ЗАДАЧА О РАВНОВЕСИИ ГИПЕРУПРУГОГО ТЕЛА С ЖЕСТКИМ ВКЛЮЧЕНИЕМ И ТРЕЩИНОЙ С УСЛОВИЯМИ НЕПРОНИКАНИЯ

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ЗАДАЧА О РАВНОВЕСИИ ГИПЕРУПРУГОГО ТЕЛА С ЖЕСТКИМ ВКЛЮЧЕНИЕМ И ТРЕЩИНОЙ С УСЛОВИЯМИ НЕПРОНИКАНИЯ. / Furtsev, Alexey Igorevich.

In: Siberian Electronic Mathematical Reports, Vol. 21, No. 1, 09.03.2024, p. 17-40.

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

BibTeX

@article{f8b28b3ba0e946948191a94c0cb63463,

title = "ЗАДАЧА О РАВНОВЕСИИ ГИПЕРУПРУГОГО ТЕЛА С ЖЕСТКИМ ВКЛЮЧЕНИЕМ И ТРЕЩИНОЙ С УСЛОВИЯМИ НЕПРОНИКАНИЯ",

abstract = "The paper deals with a solid body containing a rigid inclusion with a crack on its boundary. This body is assumed to be hypcrclastic; therefore, we describe it within the framework of finite-strain theory. Moreover, we implement a non-intcrpcnctration condition, which docs not allow the opposite crack faces to penetrate each other. The main object of our research is energy minimization corresponding to the problem of equilibrium for the described body. By the use of variational methods, it is shown that this problem has a solution. Then we discuss a boundary value problem that is satisfied by the equilibrium solution.",

keywords = "contact, crack, energy minimization, finite-strain elasticity, hypcrclastic material, non-interpenetration condition, rigid inclusion",

author = "Furtsev, {Alexey Igorevich}",

year = "2024",

month = mar,

day = "9",

doi = "10.33048/semi.2024.21.002",

language = "English",

volume = "21",

pages = "17--40",

journal = "Сибирские электронные математические известия",

issn = "1813-3304",

publisher = "Sobolev Institute of Mathematics",

number = "1",

}

RIS

TY - JOUR

T1 - ЗАДАЧА О РАВНОВЕСИИ ГИПЕРУПРУГОГО ТЕЛА С ЖЕСТКИМ ВКЛЮЧЕНИЕМ И ТРЕЩИНОЙ С УСЛОВИЯМИ НЕПРОНИКАНИЯ

AU - Furtsev, Alexey Igorevich

PY - 2024/3/9

Y1 - 2024/3/9

N2 - The paper deals with a solid body containing a rigid inclusion with a crack on its boundary. This body is assumed to be hypcrclastic; therefore, we describe it within the framework of finite-strain theory. Moreover, we implement a non-intcrpcnctration condition, which docs not allow the opposite crack faces to penetrate each other. The main object of our research is energy minimization corresponding to the problem of equilibrium for the described body. By the use of variational methods, it is shown that this problem has a solution. Then we discuss a boundary value problem that is satisfied by the equilibrium solution.

AB - The paper deals with a solid body containing a rigid inclusion with a crack on its boundary. This body is assumed to be hypcrclastic; therefore, we describe it within the framework of finite-strain theory. Moreover, we implement a non-intcrpcnctration condition, which docs not allow the opposite crack faces to penetrate each other. The main object of our research is energy minimization corresponding to the problem of equilibrium for the described body. By the use of variational methods, it is shown that this problem has a solution. Then we discuss a boundary value problem that is satisfied by the equilibrium solution.

KW - contact

KW - crack

KW - energy minimization

KW - finite-strain elasticity

KW - hypcrclastic material

KW - non-interpenetration condition

KW - rigid inclusion

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85191822466&origin=inward&txGid=93b465588fc2cdf2ae03c5f389001004

UR - https://www.webofscience.com/wos/woscc/full-record/WOS:001164416300002

UR - https://www.mendeley.com/catalogue/4e25ab3f-1a0b-3ed0-9cfb-84105274b881/

U2 - 10.33048/semi.2024.21.002

DO - 10.33048/semi.2024.21.002

M3 - Article

VL - 21

SP - 17

EP - 40

JO - Сибирские электронные математические известия

JF - Сибирские электронные математические известия

SN - 1813-3304

IS - 1

ER -

ID: 61172864