J. R. Barber

Elasticity (eBook, PDF)

• Format: PDF

Produktbeschreibung

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.

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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Produktdetails

• Verlag: Springer Netherlands
• Seitenzahl: 534
• Erscheinungstermin: 21. November 2009
• Englisch
• ISBN-13: 9789048138098
• Artikelnr.: 37411976

Autorenporträt

Jim Barber graduated in Mechanical Sciences from Cambridge University in 1963 and joined British Rail, who later sponsored his research at Cambridge between 1965 and 1968 on the subject of thermal effects in braking systems. In 1969 he became Lecturer and later Reader in Solid Mechanics at the University of Newcastle upon Tyne. In 1981 he moved to the University of Michigan, where he is presently Professor of Mechanical Engineering and Applied Mechanics. His current research interests are in solid mechanics with particular reference to thermoelasticity, contact mechanics and tribology. He is a chartered engineer in the U.K., Fellow of the Institution of Mechanical Engineers and has engaged extensively in consulting work in the field of stress analysis for engineering design.

Inhaltsangabe

I General Considerations.- 1 Introduction.- 2 Equilibrium and Compatibility.- II Two-Dimensional Problems.- 3 Plane Strain and Plane Stress.- 4 Stress Function Formulation.- 5 Problems in Rectangular Coördinates.- 6 End Effects.- 7 Body Forces.- 8 Problems in Polar Coördinates.- 9 Calculation of Displacements.- 10 Curved Beam Problems.- 11 Wedge Problems.- 12 Plane Contact Problems.- 13 Forces, Dislocations and Cracks.- 14 Thermoelasticity.- III Three Dimensional Problems.- 15 Displacement Function Solutions.- 16 The Boussinesq Potentials.- 17 Thermoelastic Displacement Potentials.- 18 Singular Solutions.- 19 Spherical Harmonics.- 20 Axisymmetric Problems.- 21 Frictionless Contact.- 22 The Boundary-Value Problem.- 23 The Penny-Shaped Crack.- 24 The Interface Crack.- 25 The Reciprocal Theorem.

Rezensionen

'...this book is a very good addition to the available literature on elasticity and can be used as a textbook for the first year graduate course on linear elasticity.' Applied Mechanics Reviews, 45:12 (1992)

'...this book is a very good addition to the available literature on elasticity and can be used as a textbook for the first year graduate course on linear elasticity.' Applied Mechanics Reviews, 45:12 (1992)

From the reviews of the second edition:

"The second edition includes new three chapters on antiplane stress systems, Saint-Venant torsion and bending and an expanded section on three-dimensional problems in spherical and cylindrical coordination systems ... . The topics covered are chosen with a view to modern research applications in fracture mechanics, composite materials, tribology and numerical methods. ... Most of the text should be readily intelligible to a reader with an undergraduate background of one or two courses in elementary mechanics of materials and a rudimentary knowledge of partial differentiation." (Vasily A. Chernecky, Zentralblatt MATH, Vol. 1068 (19), 2005)