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On thin inclusions in elastic bodies with defects. / Khludnev, A. M.

In: Zeitschrift fur Angewandte Mathematik und Physik, Vol. 70, No. 2, 45, 01.04.2019.

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

Harvard

Khludnev, AM 2019, 'On thin inclusions in elastic bodies with defects', Zeitschrift fur Angewandte Mathematik und Physik, vol. 70, no. 2, 45. https://doi.org/10.1007/s00033-019-1091-5

APA

Khludnev, A. M. (2019). On thin inclusions in elastic bodies with defects. Zeitschrift fur Angewandte Mathematik und Physik, 70(2), [45]. https://doi.org/10.1007/s00033-019-1091-5

Vancouver

Khludnev AM. On thin inclusions in elastic bodies with defects. Zeitschrift fur Angewandte Mathematik und Physik. 2019 Apr 1;70(2):45. doi: 10.1007/s00033-019-1091-5

Author

Khludnev, A. M. / On thin inclusions in elastic bodies with defects. In: Zeitschrift fur Angewandte Mathematik und Physik. 2019 ; Vol. 70, No. 2.

BibTeX

@article{9f570c2d693e452f8562c222478cdc15,
title = "On thin inclusions in elastic bodies with defects",
abstract = "An equilibrium problem for a 2D elastic body with thin inclusions and defects is analyzed. The presence of defects means that the problem is formulated in a non-smooth domain. The defects are characterized by a positive damage parameter. Nonlinear boundary conditions at the defect faces are imposed to prevent a mutual penetration between the faces. An existence of solutions is proved, and different formulations of the problem are proposed. We study an asymptotics of solutions with respect to the damage parameter and analyze the limit models. Moreover, we study the dependence of the solution on the rigidity parameter of the inclusions. In particular, passages to infinity and to zero of the rigidity parameter are investigated.",
keywords = "Crack, Damage parameter, Defect, Non-penetration boundary conditions, Thin inclusion, Variational inequality, SHAPE SENSITIVITY-ANALYSIS, CRACK, PLATE, JUNCTION",
author = "Khludnev, {A. M.}",
year = "2019",
month = apr,
day = "1",
doi = "10.1007/s00033-019-1091-5",
language = "English",
volume = "70",
journal = "Zeitschrift fur Angewandte Mathematik und Physik",
issn = "0044-2275",
publisher = "Birkhauser Verlag Basel",
number = "2",

}

RIS

TY - JOUR

T1 - On thin inclusions in elastic bodies with defects

AU - Khludnev, A. M.

PY - 2019/4/1

Y1 - 2019/4/1

N2 - An equilibrium problem for a 2D elastic body with thin inclusions and defects is analyzed. The presence of defects means that the problem is formulated in a non-smooth domain. The defects are characterized by a positive damage parameter. Nonlinear boundary conditions at the defect faces are imposed to prevent a mutual penetration between the faces. An existence of solutions is proved, and different formulations of the problem are proposed. We study an asymptotics of solutions with respect to the damage parameter and analyze the limit models. Moreover, we study the dependence of the solution on the rigidity parameter of the inclusions. In particular, passages to infinity and to zero of the rigidity parameter are investigated.

AB - An equilibrium problem for a 2D elastic body with thin inclusions and defects is analyzed. The presence of defects means that the problem is formulated in a non-smooth domain. The defects are characterized by a positive damage parameter. Nonlinear boundary conditions at the defect faces are imposed to prevent a mutual penetration between the faces. An existence of solutions is proved, and different formulations of the problem are proposed. We study an asymptotics of solutions with respect to the damage parameter and analyze the limit models. Moreover, we study the dependence of the solution on the rigidity parameter of the inclusions. In particular, passages to infinity and to zero of the rigidity parameter are investigated.

KW - Crack

KW - Damage parameter

KW - Defect

KW - Non-penetration boundary conditions

KW - Thin inclusion

KW - Variational inequality

KW - SHAPE SENSITIVITY-ANALYSIS

KW - CRACK

KW - PLATE

KW - JUNCTION

UR - http://www.scopus.com/inward/record.url?scp=85062784159&partnerID=8YFLogxK

U2 - 10.1007/s00033-019-1091-5

DO - 10.1007/s00033-019-1091-5

M3 - Article

AN - SCOPUS:85062784159

VL - 70

JO - Zeitschrift fur Angewandte Mathematik und Physik

JF - Zeitschrift fur Angewandte Mathematik und Physik

SN - 0044-2275

IS - 2

M1 - 45

ER -

ID: 18859989