyanbin Hwu

Publisher: Springer Science & Business Media

ISBN: 1441959157

Category: Technology & Engineering

Page: 673

View: 5079


As structural elements, anisotropic elastic plates find wide applications in modern technology. The plates here are considered to be subjected to not only inplane load but also transverse load. In other words, both plane and plate bending problems as well as the stretching-bending coupling problems are all explained in this book. In addition to the introduction of the theory of anisotropic elasticity, several important subjects have are discussed in this book such as interfaces, cracks, holes, inclusions, contact problems, piezoelectric materials, thermoelastic problems and boundary element analysis.

Elementary Continuum Mechanics for Everyone

With Applications to Structural Mechanics

Author: Esben Byskov

Publisher: Springer Science & Business Media

ISBN: 9400757662

Category: Science

Page: 593

View: 9001


The book opens with a derivation of kinematically nonlinear 3-D continuum mechanics for solids. Then the principle of virtual work is utilized to derive the simpler, kinematically linear 3-D theory and to provide the foundation for developing consistent theories of kinematic nonlinearity and linearity for specialized continua, such as beams and plates, and finite element methods for these structures. A formulation in terms of the versatile Budiansky-Hutchinson notation is used as basis for the theories for these structures and structural elements, as well as for an in-depth treatment of structural instability.

Partial Differential Equations in Mechanics 2

The Biharmonic Equation, Poisson's Equation

Author: A.P.S. Selvadurai

Publisher: Springer Science & Business Media

ISBN: 9783540672845

Category: Mathematics

Page: 698

View: 2859


This two-volume work mainly addresses undergraduate and gra- duate students in the engineering sciences and applied ma- thematics. Hence it focuses on partial differential equati- ons with a strong emphasis on illustrating important appli- cations in mechanics. The presentation considers the general derivation of partial differential equations and the formu- lation of consistent boundary and initial conditions requi- red to develop well-posed mathematical statements of pro- blems in mechanics. The worked examples within the text and problem sets at the end of each chapter highlight enginee- ring applications. The mathematical developments include a complete discussion of uniqueness theorems and, where rele- vant, a discussion of maximum and miniumum principles. The primary aim of these volumes is to guide the student to pose and model engineering problems, in a mathematically correct manner, within the context of the theory of partial differential equations in mechanics.

Cavity Expansion Methods in Geomechanics

Author: Hai-Sui Yu

Publisher: Springer Science & Business Media

ISBN: 9780412799907

Category: Mathematics

Page: 385

View: 1563


Cavity expansion theory is a simple theory that has found many applications in geotechnical engineering. In particular, it has been used widely to analyse problems relating to deep foundations, in-situ testing, underground excavation and tunnelling, and wellbore instability. Although much research has been carried out in this field, all the major findings are reported in the form of reports and articles published in technical journals and conference proceedings. To facilitate applications and further development of cavity expansion theory, there is a need for the geotechnical community to have a single volume presentation of cavity expansion theory and its applications in solid and rock mechanics. This book is the first attempt to summarize and present, in one volume, the major developments achieved to date in the field of cavity expansion theory and its applications in geomechanics. Audience: Although it is intended primarily as a reference book for civil, mining, and petroleum engineers who are interested in cavity expansion methods, the solutions presented in the book will also be of interest to students and researchers in the fields of applied mechanics and mechanical engineering.