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. Emphasis is placed on engineering applications of elasticity and examples are generally worked through to final expressions for the stress and displacement fields in order to explore the engineering consequences of the results.
SOLUTION MANUAL A solution manual is available, containing detailed solutions to all the problems, in some cases involving further discussion of the material and contour plots of the stresses etc. Bona fide instructors should contact me at jbarber@umich.edu if they need the manual and I will send it out as zipped.pdf files.
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.
This third edition includes new chapters on complex variable methods, variational methods and three-dimensional solutions for the prismatic bar. Other detailed changes have been made throughout the work, many suggested by users of earlier editions.
The new edition includes over 300 end-of-chapter problems, expressed wherever possible in the form they would arise in engineering - i.e. as a body of a given geometry subjected to prescribed loading - instead of inviting the student to 'verify' that a given candidate stress function is appropriate to the problem. Solution of these problems is considerably facilitated by the use of modern symbolic mathematical languages such as Maple and Mathematica. Electronic files and hints on this method of solution, as well as further supplementary software are available for download via the webpage for this volume on www.springer.com.
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- J.R.BARBER: ELASTICITY This web page relates to the second edition ISBN 1-4020-0964-X (Hardback) and 1-4020-0966-6 (Paperback). SOLUTION MANUAL A solution manual.
ME 321: Advanced Mechanics of Solids
Instructor: Anurag Gupta (ag@)
Schedule: MWF 8-9 am, L11
Teaching assistants: Ayan Roychowdhury (ayanrc@), Rajeev Kumar (rajek@), Bitanu Roy (bitanuro@)
Schedule for discussion session: F 6-7 pm, L11
Grading policy: Quizzes (6-8): 35%, Midterm: 25%, Final: 40%
Barber Elasticity Solution Manual Pdf
Texts
[1] Applied Mechanics of Solids by Allan Bower. The complete book is available at http://solidmechanics.org
[2] Mathematical Preliminaries: Lecture Notes on the Mechanics of Elastic Solids (Vol. 1), by R. Abeyaratne. This book is available online at http://web.mit.edu/abeyaratne/ElasticSolids-Vol.1-Math.pdf.
[3] Structures or Why Things Don’t Fall Down, by J. E. Gordon: This immensely entertaining book can be read like a novel without bothering about the dry technicalities of the subject. It successfully attempts at bringing both curiosity and personal experience to our interesting subject.
[4] Historical perspectives:
History of Strength of Materials, by S. Timoshenko
Rheology: An Historical Perspective, by R. I. Tanner and K. Walters
Essays in the History of Mechanics, by C. A. Truesdell
Linear theory of elasticity:
[5] The Linearized Theory of Elasticity, by W. S. Slaughter
[6] Theory of Elasticity, by A. I. Lurie
[7] Theory of Elasticity, by L. D. Landau and E. M. Lifshitz
[8] Elasticity, J. R. Barber