Multi-scale model of steady-wave shock in medium with relaxation

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Multi-scale model of steady-wave shock in medium with relaxation. / Indeitsev, D. A.; Meshcheryakov, Yu I.; Kuchmin, A. Yu; Vavilov, D. S.

In: Acta Mechanica, Vol. 226, No. 3, 03.2015, p. 917-930.

Research output: Contribution to journal › Article › peer-review

Author

Indeitsev, D. A. ; Meshcheryakov, Yu I. ; Kuchmin, A. Yu ; Vavilov, D. S. / Multi-scale model of steady-wave shock in medium with relaxation. In: Acta Mechanica. 2015 ; Vol. 226, No. 3. pp. 917-930.

BibTeX

@article{b1ad34082a1a4a1caa33c01c8476cf5e,

title = "Multi-scale model of steady-wave shock in medium with relaxation",

abstract = "The propagation of a steady wavefront in a medium with three levels of plastic deformation is considered: (a) dislocation, (b) meso-scale and (c) macro-scale. To take into account collective mechanisms of microplasticity, a relaxation term describing the momentum exchange between meso- and macro scales is incorporated into a dislocation-based constitutive law. This leads to a nonlinear second-order differential equation. Analytical and numerical analyses of the equation are performed. Using as example D16 aluminum alloy, we determine the parameters that provide a satisfactory correspondence between calculated and experimental profiles of particle velocity.",

author = "Indeitsev, {D. A.} and Meshcheryakov, {Yu I.} and Kuchmin, {A. Yu} and Vavilov, {D. S.}",

year = "2015",

month = mar,

doi = "10.1007/s00707-014-1231-0",

language = "English",

volume = "226",

pages = "917--930",

journal = "Acta Mechanica",

issn = "0001-5970",

publisher = "Springer Nature",

number = "3",

}

RIS

TY - JOUR

T1 - Multi-scale model of steady-wave shock in medium with relaxation

AU - Indeitsev, D. A.

AU - Meshcheryakov, Yu I.

AU - Kuchmin, A. Yu

AU - Vavilov, D. S.

PY - 2015/3

Y1 - 2015/3

N2 - The propagation of a steady wavefront in a medium with three levels of plastic deformation is considered: (a) dislocation, (b) meso-scale and (c) macro-scale. To take into account collective mechanisms of microplasticity, a relaxation term describing the momentum exchange between meso- and macro scales is incorporated into a dislocation-based constitutive law. This leads to a nonlinear second-order differential equation. Analytical and numerical analyses of the equation are performed. Using as example D16 aluminum alloy, we determine the parameters that provide a satisfactory correspondence between calculated and experimental profiles of particle velocity.

AB - The propagation of a steady wavefront in a medium with three levels of plastic deformation is considered: (a) dislocation, (b) meso-scale and (c) macro-scale. To take into account collective mechanisms of microplasticity, a relaxation term describing the momentum exchange between meso- and macro scales is incorporated into a dislocation-based constitutive law. This leads to a nonlinear second-order differential equation. Analytical and numerical analyses of the equation are performed. Using as example D16 aluminum alloy, we determine the parameters that provide a satisfactory correspondence between calculated and experimental profiles of particle velocity.

UR - http://www.scopus.com/inward/record.url?scp=85028132567&partnerID=8YFLogxK

U2 - 10.1007/s00707-014-1231-0

DO - 10.1007/s00707-014-1231-0

M3 - Article

AN - SCOPUS:85028132567

VL - 226

SP - 917

EP - 930

JO - Acta Mechanica

JF - Acta Mechanica

SN - 0001-5970

IS - 3

ER -

ID: 75070287