Generalized continuum with defects and asymmetric stresses

• Autorzy: Boratyński W. , Teisseyre R.
• Języki publikacji: EN

Abstrakty

EN

Consistent theory is presented of continuum with defect distribution: dislocation and disclination densities and the densities of rotation nuclei of two kinds. Special attention is paid to rotation and twist motions, and the two approaches to the definition of the twist-bend tensor are combined. The elastic and self fields of stresses and strains become asymmetric, while the total fields remain symmetric as required by the compatibility conditions. However, the tensor of incompatibility becomes asymmetric. The dislocation-stress relations and the equations of motion for symmetric and asymmetric parts of stresses are given and the wave equations for spin and twist are derived. Some applications are shortly discussed.

Słowa kluczowe

EN

asymmetric stresses; dislocations; disclinations; twist-bend tensors; micro-displacements; equations of motion; spin and twist waves

• Wydawca: Instytut Geofizyki PAN
• Czasopismo: Acta Geophysica Polonica
• Rocznik: 2004
• Tom: Vol. 52, nr 2
• Strony: 185--195
• Opis fizyczny: Bibliogr. 16 poz.

Twórcy

autor

Boratyński W.

• Institute of Geophysics, Polish Academy of Sciences, ul. Księcia Janusza 64, 01-452 Warszawa
• Faculty of Mathematics and information Science, Warsaw University of Technology, Plac Politechniki 1, 00-661 Warszawa, Poland

autor

Teisseyre R.

• Institute of Geophysics, Polish Academy of Sciences, ul. Księcia Janusza 64, 01-452 Warszawa

Bibliografia

• 1. Eringen, A.C., and E.S. Suhubi, 1964, Non-linear theory of simple micro-elastic solicls -1, Int. J. Engng. Sci. 2, 189-203.
• 2. Kossecka, E., and R. DeWitt, 1977, Disclination kinematics, Arch. Mech. 29, 633-651.
• 3. Kröner, E., 1982, Continuum theory of defects. In; R. Balian et al. (eds.), "Les Houches, Session XXXV, 1980, Physique des Defauts/Physics of Defects", North Holland Publ. Comp., Dordrecht.
• 4. Shimbo, M., 1975, A geometrical formulation of asymmetric features in plasticity, Bull. Fac. Eng., Hokkaido Univ. 77, 155-159 (in Japanese).
• 5. Shimbo, M., 1995, Non-Riemannian geometrical approach to deformation and friction. In: R. Teisseyre (ed.), 'Theory of Earthquake Premonitory and Fracture Processes",520-528, PWN, Warszawa.
• 6. Shimbo, M„ and M. Kawaguchi, 1976, A note on the asymmetric fields, Bull. Fac. Eng., Hokkaido Univ. 80, 75-79 (in Japanese).
• 7. Teisseyre, R., 2001, Evolution, propagation and diffusion of dislocation fields. In: R. Teisseyre and E. Majewski (eds.), "Earthquake Thermodynamics and Phase Transformations in the Earth's Interior" (vol. 76 of International Geophysical Series), 167-198, Academic Press, San Diego.
• 8. Teisseyre, R., 2002, Continuum with defect and self-rotation nuclei, Acta Geophys. Pol. 50, l, 51-68.
• 9. Teisseyre, R., and W. Boratyński, 2002, Continua with self-rotation nuclei: evolution of defect fields and equations of motion, Acta Geophys. Pol. 50, 2, 223-229.
• 10.Teisseyre, R., and W. Boratyński, 2003, Continua with self-rotation nuclei: evolution of asymmetric fields, Mech. Res. Com. 30, 235-240.
• 11. Teisseyre, R., and J. Kozak, 2003, Considerations on the seismic rotation waves, Acta Geophys. Pol. 51, 3, 244-256.
• 12. Teisseyre, R., and T. Yamashita, 1999, Splitting stress motion equation into seismic wave and fault-related fields, Acta Geophys. Pol. 47, 2, 135-147.
• 13. Teisseyre, R., J. Suchcicki, K.P. Teisseyre, J. Wiszniowski and P. Palangio, 2003a, Seismic rotation waves: basic elements of the theory and recording, Annals Geophys. 46, 671- 685.
• 14. Teisseyre, R., J. Suchcicki and K.P. Teisseyre, 2003b, Recording the seismic rotation waves: reliability analysis, Acta Geophys. Pol. 51, l, 37-50.
• 15. Teisseyre, R., K.P. Teisseyre, T. Moriya and P. Palangio, 2003c, Seismic rotation waves related to volcanic, mining and seismic events: near-field and micromorphic motions, Acta Geophys. Pol. 51, 4, 409-431.
• 16. Teodosiu, C., 1970, Description of elasto-viscoplastic properties of single crystals. In: "Viscoplasticity", Ossolineum, Wrocław.