Solutions of Periodic and Doubly Periodic Bending Problems of a Thin Piezo Plate with Holes or Cracks

The solutions of periodic and doubly periodic problems of bending of a piezo plate with elliptical holes or cracks are given with an analysis of the results of numerical studies. In this case, complex potentials of the theory of bending of thin electro-magneto-elastic plates are used, holomorphic fu...

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Vydáno v:Mechanics of solids Ročník 60; číslo 2; s. 812 - 824
Hlavní autoři: Kaloerov, S. A., Seroshtanov, A. V.
Médium: Journal Article
Jazyk:angličtina
Vydáno: Moscow Pleiades Publishing 01.04.2025
Springer Nature B.V
Témata:
Algebra
Analytic functions
Bending moments
Boundary conditions
Classical Mechanics
Conformal mapping
Cracks
Decomposition
Elastic plates
Least squares method
Mathematical analysis
Mechanical properties
Numerical analysis
Physical properties
Physics
Physics and Astronomy
thin piezo plate with holes and cracks
periodic problem
complex potentials
doubly periodic problem
ISSN:0025-6544, 1934-7936
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Abstract The solutions of periodic and doubly periodic problems of bending of a piezo plate with elliptical holes or cracks are given with an analysis of the results of numerical studies. In this case, complex potentials of the theory of bending of thin electro-magneto-elastic plates are used, holomorphic functions outside the holes are represented by Laurent series in negative powers of variables from the corresponding conformal mappings and, based on the periodicity or doubly periodicity of the electro-magneto-elastic state of the plate, the coefficients of the series from all the holes are expressed through the coefficients of the series from one, the so-called main hole. The determination of the last coefficients is carried out from the boundary conditions on the contour of the main hole using the generalized least squares method. The results of numerical studies for a plate with circular holes or cracks with full or partial consideration of piezo properties, without taking them into account, are described. The patterns of influence on the values of bending moments and their concentration of the geometric characteristics of the discussed plates and the physico-mechanical properties of their materials are established.
AbstractList The solutions of periodic and doubly periodic problems of bending of a piezo plate with elliptical holes or cracks are given with an analysis of the results of numerical studies. In this case, complex potentials of the theory of bending of thin electro-magneto-elastic plates are used, holomorphic functions outside the holes are represented by Laurent series in negative powers of variables from the corresponding conformal mappings and, based on the periodicity or doubly periodicity of the electro-magneto-elastic state of the plate, the coefficients of the series from all the holes are expressed through the coefficients of the series from one, the so-called main hole. The determination of the last coefficients is carried out from the boundary conditions on the contour of the main hole using the generalized least squares method. The results of numerical studies for a plate with circular holes or cracks with full or partial consideration of piezo properties, without taking them into account, are described. The patterns of influence on the values of bending moments and their concentration of the geometric characteristics of the discussed plates and the physico-mechanical properties of their materials are established.
Author Seroshtanov, A. V.
Kaloerov, S. A.
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Cites_doi 10.1016/j.actamat.2005.05.014
10.1007/978-1-4612-3226-1
10.15593/perm.mech/2019.2.04
10.1007/BF02398809
10.1137/050639193
10.1007/s00707-008-0025-7
10.1007/s10778-012-0523-0
10.1007/s00707-007-0527-8
10.1016/B978-1-4832-2857-0.50009-5
10.1137/05063920X
10.1016/j.euromechsol.2004.02.002
10.1016/S0020-7462(03)00023-4
10.1063/1.2836410
10.1007/s10338-019-00129-z
10.1007/s10338-021-00271-7
10.1134/S0021894422040150
10.1016/j.mechmat.2008.12.001
10.1002/zamm.201200219
10.1201/9780429488672-1
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Copyright Pleiades Publishing, Ltd. 2025 ISSN 0025-6544, Mechanics of Solids, 2025, Vol. 60, No. 2, pp. 812–824. © Pleiades Publishing, Ltd., 2025.Russian Text © The Author(s), 2025, published in Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Tverdogo Tela, 2025, No. 2, pp. 28–45.
Pleiades Publishing, Ltd. 2025.
