Abstract
The previous chapter was concerned with the development of the basic equations governing the small elastic deformation of isotropic solids. Such considerations, though highly restrictive, nevertheless have wide application in engineering analysis. In fact, almost all construction materials exhibit linear elastic behavior for sufficiently small deformations, and a number of these materials can also be regarded as isotropic or nearly so. In the present chapter, we accordingly consider solutions of these basic elasticity equations in connection with certain illustrative problems.
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Selected Reading
Timoshenko, S., and J. N. Goodier, Theory of Elasticity. McGraw-Hill Book Co., New York, 1951. An excellent book on the application of linear elasticity to isotropic solids.
Long, R. R., Mechanics of Solids and Fluids. Prentice-Hall, Englewood Cliffs, New Jersey, 1961. Chapter 6 discusses problems in linear elasticity.
Kolsky, H., Stress Waves in Solids. Clarendon Press, Oxford, England, 1953. A readable treatment of elastic wave propagation in solids.
Fung, Y. C., Foundations of Solid Mechanics. Prentice-Hall, Englewood Cliffs, New Jersey, 1965. Elasticity solutions are discussed in Chapters 7–9.
Timoshenko, S., and S. Woinowsky-Krieger, Theory of Plates and Shells. McGraw-Hill Book Co., New York, 1959. Approximate strength-of-material equations governing the bending of plates and shells are derived and applied to a number of technically important problems.
Koiter, W. T., and J. G. Simmonds, “Foundations of Shell Theory,” Delft University of Technology, the Netherlands, 1972. Advanced discussion of shell theory presented at the 13th International Congress of Theoretical and Applied Mechanics, Moscow, 1972.
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© 1976 Plenum Prees, New York
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Dawson, T.H. (1976). Problems in Elasticity. In: Theory and Practice of Solid Mechanics. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-4277-9_5
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DOI: https://doi.org/10.1007/978-1-4613-4277-9_5
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-4279-3
Online ISBN: 978-1-4613-4277-9
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