Numerical-analytic investigation of the dynamics of viscoelastic and porous elastic bodies
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作者:
L. A. Igumnov
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机构:Research Institute of Mechanics of Lobachevsky Nizhnii Novgorod State University,
L. A. Igumnov
A. V. Amenitskii
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机构:Research Institute of Mechanics of Lobachevsky Nizhnii Novgorod State University,
A. V. Amenitskii
A. A. Belov
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机构:Research Institute of Mechanics of Lobachevsky Nizhnii Novgorod State University,
A. A. Belov
S. Yu. Litvinchuk
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机构:Research Institute of Mechanics of Lobachevsky Nizhnii Novgorod State University,
S. Yu. Litvinchuk
A. N. Petrov
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机构:Research Institute of Mechanics of Lobachevsky Nizhnii Novgorod State University,
A. N. Petrov
机构:
[1] Research Institute of Mechanics of Lobachevsky Nizhnii Novgorod State University,
来源:
Journal of Applied Mechanics and Technical Physics
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2014年
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55卷
关键词:
method of boundary integral equations;
viscoelasticity;
porous elastic bodies;
inversion of the Laplace transform;
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摘要:
This paper presents the results of mathematical and discrete modeling of linear dynamics problems for three-dimensional viscoelastic and porous elastic bodies. The employed methods and approaches are based on formulating boundary integral equations solved using boundary elements. The model of a standard viscoelastic body is employed as the viscoelastic model. The properties of porous elastic materials are described using the full Biot model with four basic functions. Examples of numerical solutions of the problems are compared with known results of solutions.
机构:
Lobachevsky Nizhnii Novgorod State Univ, Res Inst Mech, Nizhnii Novgorod 603950, RussiaLobachevsky Nizhnii Novgorod State Univ, Res Inst Mech, Nizhnii Novgorod 603950, Russia
Igumnov, L. A.
Amenitskii, A. V.
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机构:
Lobachevsky Nizhnii Novgorod State Univ, Res Inst Mech, Nizhnii Novgorod 603950, RussiaLobachevsky Nizhnii Novgorod State Univ, Res Inst Mech, Nizhnii Novgorod 603950, Russia
Amenitskii, A. V.
Belov, A. A.
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h-index: 0
机构:
Lobachevsky Nizhnii Novgorod State Univ, Res Inst Mech, Nizhnii Novgorod 603950, RussiaLobachevsky Nizhnii Novgorod State Univ, Res Inst Mech, Nizhnii Novgorod 603950, Russia
Belov, A. A.
Litvinchuk, S. Yu
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h-index: 0
机构:
Lobachevsky Nizhnii Novgorod State Univ, Res Inst Mech, Nizhnii Novgorod 603950, RussiaLobachevsky Nizhnii Novgorod State Univ, Res Inst Mech, Nizhnii Novgorod 603950, Russia
Litvinchuk, S. Yu
Petrov, A. N.
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机构:
Lobachevsky Nizhnii Novgorod State Univ, Res Inst Mech, Nizhnii Novgorod 603950, RussiaLobachevsky Nizhnii Novgorod State Univ, Res Inst Mech, Nizhnii Novgorod 603950, Russia
机构:
Katholieke Univ Leuven, Dept Chem Engn, B-3001 Heverlee, Belgium
Leuven Mat Res Ctr, B-3001 Heverlee, BelgiumVirginia Polytech Inst & State Univ, Dept Math, Blacksburg, VA 24061 USA
Cardinaels, Ruth
Afkhami, Shahriar
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机构:
New Jersey Inst Technol, Dept Math Sci, Newark, NJ 07102 USAVirginia Polytech Inst & State Univ, Dept Math, Blacksburg, VA 24061 USA
Afkhami, Shahriar
Renardy, Yuriko
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机构:
Virginia Polytech Inst & State Univ, Dept Math, Blacksburg, VA 24061 USA
Virginia Polytech Inst & State Univ, ICAM, Blacksburg, VA 24061 USAVirginia Polytech Inst & State Univ, Dept Math, Blacksburg, VA 24061 USA
Renardy, Yuriko
Moldenaers, Paula
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机构:
Katholieke Univ Leuven, Dept Chem Engn, B-3001 Heverlee, Belgium
Leuven Mat Res Ctr, B-3001 Heverlee, BelgiumVirginia Polytech Inst & State Univ, Dept Math, Blacksburg, VA 24061 USA
机构:
Czestochowa Tech Univ, Fac Prod Engn & Mat Technol, Al Armii Krajowej 19, PL-42201 Czestochowa, PolandCzestochowa Tech Univ, Fac Prod Engn & Mat Technol, Al Armii Krajowej 19, PL-42201 Czestochowa, Poland
Rydz, Dariusz
Salwin, Mariusz
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机构:
Warsaw Univ Technol, Fac Mech & Ind Engn, ul Narbutta 86, PL-02524 Warsaw, PolandCzestochowa Tech Univ, Fac Prod Engn & Mat Technol, Al Armii Krajowej 19, PL-42201 Czestochowa, Poland
机构:
Univ Lyon, LGCB LTDS CNRS 5513, Ecole Natl Travaux Publ Etat, Rue Maurice Audin, F-69518 Vaulx En Velin, FranceUniv Lyon, LGCB LTDS CNRS 5513, Ecole Natl Travaux Publ Etat, Rue Maurice Audin, F-69518 Vaulx En Velin, France
Boutin, Claude
Viverge, Kevin
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机构:
Univ Lyon, LGCB LTDS CNRS 5513, Ecole Natl Travaux Publ Etat, Rue Maurice Audin, F-69518 Vaulx En Velin, FranceUniv Lyon, LGCB LTDS CNRS 5513, Ecole Natl Travaux Publ Etat, Rue Maurice Audin, F-69518 Vaulx En Velin, France
Viverge, Kevin
Hans, Stephane
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机构:
Univ Lyon, LGCB LTDS CNRS 5513, Ecole Natl Travaux Publ Etat, Rue Maurice Audin, F-69518 Vaulx En Velin, FranceUniv Lyon, LGCB LTDS CNRS 5513, Ecole Natl Travaux Publ Etat, Rue Maurice Audin, F-69518 Vaulx En Velin, France