Theory of Elasticity for Scientists and Engineers

Theory of Elasticity for Scientists and Engineers
Author: Teodor M. Atanackovic
Publisher: Springer Science & Business Media
Total Pages: 378
Release: 2012-12-06
Genre: Technology & Engineering
ISBN: 1461213304

This book is intended to be an introduction to elasticity theory. It is as sumed that the student, before reading this book, has had courses in me chanics (statics, dynamics) and strength of materials (mechanics of mate rials). It is written at a level for undergraduate and beginning graduate engineering students in mechanical, civil, or aerospace engineering. As a background in mathematics, readers are expected to have had courses in ad vanced calculus, linear algebra, and differential equations. Our experience in teaching elasticity theory to engineering students leads us to believe that the course must be problem-solving oriented. We believe that formulation and solution of the problems is at the heart of elasticity theory. 1 Of course orientation to problem-solving philosophy does not exclude the need to study fundamentals. By fundamentals we mean both mechanical concepts such as stress, deformation and strain, compatibility conditions, constitu tive relations, energy of deformation, and mathematical methods, such as partial differential equations, complex variable and variational methods, and numerical techniques. We are aware of many excellent books on elasticity, some of which are listed in the References. If we are to state what differentiates our book from other similar texts we could, besides the already stated problem-solving ori entation, list the following: study of deformations that are not necessarily small, selection of problems that we treat, and the use of Cartesian tensors only.

Nonlinear Problems of Elasticity

Nonlinear Problems of Elasticity
Author: Stuart Antman
Publisher: Springer Science & Business Media
Total Pages: 762
Release: 2013-03-14
Genre: Mathematics
ISBN: 1475741472

The scientists of the seventeenth and eighteenth centuries, led by Jas. Bernoulli and Euler, created a coherent theory of the mechanics of strings and rods undergoing planar deformations. They introduced the basic con cepts of strain, both extensional and flexural, of contact force with its com ponents of tension and shear force, and of contact couple. They extended Newton's Law of Motion for a mass point to a law valid for any deformable body. Euler formulated its independent and much subtler complement, the Angular Momentum Principle. (Euler also gave effective variational characterizations of the governing equations. ) These scientists breathed life into the theory by proposing, formulating, and solving the problems of the suspension bridge, the catenary, the velaria, the elastica, and the small transverse vibrations of an elastic string. (The level of difficulty of some of these problems is such that even today their descriptions are sel dom vouchsafed to undergraduates. The realization that such profound and beautiful results could be deduced by mathematical reasoning from fundamental physical principles furnished a significant contribution to the intellectual climate of the Age of Reason. ) At first, those who solved these problems did not distinguish between linear and nonlinear equations, and so were not intimidated by the latter. By the middle of the nineteenth century, Cauchy had constructed the basic framework of three-dimensional continuum mechanics on the founda tions built by his eighteenth-century predecessors.

Theory of Elasticity and Thermal Stresses

Theory of Elasticity and Thermal Stresses
Author: M. Reza Eslami
Publisher: Springer Science & Business Media
Total Pages: 787
Release: 2013-05-13
Genre: Science
ISBN: 9400763565

This book contains the elements of the theory and the problems of Elasticity and Thermal Stresses with full solutions. The emphasis is placed on problems and solutions and the book consists of four parts: one part is on The Mathematical Theory of Elasticity, two parts are on Thermal Stresses and one part is on Numerical Methods. The book is addressed to higher level undergraduate students, graduate students and engineers and it is an indispensable companion to all who study any of the books published earlier by the authors. This book links the three previously published books by the authors into one comprehensive entity.

Elasticity

Elasticity
Author: Martin H. Sadd
Publisher: Elsevier
Total Pages: 474
Release: 2010-08-04
Genre: Technology & Engineering
ISBN: 008047747X

Although there are several books in print dealing with elasticity, many focus on specialized topics such as mathematical foundations, anisotropic materials, two-dimensional problems, thermoelasticity, non-linear theory, etc. As such they are not appropriate candidates for a general textbook. This book provides a concise and organized presentation and development of general theory of elasticity. This text is an excellent book teaching guide. - Contains exercises for student engagement as well as the integration and use of MATLAB Software - Provides development of common solution methodologies and a systematic review of analytical solutions useful in applications of

Nonlinear Theory of Elasticity

Nonlinear Theory of Elasticity
Author: Larry Alan Taber
Publisher: World Scientific
Total Pages: 417
Release: 2004
Genre: Science
ISBN: 9812387358

Soft biological tissues often undergo large (nearly) elastic deformations that can be analyzed using the nonlinear theory of elasticity. Because of the varied approaches to nonlinear elasticity in the literature, some aspects of the subject may be difficult to appreciate. This book attempts to clarify and unify those treatments, illustrating the advantages and disadvantages of each through various examples in the mechanics of soft tissues. Applications include muscle, arteries, the heart, and embryonic tissues.

Elasticity in Engineering Mechanics

Elasticity in Engineering Mechanics
Author: Arthur P. Boresi
Publisher: John Wiley & Sons
Total Pages: 531
Release: 2010-12-01
Genre: Science
ISBN: 0470880384

Elasticity in Engineering Mechanics has been prized by many aspiring and practicing engineers as an easy-to-navigate guide to an area of engineering science that is fundamental to aeronautical, civil, and mechanical engineering, and to other branches of engineering. With its focus not only on elasticity theory, including nano- and biomechanics, but also on concrete applications in real engineering situations, this acclaimed work is a core text in a spectrum of courses at both the undergraduate and graduate levels, and a superior reference for engineering professionals.

Elasticity in Engineering Mechanics

Elasticity in Engineering Mechanics
Author: Arthur P. Boresi
Publisher: John Wiley & Sons
Total Pages: 640
Release: 2000
Genre: Science
ISBN: 9780471316145

"Arthur Boresi and Ken Chong's Elasticity in Engineering Mechanics has been prized by many aspiring and practicing engineers as an easy-to-navigate guide to an area of engineering science that is fundamental to aeronautical, civil, and mechanical engineering, and to other branches of engineering. With its focus not only on elasticity theory but also on concrete applications in real engineering situations, this work is a core text in a spectrum of courses at both the undergraduate and graduate levels, and a superior reference for engineering professionals."--BOOK JACKET.

Theoretical Elasticity

Theoretical Elasticity
Author: Albert Edward Green
Publisher: Courier Corporation
Total Pages: 482
Release: 1992-01-01
Genre: Technology & Engineering
ISBN: 0486670767

A valuable research tool in continuum mechanics for more that 50 years, this highly regarded engineering manual focuses on three important aspects of elasticity theory: finite elastic deformations, complex variable methods for two-dimensional problems for both isotropic and aeolotropic bodies, and shell theory. Additional topics include three-dimensional problems for isotropic and transversely isotropic bodies.

Theory of Elasticity

Theory of Elasticity
Author: L D Landau
Publisher: Elsevier
Total Pages: 196
Release: 2012-12-02
Genre: Science
ISBN: 0080570690

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.

Applied Mechanics of Solids

Applied Mechanics of Solids
Author: Allan F. Bower
Publisher: CRC Press
Total Pages: 820
Release: 2009-10-05
Genre: Science
ISBN: 1439802483

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