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periodic problem
complex potentials
doubly periodic problem
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References S. A. Kaloerov (9083_CR16) 2012; 48
9083_CR20
L. Librescu (9083_CR10) 2004; 39
A. C. Eringen (9083_CR9) 1990
9083_CR15
W. Shen (9083_CR11) 2022; 35
S. A. Kaloerov (9083_CR17) 2022; 63
P. F. Hou (9083_CR25) 2009; 41
Z. Drmač (9083_CR21) 2008; 29
9083_CR5
R. Tian (9083_CR6) 2020; 33
V. V. Voevodin (9083_CR19) 1977
9083_CR8
A. P. Pyatakov (9083_CR4) 2006; 5
9083_CR14
9083_CR1
9083_CR2
9083_CR3
D. Ieşan (9083_CR12) 2008; 198
S.- P. Xu (9083_CR13) 2009; 203
W.-Y. Tian (9083_CR23) 2004; 23
Y. Yamamoto (9083_CR24) 1987
Z. Drmač (9083_CR22) 2008; 29
S. A. Kaloerov (9083_CR18) 1997; 84
S. Srinivas (9083_CR7) 2005; 53
References_xml – volume: 53
  start-page: 4135
  year: 2005
  ident: 9083_CR7
  publication-title: Acta Mater.
  doi: 10.1016/j.actamat.2005.05.014
– volume-title: Electrodynamics of Continua I
  year: 1990
  ident: 9083_CR9
  doi: 10.1007/978-1-4612-3226-1
– ident: 9083_CR20
– ident: 9083_CR8
  doi: 10.15593/perm.mech/2019.2.04
– volume-title: Electromagnetomechanical Interactions in Deformable Solids and Structures
  year: 1987
  ident: 9083_CR24
– volume: 84
  start-page: 1497
  year: 1997
  ident: 9083_CR18
  publication-title: J. Math. Sci.
  doi: 10.1007/BF02398809
– volume: 29
  start-page: 1322
  year: 2008
  ident: 9083_CR21
  publication-title: SIAM J. Matrix Anal. Appl.
  doi: 10.1137/050639193
– volume: 203
  start-page: 127
  year: 2009
  ident: 9083_CR13
  publication-title: Acta Mech.
  doi: 10.1007/s00707-008-0025-7
– volume: 48
  start-page: 319
  year: 2012
  ident: 9083_CR16
  publication-title: Int. Appl. Mech.
  doi: 10.1007/s10778-012-0523-0
– volume: 198
  start-page: 191
  year: 2008
  ident: 9083_CR12
  publication-title: Acta Mech.
  doi: 10.1007/s00707-007-0527-8
– ident: 9083_CR2
  doi: 10.1016/B978-1-4832-2857-0.50009-5
– volume: 5
  start-page: 1
  year: 2006
  ident: 9083_CR4
  publication-title: Bul. Ross. Magnit. Obshch.
– volume: 29
  start-page: 1343
  year: 2008
  ident: 9083_CR22
  publication-title: SIAM J. Matrix Anal. Appl.
  doi: 10.1137/05063920X
– ident: 9083_CR15
– volume: 23
  start-page: 599
  year: 2004
  ident: 9083_CR23
  publication-title: Eur. J. Mech. Part A
  doi: 10.1016/j.euromechsol.2004.02.002
– volume: 39
  start-page: 723
  year: 2004
  ident: 9083_CR10
  publication-title: Int. J. Non-Linear Mech.
  doi: 10.1016/S0020-7462(03)00023-4
– ident: 9083_CR5
  doi: 10.1063/1.2836410
– volume: 33
  start-page: 368
  year: 2020
  ident: 9083_CR6
  publication-title: Acta Mech. Solida Sin.
  doi: 10.1007/s10338-019-00129-z
– volume-title: Computational Basis of Linear Algebra
  year: 1977
  ident: 9083_CR19
– volume: 35
  start-page: 185
  year: 2022
  ident: 9083_CR11
  publication-title: Acta Mech. Solida Sin.
  doi: 10.1007/s10338-021-00271-7
– ident: 9083_CR1
– volume: 63
  start-page: 676
  year: 2022
  ident: 9083_CR17
  publication-title: J. Appl. Mech. Tech. Phy.
  doi: 10.1134/S0021894422040150
– volume: 41
  start-page: 329
  year: 2009
  ident: 9083_CR25
  publication-title: Mech. Mater.
  doi: 10.1016/j.mechmat.2008.12.001
– ident: 9083_CR14
  doi: 10.1002/zamm.201200219
– ident: 9083_CR3
  doi: 10.1201/9780429488672-1
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SubjectTerms Algebra
Analytic functions
Bending moments
Boundary conditions
Classical Mechanics
Conformal mapping
Cracks
Decomposition
Elastic plates
Least squares method
Mathematical analysis
Mechanical properties
Numerical analysis
Physical properties
Physics
Physics and Astronomy
Title Solutions of Periodic and Doubly Periodic Bending Problems of a Thin Piezo Plate with Holes or Cracks
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