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Elastostatics

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Very Slow Flows of Solids

Part of the book series: Mechanics of Fluids and Transport Processes ((MFTP,volume 7))

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Abstract

Although this book deals only with flow, the basics of elasticity have to be introduced because:

  • in Newtonian viscous flow, analytical solutions are often deduced from their already known elastic counterparts;

  • elasticity is a component of elasto-plasticity and visco-elasticity, that in many cases have to be introduced for setting up realistic models.

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References

  1. A. E. H. Love: A treatise on the mathematical theory of elasticity, Cambridge Univ. Press, Cambridge (1927). 4th edition: Dover Publ., New York (1944).

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  4. Y. C. Fung: Foundations of solid mechanics, Prentice Hall, Englewood Cliffs, N.J. (1965).

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  5. L. Landau and E. Lifchitz: Théorie de l’élasticité (French translation from Russian), Editions Mir, Moscow (1967).

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  6. S. Timoshenko and J. N. Goodier: Theory of elasticity, McGraw Hill, New York (1970).

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  7. G. R. Irwin: Fracture. In: Handbuch der Physik (S. Flügge, ed.) Vol. 6, Springer Verlag, Berlin (1958) pp. 551–590.

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  8. B. R. Lawn and T. R. Wilshaw: Fracture of brittle solids, Cambridge Univ. Press, London (1975).

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  9. H. Liebowitz, ed.: Fracture, Academic Press, New York (1968).

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  10. N. Perrone, H. Liebowitz, D. Melville and W. Pilkey, eds.: Fracture mechanics, Univ. Press of Virginia, Charlottesville (1978).

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© 1987 Martinus Nijhoff Publishers, Dordrecht

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Lliboutry, L.A. (1987). Elastostatics. In: Very Slow Flows of Solids. Mechanics of Fluids and Transport Processes, vol 7. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-3563-1_11

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  • DOI: https://doi.org/10.1007/978-94-009-3563-1_11

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-8094-1

  • Online ISBN: 978-94-009-3563-1

  • eBook Packages: Springer Book Archive

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