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

Date

1997-01-01

Author

Ogurtani, TO

Metadata

Show full item record

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

Item Usage Stats

26
views

0
downloads

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 defect dragging and the smeared-out paraelastic or isotropic defect atmospheres, respectively. It is also shown by extensive experimental data analysis that this decoration theory, collaborating with the nonlinear theory of kink viscosity, results in an extremely accurate prediction of the effective activation enthalpy of dislocation relaxations, especially in the case of hydrogen (isotropic) Snoek-Koster peaks in plastically deformed bcc and fee metals. (C) 1997 by Elsevier Science Inc.

Subject Keywords

Internal friction, Dislocation damping, Snoek-Koster peaks, Computer simulation

URI

https://hdl.handle.net/11511/63818

Journal

APPLIED MATHEMATICAL MODELLING

DOI

https://doi.org/10.1016/s0307-904x(96)00119-9

Collections

Department of Metallurgical and Materials Engineering, Article

Suggestions

OpenMETU
Core

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 Oğurtanı, Tarık Ömer (American Physical Society (APS), 1989-8-15) 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 splitti...
Interactive computer simulation of dislocation damping spectra associated with the coupled motion of geometric kinks and point defects subjected to the bulk segregation phenomenon Ogurtani, TO; Gungor, MR; Oren, EE (Trans Tech Publications, Ltd.; 2003-01-01) The set of non-linear differential equations which describes the kink chain oscillating in an atmosphere of continuously distributed paraelastic (interstitials) or isotropic defects and, in addition, decorated by a dragging point defect at the midpoint, is solved numerically after introducing a novel scaling and re-normalization 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 selec...
Measurement of differential cross sections for the production of a pair of isolated photons in pp collisions at root s=7TeV Chatrchyan, S.; et. al. (Springer Science and Business Media LLC, 2014-11-01) A measurement of differential cross sections for the production of a pair of isolated photons in proton-proton collisions at root s = 7 TeV is presented. The data sample corresponds to an integrated luminosity of 5.0 fb(-1) collected with the CMS detector. A data-driven isolation template method is used to extract the prompt diphoton yield. The measured cross section for two isolated photons, with transverse energy above 40 and 25 GeV respectively, in the pseudorapidity range vertical bar eta vertical bar ...
Annulus criteria for mixed nonlinear elliptic differential equations ŞAHİNER, YETER; Zafer, Ağacık (Elsevier BV, 2011-05-01) New oscillation criteria are obtained for forced second order elliptic partial differential equations with damping and mixed nonlinearities of the form
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...

Citation Formats

T. Ogurtani, “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,” APPLIED MATHEMATICAL MODELLING, pp. 26–41, 1997, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/63818.