---
_id: '9686'
abstract:
- lang: eng
  text: It is well known that ultrasonic vibration can soften metals, and this phenomenon
    has been widely exploited in industrial applications concerning metal forming
    and bonding. Recent experiments show that the simultaneous application of oscillatory
    stresses from audible to ultrasonic frequency ranges can lead to not only softening
    but also significant dislocation annihilation and subgrain formation in metal
    samples from the nano- to macro-size range. These findings indicate that the existing
    understanding of ultrasound softening – that the vibrations either impose additional
    stress waves to augment the quasi-static applied load, or cause heating of the
    metal, whereas the metal’s intrinsic deformation resistance or mechanism remains
    unaltered – is far from complete. To understand the softening and the associated
    enhanced subgrain formation and dislocation annihilation, a new simulator based
    on the dynamics of dislocation-density functions is employed. This new simulator
    considers the flux, production and annihilation, as well as the Taylor and elastic
    interactions between dislocation densities. Softening during vibrations as well
    as enhanced cell formation is predicted. The simulations reveal the main mechanism
    for subcell formation under oscillatory loadings to be the enhanced elimination
    of statistically stored dislocations (SSDs) by the oscillatory stress, leaving
    behind geometrically necessary dislocations with low Schmid factors which then
    form the subgrain walls. The oscillatory stress helps the depletion of the SSDs,
    because the chance for them to meet up and annihilate is increased with reversals
    of dislocation motions. This is the first simulation effort to successfully predict
    the cell formation phenomenon under vibratory loadings.
article_processing_charge: No
article_type: original
author:
- first_name: Bingqing
  full_name: Cheng, Bingqing
  id: cbe3cda4-d82c-11eb-8dc7-8ff94289fcc9
  last_name: Cheng
  orcid: 0000-0002-3584-9632
- first_name: H.S.
  full_name: Leung, H.S.
  last_name: Leung
- first_name: A.H.W.
  full_name: Ngan, A.H.W.
  last_name: Ngan
citation:
  ama: Cheng B, Leung HS, Ngan AHW. Strength of metals under vibrations – dislocation-density-function
    dynamics simulations. <i>Philosophical Magazine</i>. 2014;95(16-18):1845-1865.
    doi:<a href="https://doi.org/10.1080/14786435.2014.897008">10.1080/14786435.2014.897008</a>
  apa: Cheng, B., Leung, H. S., &#38; Ngan, A. H. W. (2014). Strength of metals under
    vibrations – dislocation-density-function dynamics simulations. <i>Philosophical
    Magazine</i>. Taylor &#38; Francis. <a href="https://doi.org/10.1080/14786435.2014.897008">https://doi.org/10.1080/14786435.2014.897008</a>
  chicago: Cheng, Bingqing, H.S. Leung, and A.H.W. Ngan. “Strength of Metals under
    Vibrations – Dislocation-Density-Function Dynamics Simulations.” <i>Philosophical
    Magazine</i>. Taylor &#38; Francis, 2014. <a href="https://doi.org/10.1080/14786435.2014.897008">https://doi.org/10.1080/14786435.2014.897008</a>.
  ieee: B. Cheng, H. S. Leung, and A. H. W. Ngan, “Strength of metals under vibrations
    – dislocation-density-function dynamics simulations,” <i>Philosophical Magazine</i>,
    vol. 95, no. 16–18. Taylor &#38; Francis, pp. 1845–1865, 2014.
  ista: Cheng B, Leung HS, Ngan AHW. 2014. Strength of metals under vibrations – dislocation-density-function
    dynamics simulations. Philosophical Magazine. 95(16–18), 1845–1865.
  mla: Cheng, Bingqing, et al. “Strength of Metals under Vibrations – Dislocation-Density-Function
    Dynamics Simulations.” <i>Philosophical Magazine</i>, vol. 95, no. 16–18, Taylor
    &#38; Francis, 2014, pp. 1845–65, doi:<a href="https://doi.org/10.1080/14786435.2014.897008">10.1080/14786435.2014.897008</a>.
  short: B. Cheng, H.S. Leung, A.H.W. Ngan, Philosophical Magazine 95 (2014) 1845–1865.
date_created: 2021-07-19T09:27:15Z
date_published: 2014-06-23T00:00:00Z
date_updated: 2023-02-23T14:04:59Z
day: '23'
doi: 10.1080/14786435.2014.897008
extern: '1'
intvolume: '        95'
issue: 16-18
language:
- iso: eng
month: '06'
oa_version: None
page: 1845-1865
publication: Philosophical Magazine
publication_identifier:
  eissn:
  - 1478-6443
  issn:
  - 1478-6435
publication_status: published
publisher: Taylor & Francis
quality_controlled: '1'
scopus_import: '1'
status: public
title: Strength of metals under vibrations – dislocation-density-function dynamics
  simulations
type: journal_article
user_id: 6785fbc1-c503-11eb-8a32-93094b40e1cf
volume: 95
year: '2014'
...
