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Internal Stress and Point Defects

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Part of the book series: Springer Series in Solid-State Sciences ((SSSOL,volume 44))

Abstract

Vacancies, interstitial atoms and dislocations are well known examples of crystal lattice defects which are sources of internal stress. In this chapter we give a general outline of the theory of internal stress in nonlocal elasticity. Point defects, which are sources of internal stress as well as inhomogeneities, are considered in detail.

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References

  1. E. Kröner: Kontinuumstheorie der Versetzungen und Eigenspannungen, (Springer, Berlin, Göttingen, Heidelberg 1958 )

    Google Scholar 

  2. B.A. Bilby: “Geometry and continuum mechanics”, in [Ref. B. 2.1, pp. 180–199]

    Google Scholar 

  3. E. Kröner: Allgemeine Kontinuumstheorie der Versetzungen und Eigenspannungen, Arch. Rat. Mech. Anal. 4, 273–334 (1960)

    Article  MATH  Google Scholar 

  4. I.A. Kunin: “Methods of tensor analysis in the theory of dislocations”. A supplement to the Russian translation of J.A. Schouten: Tensor Analysis for Physicists (Nauka, Moscow 1965 ), pp. 374–443. (The supplement is available in English from the U.S. Department of Commerce, Clearing house for Federal Sci. and Techn. Information, Springfield, VA 22151 )

    Google Scholar 

  5. RAAG Memoirs of the Unifying Study of Basic Problems in Engineering and Physical Sciences by Means of Geometry,ed. by K. Kondo (Gakujutsu Bunken Fukyu-Kai, Tokyo, V.I. 1955, V. II 1958; V. III 1962, V. IV 1968)

    Google Scholar 

  6. C.C. Wang: “On the geometric structure of simple bodies, a mathematical foundation for the theories of continuous distributions of dislocations”, in [Ref. B2.1, pp. 247–250]

    Google Scholar 

  7. R. de Wit: “Differential geometry of a nonlinear continuum theory of dislocations”, in [Ref. B2.1, pp. 251–261]

    Google Scholar 

  8. I.A. Kunin: Internal stresses in media with microstructure. J. Appl. Math. Mech. 31, 898–906 (1967)

    Article  Google Scholar 

  9. I.A. Kunin: An algebra of tensor operators and its applications to elasticity. Int. J. Eng. Sci., 19, 1551–1561 (1981)

    Article  MATH  MathSciNet  Google Scholar 

  10. A.I. Lur’e: Three-dimensional Problems of the Theory of Elasticity ( Interscience, New York 1964 )

    MATH  Google Scholar 

  11. I.M. Lifshits, L.V. Tanatarov: On the elastic interaction of impurity atoms in crystals. J. Phys. of Metals and Metallography 12, 331–338 (1961)

    Google Scholar 

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© 1983 Springer-Verlag Berlin Heidelberg

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Kunin, I.A. (1983). Internal Stress and Point Defects. In: Elastic Media with Microstructure II. Springer Series in Solid-State Sciences, vol 44. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-81960-5_5

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  • DOI: https://doi.org/10.1007/978-3-642-81960-5_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-81962-9

  • Online ISBN: 978-3-642-81960-5

  • eBook Packages: Springer Book Archive

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