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Stress distribution at the wavy surface of a solid incorporating surface stresses and surface tension. / Kostyrko, Sergey; Grekov, Mikhail; Altenbach, Holm.

Advances in Solid and Fracture Mechanics. Springer Nature, 2022. стр. 151-166 (Advanced Structured Materials; Том 180).

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Harvard

Kostyrko, S, Grekov, M & Altenbach, H 2022, Stress distribution at the wavy surface of a solid incorporating surface stresses and surface tension. в Advances in Solid and Fracture Mechanics. Advanced Structured Materials, Том. 180, Springer Nature, стр. 151-166. https://doi.org/10.1007/978-3-031-18393-5_10, https://doi.org/10.1007/978-3-031-18393-5_10

APA

Kostyrko, S., Grekov, M., & Altenbach, H. (2022). Stress distribution at the wavy surface of a solid incorporating surface stresses and surface tension. в Advances in Solid and Fracture Mechanics (стр. 151-166). (Advanced Structured Materials; Том 180). Springer Nature. https://doi.org/10.1007/978-3-031-18393-5_10, https://doi.org/10.1007/978-3-031-18393-5_10

Vancouver

Kostyrko S, Grekov M, Altenbach H. Stress distribution at the wavy surface of a solid incorporating surface stresses and surface tension. в Advances in Solid and Fracture Mechanics. Springer Nature. 2022. стр. 151-166. (Advanced Structured Materials). https://doi.org/10.1007/978-3-031-18393-5_10, https://doi.org/10.1007/978-3-031-18393-5_10

Author

Kostyrko, Sergey ; Grekov, Mikhail ; Altenbach, Holm. / Stress distribution at the wavy surface of a solid incorporating surface stresses and surface tension. Advances in Solid and Fracture Mechanics. Springer Nature, 2022. стр. 151-166 (Advanced Structured Materials).

BibTeX

@inbook{5eabc9c91d95434482ec407f8dc5fedc,
title = "Stress distribution at the wavy surface of a solid incorporating surface stresses and surface tension",
abstract = "Employing the original Gurtin-Murdoch model of surface elasticity, weinvestigate the stress field near the curved surface of isotropic elastic solid jointlyinduced by surface stresses and external tensile loading. Due to the plane strain conditions,the two-dimensional boundary value problem for half-plane with a curvedboundary is formulated in terms of the complex variables. Based on the Goursat-Kolosov complex potentials and boundary perturbation method whereby the unknown functions are sought in the form of a power series in the small parameter represented by an amplitude-to-wavelength ratio of the surface undulation, the formulated boundary value problem is reduced to the recurrent sequence of the integral equations for any-order approximation. Considering the cosine-shaped surface, the first-order approximation of the stress tensor components is derived in the closedform. The effect of the surface elasticity and surface tension on the stress field at the surface is numerically investigated.",
keywords = "Surface undulation, Surface elasticity, Surface tension, Complete Gurtin-Murdoch model, Complex potentials, Boundary perturbation method",
author = "Sergey Kostyrko and Mikhail Grekov and Holm Altenbach",
year = "2022",
month = nov,
day = "9",
doi = "10.1007/978-3-031-18393-5_10",
language = "English",
isbn = "978-3-031-18392-8",
series = "Advanced Structured Materials",
publisher = "Springer Nature",
pages = "151--166",
booktitle = "Advances in Solid and Fracture Mechanics",
address = "Germany",

}

RIS

TY - CHAP

T1 - Stress distribution at the wavy surface of a solid incorporating surface stresses and surface tension

AU - Kostyrko, Sergey

AU - Grekov, Mikhail

AU - Altenbach, Holm

PY - 2022/11/9

Y1 - 2022/11/9

N2 - Employing the original Gurtin-Murdoch model of surface elasticity, weinvestigate the stress field near the curved surface of isotropic elastic solid jointlyinduced by surface stresses and external tensile loading. Due to the plane strain conditions,the two-dimensional boundary value problem for half-plane with a curvedboundary is formulated in terms of the complex variables. Based on the Goursat-Kolosov complex potentials and boundary perturbation method whereby the unknown functions are sought in the form of a power series in the small parameter represented by an amplitude-to-wavelength ratio of the surface undulation, the formulated boundary value problem is reduced to the recurrent sequence of the integral equations for any-order approximation. Considering the cosine-shaped surface, the first-order approximation of the stress tensor components is derived in the closedform. The effect of the surface elasticity and surface tension on the stress field at the surface is numerically investigated.

AB - Employing the original Gurtin-Murdoch model of surface elasticity, weinvestigate the stress field near the curved surface of isotropic elastic solid jointlyinduced by surface stresses and external tensile loading. Due to the plane strain conditions,the two-dimensional boundary value problem for half-plane with a curvedboundary is formulated in terms of the complex variables. Based on the Goursat-Kolosov complex potentials and boundary perturbation method whereby the unknown functions are sought in the form of a power series in the small parameter represented by an amplitude-to-wavelength ratio of the surface undulation, the formulated boundary value problem is reduced to the recurrent sequence of the integral equations for any-order approximation. Considering the cosine-shaped surface, the first-order approximation of the stress tensor components is derived in the closedform. The effect of the surface elasticity and surface tension on the stress field at the surface is numerically investigated.

KW - Surface undulation, Surface elasticity, Surface tension, Complete Gurtin-Murdoch model, Complex potentials, Boundary perturbation method

U2 - 10.1007/978-3-031-18393-5_10

DO - 10.1007/978-3-031-18393-5_10

M3 - Article in an anthology

SN - 978-3-031-18392-8

T3 - Advanced Structured Materials

SP - 151

EP - 166

BT - Advances in Solid and Fracture Mechanics

PB - Springer Nature

ER -

ID: 113386795