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Elastic Properties of Crystals

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Abstract

The objective of present day physics is to describe and explain the properties of solid materials, in particular of crystals, on the basis of their atomic structure. In this chapter we will not pursue this aim. The treatment of matter here will be confined to the continuum model. In this model a body consists of a compact continuous set of material points. The boundary of this set of points is called the surface of the body. Frequently it is convenient to consider a body as a material element cut out of the surrounding continuum. The surface then separates the body under consideration from its surroundings.

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References

  • Becker E, Bürger W (1975) Kontinuumsmechanik. Teubner, Stuttgart (in German)

    Google Scholar 

  • Eringen AC (1967) Mechanics of continua. Wiley, New York, NY

    Google Scholar 

  • Haupt P (2000) Continuum mechanics and theory of materials. Springer, Heidelberg

    Google Scholar 

  • Hearmon RFS (1957) Equations for transforming elastic and piezoelectric constants of crystals. Acta Crystallogr 10:121–124

    Google Scholar 

  • IEEE Standard on Piezoelectricity (ANSI-IEEE Std 176-1978) (1978) IEEE, New York, NY

    Google Scholar 

  • IEEE Standard on Piezoelectricity (ANSI-IEEE Std 176-1987) (1987) IEEE, New York, NY

    Google Scholar 

  • IRE Standards on Piezoelectric Crystals (1949) Proc. IRE 37(12):1378–1395

    Google Scholar 

  • Kittinger E, Tichý J, Bertagnolli E (1981) Example of a negative effective Poisson’s ratio. Phys Rev Lett 47:712

    Article  Google Scholar 

  • Lakes RS (1987) Foam structures with a negative Poisson’s ratio. Science 235:1038

    Article  CAS  Google Scholar 

  • Nye JF (1972) Physical properties of crystals, 6th edn. Clarendon Press, Oxford

    Google Scholar 

  • Petržílka V, Slavík JB, Šolc I, Taraba O, Tichý J, Zelenka J (1960) Piezoelectricity and its technical applications. (in Czech) Academia, Prague

    Google Scholar 

  • Truesdell C, Noll W (1965) The nonlinear field theories of mechanics. In: Flügge S (ed) Encyclopedia of physics, vol III/3. Springer, Heidelberg

    Google Scholar 

  • Truesdell C, Toupin RA (1960) The classical field theories. In: Flügge S (ed) Encyclopedia of physics, vol III/1. Springer, Heidelberg

    Google Scholar 

  • Wooster WA (1973) Tensors and group theory for the physical properties of crystals. Clarendon Press, Oxford

    Google Scholar 

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Tichý*, J., Erhart, J., Kittinger*, E., Přívratská, J. (2010). Elastic Properties of Crystals. In: Fundamentals of Piezoelectric Sensorics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-68427-5_3

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