On Antiplane Deformations of an Elastic Material with Rigid Fibers Considering Surface Energy and Nonperfect Contact

Daria Andreeva; Wiktoria Miszuris; Gennady Mishuris; Victor A. Eremeyev

doi:10.1615/NanoSciTechnolIntJ.2018029070

On Antiplane Deformations of an Elastic Material with Rigid Fibers Considering Surface Energy and Nonperfect Contact

Daria Andreeva, Wiktoria Miszuris, Gennady Mishuris, Victor A. Eremeyev

Department of Mathematics

Gdansk University of Technology

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Abstract

Within the linear Gurtin–Murdoch model of surface elasticity we consider the antiplane deformations in an elastic matrix with a rigid cylindrical fiber influenced by external force. The influence of the surface elastic moduli on the stress distribution and adhesion force is analyzed.

Original language	English
Pages (from-to)	79-87
Number of pages	9
Journal	Nanoscience and Technology: An International Journal
Volume	10
Issue number	1
DOIs	https://doi.org/10.1615/NanoSciTechnolIntJ.2018029070
Publication status	Published - 15 Jun 2019

Keywords

surface elasticity
Gurtin-Murdoch model
antiplane deformation
nonperfect contact
adhesion
Nonperfect contact
Gurtin
Murdoch model
Surface elasticity
Adhesion
Antiplane deformation

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10.1615/NanoSciTechnolIntJ.2018029070

On Antiplant Deformations of an Elastic Material with Rigid Fibers Considering Surface Energy and Non-Perfect ContactAccepted author manuscript, 304 KB

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title = "On Antiplane Deformations of an Elastic Material with Rigid Fibers Considering Surface Energy and Nonperfect Contact",

abstract = "Within the linear Gurtin–Murdoch model of surface elasticity we consider the antiplane deformations in an elastic matrix with a rigid cylindrical fiber influenced by external force. The influence of the surface elastic moduli on the stress distribution and adhesion force is analyzed.",

keywords = "surface elasticity, Gurtin-Murdoch model, antiplane deformation, nonperfect contact, adhesion, Nonperfect contact, Gurtin, Murdoch model, Surface elasticity, Adhesion, Antiplane deformation",

author = "Daria Andreeva and Wiktoria Miszuris and Gennady Mishuris and Eremeyev, {Victor A.}",

note = "Funding Information: The authors gratefully acknowledge support from the European Union{\textquoteright}s Seventh Framework Programme FP7/2007-2013/ under REA Grant agreement IRSES-GA-2013-610547-TAMER. GM gratefully acknowledges support from the ERC Advanced Grant “Instabilities and nonlocal multiscale modeling of materials” ERC-2013-ADG-340561-INSTABILITIES and is thankful for a support from the Ministry of Education and Science of the Russian Federation (Project No. 14.Z50.31.0036 awarded to R.E. Alekseev Nizhny Novgorod Technical University during his short visit there). Publisher Copyright: {\textcopyright} 2019 by Begell House, Inc.",

year = "2019",

month = jun,

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doi = "10.1615/NanoSciTechnolIntJ.2018029070",

language = "English",

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T1 - On Antiplane Deformations of an Elastic Material with Rigid Fibers Considering Surface Energy and Nonperfect Contact

AU - Andreeva, Daria

AU - Miszuris, Wiktoria

AU - Mishuris, Gennady

AU - Eremeyev, Victor A.

N1 - Funding Information: The authors gratefully acknowledge support from the European Union’s Seventh Framework Programme FP7/2007-2013/ under REA Grant agreement IRSES-GA-2013-610547-TAMER. GM gratefully acknowledges support from the ERC Advanced Grant “Instabilities and nonlocal multiscale modeling of materials” ERC-2013-ADG-340561-INSTABILITIES and is thankful for a support from the Ministry of Education and Science of the Russian Federation (Project No. 14.Z50.31.0036 awarded to R.E. Alekseev Nizhny Novgorod Technical University during his short visit there). Publisher Copyright: © 2019 by Begell House, Inc.

PY - 2019/6/15

Y1 - 2019/6/15

N2 - Within the linear Gurtin–Murdoch model of surface elasticity we consider the antiplane deformations in an elastic matrix with a rigid cylindrical fiber influenced by external force. The influence of the surface elastic moduli on the stress distribution and adhesion force is analyzed.

AB - Within the linear Gurtin–Murdoch model of surface elasticity we consider the antiplane deformations in an elastic matrix with a rigid cylindrical fiber influenced by external force. The influence of the surface elastic moduli on the stress distribution and adhesion force is analyzed.

KW - surface elasticity

KW - Gurtin-Murdoch model

KW - antiplane deformation

KW - nonperfect contact

KW - adhesion

KW - Nonperfect contact

KW - Gurtin

KW - Murdoch model

KW - Surface elasticity

KW - Adhesion

KW - Antiplane deformation

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U2 - 10.1615/NanoSciTechnolIntJ.2018029070

DO - 10.1615/NanoSciTechnolIntJ.2018029070

M3 - Article

SN - 2572-4258

VL - 10

SP - 79

EP - 87

JO - Nanoscience and Technology: An International Journal

JF - Nanoscience and Technology: An International Journal

IS - 1

ER -

On Antiplane Deformations of an Elastic Material with Rigid Fibers Considering Surface Energy and Nonperfect Contact

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Keywords

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Trans-Atlantic Micromechanics Evoling Research "Materials containing inhomogeneities of diverse physical properties, shapes sand orientations" -TAMER

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On Antiplane Deformations of an Elastic Material with Rigid Fibers Considering Surface Energy and Nonperfect Contact

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Keywords

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Trans-Atlantic Micromechanics Evoling Research "Materials containing inhomogeneities of diverse physical properties, shapes sand orientations" -TAMER

Cite this