Articles by "Elasticity"

Showing posts with label Elasticity. Show all posts

Martin H. Sadd ... 624 pages - Publisher: Academic Press; 4th edition (April, 2020) - Language: English ... ISBN-10: 0128159871 - ISBN-13: 978-0128159873.


Elasticity: Theory, Applications, and Numerics, Fourth Edition, continues its market-leading tradition of concisely presenting and developing the linear theory of elasticity, moving from solution methodologies, formulations, and strategies into applications of contemporary interest, such as fracture mechanics, anisotropic and composite materials, micromechanics, nonhomogeneous graded materials, and computational methods.

Developed for a one- or two-semester graduate elasticity course, this new edition has been revised with new worked examples and exercises, and new or expanded coverage of areas such as treatment of large deformations, fracture mechanics, strain gradient and surface elasticity theory, and tensor analysis. Using MATLAB software, numerical activities in the text are integrated with analytical problem solutions. Online ancillary support materials for instructors include a solutions manual, image bank, and a set of PowerPoint lecture slides.

Stephen P. Timoshenko, James M. Gere ...  560 pages - Publisher: Dover Publications; 2nd edition (June, 2009) ... Language: English - ISBN-10: 0486472078 - ISBN-13: 978-0486472072.

The best available guide to the elastic stability of large structures, this book introduces the principles and theory of structural stability. It was co-authored by the father of modern engineering mechanics, Stephen Timoshenko, and James Gere, who updated the materials and worked closely with Dr. Timoshenko. Relevant to aspects of civil, mechanical, and aerospace engineering, this classic covers the essentials of static and dynamic instabilities. Topics range from theoretical explanations of 2- and 3-D stress and strain to practical applications such as torsion, bending, thermal stress, and wave propagation through solids. Additional subjects include beam columns, curved bars and arches, buckling of rings, and experiments and design formulas. Particularly suitable for advanced undergraduate and graduate students of engineering, this volume is also an indispensable reference for professionals.

Martin H. Sadd ... 552 pages - Publisher: Academic Press; 2nd edition (February, 2009) ... Language: English - ASIN: B006QUYQXA by Amazon Digital Services ...

Elasticity: Theory, Applications and Numerics 2e provides a concise and organized presentation and development of the theory of elasticity, moving from solution methodologies, formulations and strategies into applications of contemporary interest, including fracture mechanics, anisotropic/composite materials, micromechanics and computational methods. Developed as a text for a one- or two-semester graduate elasticity course, this new edition is the only elasticity text to provide coverage in the new area of non-homogenous, or graded, material behavior. Extensive end-of-chapter exercises throughout the book are fully incorporated with the use of MATLAB software. Key Features: * Provides a thorough yet concise introduction to general elastic theory and behavior * Demonstrates numerous applications in areas of contemporary interest including fracture mechanics, anisotropic/composite and graded materials, micromechanics, and computational methods * The only current elasticity text to incorporate MATLAB into its extensive end-of-chapter exercises * The book's organization makes it well-suited for a one or two semester course in elastictiy. Features New to the Second Edition: * First elasticity text to offer a chapter on non-homogenous, or graded, material behavior * New appendix on review of undergraduate mechanics of materials theory to make the text more self-contained * 355 end of chapter exercises – 30% NEW to this edition.

J. A. König ... 224 pages - Publisher: North Holland; (December, 2012) ... Language: English - ASIN: B01DRXANW6 by Amazon Digital Services ...

In this book, the author has collected existing information on the analysis of elastic-plastic structures subjected to variable repeated loads and to variable temperature fields. He presents the foundations of the theory and its applications to the shakedown analysis of structures of various types and to computational algorithms. The book provides useful and interesting material for students of civil and mechanical engineering, practising engineers with a good mathematical background and also scientists concerned with the analysis of inelastic structures.

Martin H. Sadd - 600 pages - Publisher: Academic Press; 3rd edition (January, 2014) ... Language: English - AmazonSIN: B00IHZFZIW.

