NONLINEAR-THEORY OF THE POWER DISSIPATION DUE TO THE MOTION OF HEAVY INTERSTITIALS IN OSCILLATING INHOMOGENEOUS FIELDS WITH STRONG STATIC BIAS

Date

1987-12-01

Author

OGURTANI, TO
SEEGER, A

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

53
views

0
downloads

The atomic movements of heavy interstitials (located in octahedral interstices in a body-centred cubic lattice) in arbitrary time-dependent and inhomogeneous field with a strong static bias are described by a system of nonlinear autonomous first-order differential equations. The linearized form of these equations in the vicinity of the thermodynamic equilibrium state is solved exactly, using the discrete Fourier k-space transform supplemented by a Laplace transform with respect to time. The power dissipation associated with the hopping motion of the interstitial atoms in the presence of either a simple harmonic vibration or of propagating acoustic waves is determined. The implications of the nonlinear theory for the effective activation enthalpy of the Snoek-Köster relaxation are worked out for the limiting case of localized or delocalized interactions between the interstitials and dislocations.

URI

https://hdl.handle.net/11511/66059

Journal

JOURNAL DE PHYSIQUE

Collections

Department of Metallurgical and Materials Engineering, Article

Suggestions

OpenMETU
Core

NONLINEAR-THEORY OF POWER DISSIPATION DUE TO THE MOTION OF HEAVY INTERSTITIALS IN A FLUCTUATING INHOMOGENEOUS FIELD WITH A STRONG BIAS - SPECIAL REFERENCE TO THE SNOEK-KOSTER RELAXATION OGURTANI, TO; SEEGER, AK (1987-08-01) Atomic movements of heavy interstitials (octahedral sites) in an arbitrary time‐dependent and inhomogeneous field with a strong static bias have been described by a system of nonlinear autonomous first‐order differential equations for a body‐centered‐cubic lattice. The linearized form of these equations in the vicinity of the thermodynamic equilibrium state (equilibrium with respect to the strong and inhomogeneous static bias field) has been solved exactly, using the discrete Fourier k‐space transform suppl...
Nonlinear flutter calculations using finite elements in a direct Eulerian-Lagrangian formulation Seber, Guclu; Bendiksen, Oddvar O. (American Institute of Aeronautics and Astronautics (AIAA), 2008-06-01) A fully nonlinear aeroelastic formulation of the direct Eulerian-Lagrangian computational scheme is presented in which both structural and aerodynamic nonlinearities are treated without approximations. The method is direct in the sense that the calculations are done at the finite element level, both in the fluid and structural domains, and the fluid-structure system is time-marched as a single dynamic system using a multistage Runge-Kutta scheme. The exact nonlinear boundary condition at the fluid-structure...
FORCED HARMONIC RESPONSE ANALYSIS OF NONLINEAR STRUCTURES USING DESCRIBING FUNCTIONS TANRIKULU, O; KURAN, B; Özgüven, Hasan Nevzat; IMREGUN, M (1993-07-01) The dynamic response of multiple-degree-of-freedom nonlinear structures is usually determined by numerical integration of the equations of motion, an approach which is computationally very expensive for steady-state response analysis of large structures. In this paper, an alternative semianalytical quasilinear method based on the describing function formulation is proposed for the harmonic response analysis of structures with symmetrical nonlinearities. The equations of motion are converted to a set of nonl...
Void intergranual motion under the action of electromigration forces in thin film interconnects with bamboo structure Oren, EE; Ogurtani, TO (2001-11-30) The rigorous formulation of the internal entropy production, and the generalized forces and conjugate fluxes associated with the virtual displacement of a triple junction are presented in multi-component systems. Extensive computer simulations are performed on the void configurational evolution during the intergranual motion; under the actions of capillary and electromigration forces in thin film metallic interconnects with bamboo structure having various grain textures, The texture studies in this work sho...
Dynamics of numerical methods for cosymmetric ordinary differential equations Govorukhin, VN; Tsybulin, VG; Karasözen, Bülent (2001-09-01) The dynamics of numerical approximation of cosymmetric ordinary differential equations with a continuous family of equilibria is investigated. Nonconservative and Hamiltonian model systems in two dimensions are considered and these systems are integrated with several first-order Runge-Kutta methods. The preservation of symmetry and cosymmetry, the stability of equilibrium points, spurious solutions and transition to chaos are investigated by presenting analytical and numerical results. The overall performan...

Citation Formats

T. OGURTANI and A. SEEGER, “NONLINEAR-THEORY OF THE POWER DISSIPATION DUE TO THE MOTION OF HEAVY INTERSTITIALS IN OSCILLATING INHOMOGENEOUS FIELDS WITH STRONG STATIC BIAS,” JOURNAL DE PHYSIQUE, pp. 167–172, 1987, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/66059.