Release-Rebound Processes : Vector Motions

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

Abstrakty

EN

The tensor relations describing the shear deviatoric strains and rotation strains may be presented as vector relations in a special coordinate system, e.g., in the diagonal or off-diagonal one. However, these fields can be also presented in the 4D invariant forms by means of invariant Dirac tensors. We present 4D relativistic relations for the invariant shear deviatoric strain and rotation strain vectors closely related to a fracture process in solids and to the molecular strains (shear and rotational) in fluids. These shear and rotation strains may interact with the radial derivatives of pressure along the propagation directions.

Słowa kluczowe

PL

uwalnianie odbicia; tensor Diraca; wektor; odkształcenie; pęknięcie

EN

release-rebound; Dirac tensors; strain vectors; fracture relations

• Czasopismo: Acta Geophysica
• Rocznik: 2015
• Tom: Vol. 63, no. 2
• Strony: 374--384
• Opis fizyczny: Bibliogr. 9 poz., rys.

Twórcy

autor

Teisseyre, R.

• Institute of Geophysics, Polish Academy of Sciences, Warszawa, Poland,

Bibliografia

• [1] Eshelby, J.D., F.C. Frank, and F.R.N. Nabarro (1951), The equilibrium of linear arrays of dislocations, Philos. Mag. Ser. 7 42, 327, 351-364, DOI: 10.1080/14786445108561060.
• [2] Kossecka, E., and R. DeWitt (1977), Disclination kinematic, Arch. Mech. 29, 633-651.
• [3] Majewski, E., and R. Teisseyre (2013), Thermodynamics with rotation motions: fragmentation and slip, Acta Geophys. 61, 2, 281-310, DOI: 10.2478/s11600-012-0072-2.
• [4] Rybicki, K. (1986), Dislocations and their geophysical applications. In: R. Teisseyre (ed.), Continuum Theories in Solid Earth Physics, Elsevier–PWN, Warszawa, 18-186.
• [5] Teisseyre, R. (1985), Creep-flow and earthquake rebound: System of the internal stress evolution, Acta Geophys. Pol. 33, 1, 11-23.
• [6] Teisseyre, R. (2011), Why rotation seismology: Confrontation between classic and asymmetric theories, Bull. Seismol. Soc. Am. 101, 4, 1683-1691, DOI:10.1785/0120100078.
• [7] Teisseyre, R. (2013), Molecular transport in fracture processes, Acta Geophys. 61, 1, 18-25, DOI: 10.2478/s11600-012-0057-1.
• [8] Teisseyre, R., and M. Górski (2012), Induced strains and defect continuum theory: Internal reorganization of load, Acta Geophys. 60, 1, 24-42, DOI:10.2478/s11600-011-0046-9.
• [9] Varotsos, P.A. (2007), Comparison of models that interconnect point defect parameters in solids with bulk properties, J. Appl. Phys. 101, 12, 123503, DOI:10.1063/1.2745359.

Identyfikatory

DOI

10.2478/s11600-014-0216-7