Elasticity: Theory, Applications, and Numerics, Third Edition, continues its market-leading tradition of concisely presenting and developing the linear theory of elasticity, moving from solution methodologies, formulations, and strategies into applications of contemporary interest, such as fracture mechanics, anisotropic and composite materials, micromechanics, nonhomogeneous graded materials, and computational methods. Developed for a one- or two-semester graduate elasticity course, this new edition has been revised with new worked examples and exercises, and new or expanded coverage of areas such as spherical anisotropy, stress contours, isochromatics, isoclinics, and stress trajectories. Using MATLAB software, numerical activities in the text are integrated with analytical problem solutions. These numerics aid in particular calculations, graphically present stress and displacement solutions to problems of interest, and conduct simple finite element calculations, enabling comparisons with previously studied analytical solutions. Online ancillary support materials for instructors include a solutions manual, image bank, and a set of PowerPoint lecture slides. Thorough yet concise introduction to linear elasticity theory and applications + Only text providing detailed solutions to problems of nonhomogeneous/graded materials + New material on stress contours/lines, contact stresses, curvilinear anisotropy applications + Further and new integration of MATLAB software + Addition of many new exercises + Comparison of elasticity solutions with elementary theory, experimental data, and numerical simulations + Online solutions manual and downloadable MATLAB code.

Mumtaz Kassir ... 563 pages - Publisher: CRC Press; 1st edition (October, 2017) ... Language: English - ISBN-10: 1138061913 - ISBN-13: 978-1138061910 ...

Applied Elasticity and Plasticity is a comprehensive work that introduces graduate students and professionals in civil, mechanical, aeronautical and metallurgical engineering to the basic theories of elasticity, plasticity and their practical applications. Based on experimental data of static tension tests of material, several elastic and plastic stress-strain relations are derived, and commonly-used yield criteria and strain hardening rules are discussed as well. Analysis of conventional, deviatoric and mathematical stress and strain in two and three dimensions is presented. Analytical applications include torsion and bending of structural components subjected to various loadings, thick-walled cylindrical and spherical vessels subjected to internal and external pressures, stress-concentrations around holes, stress-intensity factors in structural components containing circular, elliptical and many more concepts important for professionals and students alike.

J. N. Reddy ... 568 pages - Publisher: CRC Press; 2nd edition (November 20, 2006) - Language: English - ISBN-10: 084938415X - ISBN-13: 978-0849384158 ...

Because plates and shells are common structural elements in aerospace, automotive, and civil engineering structures, engineers must understand the behavior of such structures through the study of theory and analysis. Compiling this information into a single volume, Theory and Analysis of Elastic Plates and Shells, Second Edition presents a complete, up-to-date, and unified treatment of classical and shear deformation plates and shells, from the basic derivation of theories to analytical and numerical solutions. Revised and updated, this second edition incorporates new information in most chapters, along with some rearrangement of topics to improve the clarity of the overall presentation. The book presents new material on the theory and analysis of shells, featuring an additional chapter devoted to the topic. The author also includes new sections that address Castigliano's theorems, axisymmetric buckling of circular plates, the relationships between the solutions of classical and shear deformation theories, and the nonlinear finite element analysis of plates. The book provides many illustrations of theories, formulations, and solution methods, resulting in an easy-to-understand presentation of the topics. Like the previous edition, this book remains a suitable textbook for a course on plates and shells in aerospace, civil, and mechanical engineering curricula and continues to serve as a reference for industrial and academic structural engineers and scientists.

A. Libai, J. G. Simmonds ... 564 pages - Publisher: Cambridge Univ. Press; 2nd edition (December, 2005) ... Language: English - ISBN-10: 0521019761 - ISBN-13: 978-0521019767 ...

Elastic shells are pervasive in everyday life. Examples of these thin-walled structures range from automobile hoods to basketballs, veins and arteries, and soft drink cans. This book explains shell theory, with numerous examples and applications. This second edition not only brings all the material of the first edition entirely up to date; it also adds two entirely new chapters on general shell theory and general membrane theory. Aerospace, mechanical, and civil engineers, as well as applied mathematicians, will find this book a clearly written and thorough information source on shell theory.