---
_id: '7080'
abstract:
- lang: eng
  text: We show evidence that a structural martensitic transition is related to significant
    changes in the electronic structure, as revealed in thermodynamic measurements
    made in high magnetic fields. The effect of the magnetic field is considered unusual
    as many influential investigations of martensitic transitions have emphasized
    that the structural transitions are primarily lattice dynamical and are driven
    by the entropy due to the phonons. We provide a theoretical framework, which can
    be used to describe the effect of the magnetic field on the lattice dynamics in
    which the field dependence originates from the dielectric constant.
article_processing_charge: No
article_type: original
author:
- first_name: X.-D.
  full_name: Yang, X.-D.
  last_name: Yang
- first_name: P.S.
  full_name: Riseborough, P.S.
  last_name: Riseborough
- first_name: Kimberly A
  full_name: Modic, Kimberly A
  id: 13C26AC0-EB69-11E9-87C6-5F3BE6697425
  last_name: Modic
  orcid: 0000-0001-9760-3147
- first_name: R.A.
  full_name: Fisher, R.A.
  last_name: Fisher
- first_name: C.P.
  full_name: Opeil, C.P.
  last_name: Opeil
- first_name: T.R.
  full_name: Finlayson, T.R.
  last_name: Finlayson
- first_name: J.C.
  full_name: Cooley, J.C.
  last_name: Cooley
- first_name: J.L.
  full_name: Smith, J.L.
  last_name: Smith
- first_name: P.A.
  full_name: Goddard, P.A.
  last_name: Goddard
- first_name: A.V.
  full_name: Silhanek, A.V.
  last_name: Silhanek
- first_name: J.C.
  full_name: Lashley, J.C.
  last_name: Lashley
citation:
  ama: Yang X-D, Riseborough PS, Modic KA, et al. Influence of magnetic fields on
    structural martensitic transitions. <i>Philosophical Magazine</i>. 2009;89(22-24):2083-2091.
    doi:<a href="https://doi.org/10.1080/14786430902865518">10.1080/14786430902865518</a>
  apa: Yang, X.-D., Riseborough, P. S., Modic, K. A., Fisher, R. A., Opeil, C. P.,
    Finlayson, T. R., … Lashley, J. C. (2009). Influence of magnetic fields on structural
    martensitic transitions. <i>Philosophical Magazine</i>. Taylor &#38; Francis.
    <a href="https://doi.org/10.1080/14786430902865518">https://doi.org/10.1080/14786430902865518</a>
  chicago: Yang, X.-D., P.S. Riseborough, Kimberly A Modic, R.A. Fisher, C.P. Opeil,
    T.R. Finlayson, J.C. Cooley, et al. “Influence of Magnetic Fields on Structural
    Martensitic Transitions.” <i>Philosophical Magazine</i>. Taylor &#38; Francis,
    2009. <a href="https://doi.org/10.1080/14786430902865518">https://doi.org/10.1080/14786430902865518</a>.
  ieee: X.-D. Yang <i>et al.</i>, “Influence of magnetic fields on structural martensitic
    transitions,” <i>Philosophical Magazine</i>, vol. 89, no. 22–24. Taylor &#38;
    Francis, pp. 2083–2091, 2009.
  ista: Yang X-D, Riseborough PS, Modic KA, Fisher RA, Opeil CP, Finlayson TR, Cooley
    JC, Smith JL, Goddard PA, Silhanek AV, Lashley JC. 2009. Influence of magnetic
    fields on structural martensitic transitions. Philosophical Magazine. 89(22–24),
    2083–2091.
  mla: Yang, X. D., et al. “Influence of Magnetic Fields on Structural Martensitic
    Transitions.” <i>Philosophical Magazine</i>, vol. 89, no. 22–24, Taylor &#38;
    Francis, 2009, pp. 2083–91, doi:<a href="https://doi.org/10.1080/14786430902865518">10.1080/14786430902865518</a>.
  short: X.-D. Yang, P.S. Riseborough, K.A. Modic, R.A. Fisher, C.P. Opeil, T.R. Finlayson,
    J.C. Cooley, J.L. Smith, P.A. Goddard, A.V. Silhanek, J.C. Lashley, Philosophical
    Magazine 89 (2009) 2083–2091.
date_created: 2019-11-19T13:48:32Z
date_published: 2009-08-21T00:00:00Z
date_updated: 2023-02-21T16:26:53Z
day: '21'
doi: 10.1080/14786430902865518
extern: '1'
intvolume: '        89'
issue: 22-24
language:
- iso: eng
month: '08'
oa_version: None
page: 2083-2091
publication: Philosophical Magazine
publication_identifier:
  eissn:
  - 1478-6443
  issn:
  - 1478-6435
publication_status: published
publisher: Taylor & Francis
quality_controlled: '1'
related_material:
  record:
  - id: '11752'
    relation: earlier_version
    status: public
status: public
title: Influence of magnetic fields on structural martensitic transitions
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 89
year: '2009'
...
