Exact analytical solution of the internal friction associated with a geometric kink chain oscillating in an atmosphere of paraelastic interstitials and decorated by a dragging point defect

Date

1989-8-15

Author

Oğurtanı, Tarık Ömer

Metadata

Show full item record

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

Item Usage Stats

157
views

0
downloads

The partial differential equation which describes the geometric kink chain oscillating in an atmosphere of uniformly distributed paraelastic interstitials and, in addition, decorated by a dragging point defect at the midpoint, is solved exactly with use of the Laplace-transformation technique. The internal friction coefficient and the modulus defect are obtained in closed forms which indicate the existence of two separate peaks. The Cole-Cole diagrams are also investigated which show irrevocably the splitting of the original cold-work peak into two subpeaks with an increase of the drag strength of the decorating point defect

URI

https://hdl.handle.net/11511/52063

Journal

Physical Review B

DOI

https://doi.org/10.1103/physrevb.40.2873

Collections

Department of Metallurgical and Materials Engineering, Article

Suggestions

OpenMETU
Core

Mathematical modelling of decoration peak associated with dragging point defects situated selectively at the kink chain with special references to hydrogenated BCC and FCC metals Ogurtani, TO (1997-01-01) The set of nonlinear differential equations that describes the kink chain oscillating in an atmosphere of continuously distributed paraelastic or isotropic point defects and, in addition, decorated by a dragging point defect at the midpoint, is solved numerically after introducing a novel scaling and renormalization procedure. The internal friction coefficient obtained indicates the existence of two separate peaks, the decoration peak and the parent peak, which are directly related to the localized point de...
EXACT SPIN AND PSEUDO-SPIN SYMMETRIC SOLUTIONS OF THE DIRAC-KRATZER PROBLEM WITH A TENSOR POTENTIAL VIA LAPLACE TRANSFORM APPROACH Arda, Altug; Sever, Ramazan (2012-09-28) Exact bound state solutions of the Dirac equation for the Kratzer potential in the presence of a tensor potential are studied by using the Laplace transform approach for the cases of spin- and pseudo-spin symmetry. The energy spectrum is obtained in the closed form for the relativistic as well as non-relativistic cases including the Coulomb potential. It is seen that our analytical results are in agreement with the ones given in the literature. The numerical results are also given in a table for different p...
Efficient finite difference calculation of partial derivative seismic wavefield using reciprocity and convolution Sheen, Dong-hoon; Tuncay, Kağan; Baag, Chang-eob; Ortoleva, Peter J. (null; 2004-01-01) Seismic waveform inversion is commonly studied by the least-squares method which transforms the inverse problem to an iterative minization problem of residuals between the synthetic model response and observed data. One can solve this problem using the gradient method, the Gauss-Newton method or the full Newton method. The performance of the inverse method depends on the algorithm for calculating the partial derivative seismic wavefield due to perturbations in the subsurface. In this work, 2-D elastic stagg...
Efficient finite difference calculation of partial derivative seismic wavefield using reciprocity and convolution Sheen, Dong-Hoon; Tuncay, Kağan; Baag, Chang-Eob; Ortoleva, Peter J. (2004-01-01) Seismic waveform inversion is commonly studied by the least‐squares method which transforms the inverse problem to an iterative minization problem of residuals between the synthetic model response and observed data. One can solve this problem using the gradient method, the Gauss‐Newton method or the full Newton method. The performance of the inverse method depends on the algorithm for calculating the partial derivative seismic wavefield due to perturbations in the subsurface. In this work, 2‐D elastic stagg...
Pseudospin and spin symmetry in Dirac-Morse problem with a tensor potential AYDOĞDU, OKTAY; Sever, Ramazan (Elsevier BV, 2011-09-14) Under the conditions of the pseudospin and spin symmetry, approximate analytical solutions of the Dirac-Morse problem with Coulomb-like tensor potential are presented. The energy eigenvalue equations are found and corresponding radial wave functions are obtained in terms of confluent hypergeometric functions. The energy eigenvalues are calculated numerically in the absence and presence of the tensor potential. We also investigate the contribution of the potential parameters to the energy splitting of the ps...

Citation Formats

T. Ö. Oğurtanı, “Exact analytical solution of the internal friction associated with a geometric kink chain oscillating in an atmosphere of paraelastic interstitials and decorated by a dragging point defect,” Physical Review B, pp. 2873–2878, 1989, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/52063.