Phillip L. Gould ... 256 pages - Publisher: Springer; 2nd edition (December, 1993) ...
Language: English - ISBN-10: 0199552134 - ISBN-13: 978-0387941004 ...

This applications-oriented introduction fills an important gap in the field of solid mechanics. Offering a thorough grounding in the tensor-based theory of elasticity for courses in mechanical, civil, materials or aeronautical engineering, it allows students to apply the basic notions of mechanics to such important topics as stress analysis. Further, they will also acquire the necessary background for more advanced work in elasticity, plasticity, shell theory, composite materials and finite element mechanics. This second edition features new chapters on the bending of thin plates, time-dependent effects, and strength and failure criteria.

William S. Slaughter ... 543 pages - Publisher: Birkhäuser; (December, 2001) ... Language: English - ISBN-10: 0817641173 - ISBN-13: 978-0817641177 ...

This book is derived from notes used in teaching a first-year graduate-level course in elasticity in the Department of Mechanical Engineering at the University of Pittsburgh. This is a modern treatment of the linearized theory of elasticity, which is presented as a specialization of the general theory of continuum mechanics. It includes a comprehensive introduction to tensor analysis, a rigorous development of the governing field equations with an emphasis on recognizing the assumptions and approximations in­ herent in the linearized theory, specification of boundary conditions, and a survey of solution methods for important classes of problems. Two- and three-dimensional problems, torsion of noncircular cylinders, variational methods, and complex variable methods are covered. This book is intended as the text for a first-year graduate course in me­ chanical or civil engineering. Sufficient depth is provided such that the text can be used without a prerequisite course in continuum mechanics, and the material is presented in such a way as to prepare students for subsequent courses in nonlinear elasticity, inelasticity, and fracture mechanics. Alter­ natively, for a course that is preceded by a course in continuum mechanics, there is enough additional content for a full semester of linearized elasticity.

Yukitaka Murakami ... 472 pages - Publisher: Wiley; 1st edition (November, 2016) ...
Language: English - ISBN-10: 1119274095 - ISBN-13: 978-1119274094 ...

A comprehensive guide to elasticity and stress concentration:  Theory of Elasticity and Stress Concentration comprehensively covers elasticity and stress concentration and demonstrates how to apply the theory to practical engineering problems. The book presents a new approach to the topic without the need for complicated mathematics, and the principles and meaning of stress concentration are covered without reliance on numerical analysis. The book consists of two parts: Part I - Theory of Elasticity and Part II - Stress Concentration. Part I treats the theory of elasticity from the viewpoint of helping the reader to comprehend the essence of it. Part II treats the principle and meaning of stress concentration and guides the reader to a better understanding of it. Throughout the book, many useful and interesting applications of the basic new way of thinking are presented and explained.

Key features: Unique approach to the topics. Encourages the readers to acquire the new way of thinking and engineering judgement. Includes examples, problems and solutions. This book provides essential reading for researchers and practitioners in the structural and mechanical engineering industries.

A. Anandarajah ... 653 pages - Publisher: Springer; 2010 edition (November, 2014) ... Language: English - ISBN-10: 1489982418 - ISBN-13: 978-1489982414 ...

This book presents the latest developments in the area of elasto-plastic finite element modeling of solids, particulates and pressure-dependent materials and structures. It also contains problem sets, exercises and a solutions manual for instructors. 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.

Andreas Öchsner ... 596 pages - Publisher: Springer; (August, 2014) ...
Language: English - ASIN: B00RZI3D68 by Amazon Digital Services ... 

The finite element method is a powerful tool even for non-linear materials’ modeling. But commercial solutions are limited and many novel materials do not follow standard constitutive equations on a macroscopic scale. Thus, is it required that new constitutive equations are implemented into the finite element code. However, it is not sufficient to simply implement only the equations but also an appropriate integration algorithm for the constitutive equation must be provided. This book is restricted to one-dimensional plasticity in order to reduce and facilitate the mathematical formalism and theory and to concentrate on the basic ideas of elasto-plastic finite element procedures. A comprehensive set of completely solved problems is designed for the thorough understand of the presented theory. After working with this new book and reviewing the provided solved and supplementary problems, it should be much easier to study and understand the advanced theory and the respective text books.

