Department of Mechanical Engineering, University of Rochester

Instructor:
Professor John C. Lambropoulos, 275-4070, JCL@ME.ROCHESTER.EDU
Office hours: Tuesdays and Thursdays 11 am-noon, or by appointment.
 

Bibliography:
Elasticity is a well established subject, and many books have been written on diverse aspects of elasticity theory, ranging from nonlinear elasticity, to elastic defects, to mathematical methods, to elastic structures, to elastic waves. In our course, we will concentrate on the application of small-strain linear elasticity to the exact or approximate solution of many engineering problems.

S. P. Timoshenko & J. N. Goodier, 1970, Theory of elasticity, 3rd ed., McGraw-Hill. A classic textbook, using older notation, emphasizing practical solution of engineering problems.

I. S. Sokolnikoff, 1956, Mathematical theory of elasticity, McGraw-Hill. This is also a classic textbook, using extensively tensor notation, more emphasis on mathematical methods.

R. W. Little, 1973, Elasticity, Prentice Hall. A good book emphasizing series solutions, and 3-D problems, uses modern tensor notation. Many interesting problems.

A. P. Boresi and K. P. Chong, 1987, Elasticity in engineering mechanics, Elsevier. Solid textbook, good discussion of 2-D and 3-D problems.

A. H. England, 1971, Complex variable methods in elasticity, Wiley-Interscience. Good textbook for the application of complex variable methods to the solution of 2-D problems.

N. I. Muskhelishvili, 1975, Some basic problems of the mathematical theory of elasticity, Noordhoff International Publishing. A huge book, very detailed, the standard reference on the application of complex variable methods to elasticity problems. See Chapters 5-9.

A.K. Mal and S.J. Singh, 1991, Deformation of elastic solids, Prentice Hall. Good, modern textbook.

A. S. Saada, Elasticity: Theory & Applications, 2^nd ed., Krieger, 1993. Good, modern textbook, includes problems at end of chapter.
 

In addition to these, one can locate many other good specialized texts on elasticity, which are not on reserve only because of space limitations. Some examples:

B. A. Boley and J. H. Weiner, 1960, Theory of thermal stresses, John Wiley. The standard reference on thermal stresses in elastic and plastic solids.

G. L. M. Gladwell, 1980, Contact problems in the classical theory of elasticity, Sijthoff and Nordhoff. Emphasis on contact of elastic solids.

A. E. Green and W. Zerna, 1968, Theoretical elasticity, Oxford Univ. Press (also in Dover edition, 1992). If you can master the notation, the book is very well written. Heavy emphasis on mathematical approach. See especially Chapters 5, 6, 8

L. D. Landau and E. M. Lifshitz, 1986, Theory of elasticity, 3rd ed., Pergamon Press.

S. G. Lekhnitskii, 1963, Theory of elasticity of an anisotropic elastic body, Holden Day.

A. E. H. Love, 1944, The mathematical theory of elasticity, Dover Publications. Older notation, contains a wealth of solved difficult problems. A standard reference.

T. Mura, 1987, Micromechanics of defects in solids, 2nd ed. Martinus Nijhoff. Exclusive emphasis on the theory of defects in elastic solids, and on various applications of the Eshelby transforming inclusion problem and its many applications.

J. F. Nye, 1957, Physical properties of crystals, Oxford Univ. Press. Superb discussion of crystalline anisotropy effects for many material properties, including compliance and stiffness.

I. Sneddon, 1951, Fourier transforms, McGraw-Hill (Recently in Dover edition). Chapters 9, 10 discuss in detail the application of Fourier and Hankel transforms to elasticity solutions for indentation of half-planes and half-spaces.