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Elasticity

Elasticity PDF Author: J. R. Barber
Publisher: Springer Nature
ISBN: 303115214X
Category : Technology & Engineering
Languages : en
Pages : 642

Book Description
This book emphasizes engineering applications of elasticity. This is a first-year graduate textbook in linear elasticity. It is written with the practical engineering reader in mind, dependence on previous knowledge of solid mechanics, continuum mechanics or mathematics being minimized. Examples are generally worked through to final expressions for the stress and displacement fields in order to explore the engineering consequences of the results. This 4th edition presents new and revised material, notably on the Eshelby inclusion problem and anisotropic elasticity. The topics covered are chosen with a view to modern research applications in fracture mechanics, composite materials, tribology and numerical methods. Thus, significant attention is given to crack and contact problems, problems involving interfaces between dissimilar media, thermoelasticity, singular asymptotic stress fields and three-dimensional problems.

Elasticity

Elasticity PDF Author: J. R. Barber
Publisher: Springer Nature
ISBN: 303115214X
Category : Technology & Engineering
Languages : en
Pages : 642

Book Description
This book emphasizes engineering applications of elasticity. This is a first-year graduate textbook in linear elasticity. It is written with the practical engineering reader in mind, dependence on previous knowledge of solid mechanics, continuum mechanics or mathematics being minimized. Examples are generally worked through to final expressions for the stress and displacement fields in order to explore the engineering consequences of the results. This 4th edition presents new and revised material, notably on the Eshelby inclusion problem and anisotropic elasticity. The topics covered are chosen with a view to modern research applications in fracture mechanics, composite materials, tribology and numerical methods. Thus, significant attention is given to crack and contact problems, problems involving interfaces between dissimilar media, thermoelasticity, singular asymptotic stress fields and three-dimensional problems.

Elasticity

Elasticity PDF Author: Martin H. Sadd
Publisher: Academic Press
ISBN: 012815988X
Category : Technology & Engineering
Languages : en
Pages : 626

Book Description
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. - Provides a thorough yet concise introduction to linear elasticity theory and applications - Offers detailed solutions to problems of nonhomogeneous/graded materials - Features a comparison of elasticity solutions with elementary theory, experimental data, and numerical simulations - Includes online solutions manual and downloadable MATLAB code

Elasticity with Mathematica ®

Elasticity with Mathematica ® PDF Author: Andrei Constantinescu
Publisher: Cambridge University Press
ISBN: 9780521842013
Category : Science
Languages : en
Pages : 266

Book Description
This book is intended for researchers, engineers and students in solid mechanics, materials science and physics who are interested in using the power of modern computing to solve a wide variety of problems of both practical and fundamental significance in elasticity. Extensive use of Mathematica in the book makes available to the reader a range of recipes that can be readily adjusted to match particular tastes or requirements, to visualize solutions, and to carry out symbolic and numerical analysis and optimization.

Non-Classical Problems in the Theory of Elastic Stability

Non-Classical Problems in the Theory of Elastic Stability PDF Author: Isaac Elishakoff
Publisher: Cambridge University Press
ISBN: 0521782104
Category : Mathematics
Languages : en
Pages : 354

Book Description
When a structure is put under an increasing compressive load, it becomes unstable and buckling occurs. Buckling is a particularly significant concern in designing shell structures such as aircraft, automobiles, ships, or bridges. This book discusses stability analysis and buckling problems and offers practical tools for dealing with uncertainties that exist in real systems. The techniques are based on two complementary theories which are developed in the text. First, the probabilistic theory of stability is presented, with particular emphasis on reliability. Both theoretical and computational issues are discussed. Secondly, the authors present the alternative to probability based on the notion of 'anti-optimization', a theory that is valid when the necessary information for probabilistic analysis is absent, that is, when only scant data are available. Design engineers, researchers, and graduate students in aerospace, mechanical, marine, and civil engineering who are concerned with issues of structural integrity will find this book a useful reference source.

Continuum Mechanics using Mathematica®

Continuum Mechanics using Mathematica® PDF Author: Antonio Romano
Publisher: Springer
ISBN: 1493916041
Category : Science
Languages : en
Pages : 489

Book Description
This textbook's methodological approach familiarizes readers with the mathematical tools required to correctly define and solve problems in continuum mechanics. Covering essential principles and fundamental applications, this second edition of Continuum Mechanics using Mathematica® provides a solid basis for a deeper study of more challenging and specialized problems related to nonlinear elasticity, polar continua, mixtures, piezoelectricity, ferroelectricity, magneto-fluid mechanics and state changes (see A. Romano, A. Marasco, Continuum Mechanics: Advanced Topics and Research Trends, Springer (Birkhäuser), 2010, ISBN 978-0-8176-4869-5). Key topics and features: * Concise presentation strikes a balance between fundamentals and applications * Requisite mathematical background carefully collected in two introductory chapters and one appendix * Recent developments highlighted through coverage of more significant applications to areas such as wave propagation, fluid mechanics, porous media, linear elasticity. This second edition expands the key topics and features to include: * Two new applications of fluid dynamics: meteorology and navigation * New exercises at the end of the existing chapters * The packages are rewritten for Mathematica 9 Continuum Mechanics using Mathematica®: Fundamentals, Applications and Scientific Computing is aimed at advanced undergraduates, graduate students and researchers in applied mathematics, mathematical physics and engineering. It may serve as a course textbook or self-study reference for anyone seeking a solid foundation in continuum mechanics.