Anthony E. Armenàkas ... 992 pages - Publisher: CRC Press; 1st edition (August, 2005) ...
Language: English - ISBN-10: 0849398991 - ISBN-13: 978-0849398995 ...

This book presents both differential equation and integral formulations of boundary value problems for computing the stress and displacement fields of solid bodies at two levels of approximation - isotropic linear theory of elasticity as well as theories of mechanics of materials. Moreover, the book applies these formulations to practical solutions in detailed, easy-to-follow examples.

Advanced Mechanics of Materials and Applied Elasticity presents modern and classical methods of analysis in current notation and in the context of current practices. The author's well-balanced choice of topics, clear and direct presentation, and emphasis on the integration of sophisticated mathematics with practical examples offer students in civil, mechanical, and aerospace engineering an unparalleled guide and reference for courses in advanced mechanics of materials, stress analysis, elasticity, and energy methods in structural analysis.

Zdenek P. Bazant, Luigi Cedolin .... 1040 pages - Publisher: World Scientific; (August, 2010) ... Language: English - ISBN-10: 9814317039 - ISBN-13: 978-9814317030 ...

A crucial element of structural and continuum mechanics, stability theory has limitless applications in civil, mechanical, aerospace, naval and nuclear engineering. This text of unparalleled scope presents a comprehensive exposition of the principles and applications of stability analysis. It has been proven as a text for introductory courses and various advanced courses for graduate students. It is also prized as an exhaustive reference for engineers and researchers. The authors' focus on understanding of the basic principles rather than excessive detailed solutions, and their treatment of each subject proceed from simple examples to general concepts and rigorous formulations. All the results are derived using as simple mathematics as possible. Numerous examples are given and 700 exercise problems help in attaining a firm grasp of this central aspect of solid mechanics. The book is an unabridged republication of the 1991 edition by Oxford University Press and the 2003 edition by Dover, updated with 18 pages of end notes.

Koichi Hashiguchi, Yuki Yamakawa ... 440 pages - Publisher: Wiley; 1st edition (November, 2012) ... Language: English - ISBN-10: 1119951852 - ISBN-13: 978-1119951858 ...

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.

Alexander H. D. Cheng ... 877 pages - Publisher: Springer; 1st edition (April, 2016) ... Language: English - ISBN-10: 3319252003 - ISBN-13: 978-3319252001 ...

This book treats the mechanics of porous materials infiltrated with a fluid (poromechanics), focussing on its linear theory (poroelasticity). Porous materials from inanimate bodies such as sand, soil and rock, living bodies such as plant tissue, animal flesh, or man-made materials can look very different due to their different origins, but as readers will see, the underlying physical principles governing their mechanical behaviors can be the same, making this work relevant not only to engineers but also to scientists across other scientific disciplines. Readers will find discussions of physical phenomena including soil consolidation, land subsidence, slope stability, borehole failure, hydraulic fracturing, water wave and seabed interaction, earthquake aftershock, fluid injection induced seismicity and heat induced pore pressure spalling as well as discussions of seismoelectric and seismoelectromagnetic effects. The work also explores the biomechanics of cartilage, bone and blood vessels. Chapters present theory using an intuitive, phenomenological approach at the bulk continuum level, and a thermodynamics-based variational energy approach at the micromechanical level. The physical mechanisms covered extend from the quasi-static theory of poroelasticity to poroelastodynamics, poroviscoelasticity, porothermoelasticity, and porochemoelasticity. Closed form analytical solutions are derived in details. This book provides an excellent introduction to linear poroelasticity and is especially relevant to those involved in civil engineering, petroleum and reservoir engineering, rock mechanics, hydrology, geophysics, and biomechanic

Lev Davidovich Landau, E. M. Lifshitz ...
195 pages - Publisher: Butterworth-Heinemann; 3rd edition (January, 1986) ...
Language: English - ISBN-10: 075062633X - ISBN-13: 978-0750626330 ...

A comprehensive textbook covering not only the ordinary theory of the deformation of solids, but also some topics not usually found in textbooks on the subject, such as thermal conduction and viscosity in solids.

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