Abstract
The mechanism of the thermomechanical instability of an elastically slowly strained solid is explored, by a normal mode analysis of temperature and strain fluctuations. The strain dependence of the Grüneisen parameter is found to play a major role, since it controls the rates of damping of the lowest wavevector acoustic excitations pumped by the imposed strain. For α-titanium the instability is found to occur at a critical strain comparable with that of the elastic limit. The instability can be envisaged in terms of a fast growing deformation, presumably associated with an acoustic emission.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Haken, H.: Synergetics. An Introduction. 2nd Ed. Berlin, Heidelberg, New York: Springer 1978
Riste, T.: Fluctuation, instabilities and phase transitions. New York, London: Plenum Press 1975
Thomas, H. In: Noice in physical systems. Wolf, D. (ed.), p. 278. Berlin, Heidelberg, New York: Springer 1978
Wallace, D.C.: Thermoelastic theory os stressed crystals and higher order elastic constants. In: Solid State Physics. Ehreinreich, H., Seitz, F., Turnball, D. (eds.), Vol. 25, p. 301. New York: Academic Press 1970
Wallace, D.C.: Thermodynamics of crystals. New York: Wiley 1972
Eringen, A.: Elastodynamics, 1-Finite Motions. New York: Academic Press 1974
Ossi, P.M., Bottani, C.E., Rossitto, F.: Determination of Grüneisen parameter by thermoelastic effect in anharmonic solids. J. Phys. C11, 4921 (1078)
Bottani, C.E., Caglioti, G., Ossi, P.M.: Grüneisen parameter: Measurement of the strain derivatives. Submitted for publication to J. Phys. F (1979)
Glansdorff, P., Prigogine, I.: Thermodynamic theory of structure stability and fluctuations. New York: Wiley 1971
Nabarro, F.R.N.: Theory of crystal dislocation. p. 520 ff. Oxford. Clarendon Press 1967
Caglioti, G.: An acoustic emission approach to fracture. In: International Conference on Fracture Mechanics and Technology, Hong Kong, March 21–25, 1977
Author information
Authors and Affiliations
Additional information
Gruppo Nazionale di Struttura della Materia del Consiglio Nazionale delle Ricerche, UR7
Rights and permissions
About this article
Cite this article
Boffi, S., Bottani, C.E., Caglioti, G. et al. Strain driven thermoelastic instability toward brittle fracture. Z. Physik B - Condensed Matter 39, 135–141 (1980). https://doi.org/10.1007/BF01301519
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01301519