Mathematical Theory of Elastic Structures

Mathematical Theory of Elastic Structures PDF Author: Kang Feng
Publisher: Springer Science & Business Media
ISBN: 3662032864
Category : Science
Languages : en
Pages : 407

Book Description
Elasticity theory is a classical discipline. The mathematical theory of elasticity in mechanics, especially the linearized theory, is quite mature, and is one of the foundations of several engineering sciences. In the last twenty years, there has been significant progress in several areas closely related to this classical field, this applies in particular to the following two areas. First, progress has been made in numerical methods, especially the development of the finite element method. The finite element method, which was independently created and developed in different ways by sci entists both in China and in the West, is a kind of systematic and modern numerical method for solving partial differential equations, especially el liptic equations. Experience has shown that the finite element method is efficient enough to solve problems in an extremely wide range of applica tions of elastic mechanics. In particular, the finite element method is very suitable for highly complicated problems. One of the authors (Feng) of this book had the good fortune to participate in the work of creating and establishing the theoretical basis of the finite element method. He thought in the early sixties that the method could be used to solve computational problems of solid mechanics by computers. Later practice justified and still continues to justify this point of view. The authors believe that it is now time to include the finite element method as an important part of the content of a textbook of modern elastic mechanics.

Micromechanics with Mathematica

Micromechanics with Mathematica PDF Author: Seiichi Nomura
Publisher: John Wiley & Sons
ISBN: 1118385691
Category : Science
Languages : en
Pages : 288

Book Description
Demonstrates the simplicity and effectiveness of Mathematica as the solution to practical problems in composite materials. Designed for those who need to learn how micromechanical approaches can help understand the behaviour of bodies with voids, inclusions, defects, this book is perfect for readers without a programming background. Thoroughly introducing the concept of micromechanics, it helps readers assess the deformation of solids at a localized level and analyse a body with microstructures. The author approaches this analysis using the computer algebra system Mathematica, which facilitates complex index manipulations and mathematical expressions accurately. The book begins by covering the general topics of continuum mechanics such as coordinate transformations, kinematics, stress, constitutive relationship and material symmetry. Mathematica programming is also introduced with accompanying examples. In the second half of the book, an analysis of heterogeneous materials with emphasis on composites is covered. Takes a practical approach by using Mathematica, one of the most popular programmes for symbolic computation Introduces the concept of micromechanics with worked-out examples using Mathematica code for ease of understanding Logically begins with the essentials of the topic, such as kinematics and stress, before moving to more advanced areas Applications covered include the basics of continuum mechanics, Eshelby's method, analytical and semi-analytical approaches for materials with inclusions (composites) in both infinite and finite matrix media and thermal stresses for a medium with inclusions, all with Mathematica examples Features a problem and solution section on the book’s companion website, useful for students new to the programme

A Treatise on the Mathematical Theory of Elasticity

A Treatise on the Mathematical Theory of Elasticity PDF Author: Augustus Edward Hough Love
Publisher:
ISBN:
Category : Elasticity
Languages : en
Pages : 654

Book Description


Mathematical Models of Beams and Cables

Mathematical Models of Beams and Cables PDF Author: Angelo Luongo
Publisher: John Wiley & Sons
ISBN: 1118577639
Category : Technology & Engineering
Languages : en
Pages : 266

Book Description
Nonlinear models of elastic and visco-elastic onedimensional continuous structures (beams and cables) are formulated by the authors of this title. Several models of increasing complexity are presented: straight/curved, planar/non-planar, extensible/inextensible, shearable/unshearable, warpingunsensitive/ sensitive, prestressed/unprestressed beams, both in statics and dynamics. Typical engineering problems are solved via perturbation and/or numerical approaches, such as bifurcation and stability under potential and/or tangential loads, parametric excitation, nonlinear dynamics and aeroelasticity. Contents 1. A One-Dimensional Beam Metamodel. 2. Straight Beams. 3. Curved Beams. 4. Internally Constrained Beams. 5. Flexible Cables. 6. Stiff Cables. 7. Locally-Deformable Thin-Walled Beams. 8. Distortion-Constrained Thin-Walled Beams.

Symposia Mathematica

Symposia Mathematica PDF Author: Sam Stuart
Publisher: Academic Press
ISBN: 1483258831
Category : Mathematics
Languages : en
Pages : 454

Book Description
Symposia Mathematica, Volume I focuses on research in the field of mathematics and its applications. This book discusses the definition of S-semigroup, extensions of R modules, structure of H, laws of conservation and equations of motion, and measures of strain. The basic equations for continua with internal rotations, general concepts of the discrete particle mechanics of matter, and implications of the first law of thermodynamics are also elaborated. This text likewise covers the homomorphism theorem, magneto-elastic interactions, transition from discrete particle mechanics to continuum mechanics, and passage to the continuum. This publication is suitable for mathematicians, specialists, and students interested in mathematical structures.