Skip to main content
Top

2020 | OriginalPaper | Chapter

Some Dynamic Problems for Layered Composites

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

The problems of constructing analytical solutions of non-stationary dynamic problems for layered composites in the case when all the layers are linearly viscoelastic, but their hereditary properties are determined by only one kernel, the same for all layers, are considered. In this case, the Poisson’s ratio of the material of each layer becomes time-independent. A special case is considered when all the layers are linearly elastic. The perturbation propagation region is assumed to be limited. The integral Laplace transform in time is applied, followed by inversion. Sufficient conditions, under which all the poles of the solution in the transforms are simple, are formulated. The question of the location of these poles is considered. An example is given of constructing an analytical solution to a two-dimensional non-stationary dynamic problem for a cylindrical body consisting of elastic or viscoelastic layers under the above assumption. The results of a study of two-dimensional transient wave processes in a layered cylindrical elastic body, based on the corresponding analytical solution, are presented.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Literature
1.
go back to reference Sabodash, P.F.: Propagation of longitudinal viscoelastic waves in a three-layer medium. Polymer Mech. 7(1), 124–128 (1971). [in Russian]CrossRef Sabodash, P.F.: Propagation of longitudinal viscoelastic waves in a three-layer medium. Polymer Mech. 7(1), 124–128 (1971). [in Russian]CrossRef
2.
go back to reference Kozlov, V.I., Kucher, N.K.: Dynamic behavior of multilayer cylindrical structures with transient loads. Strength Mater. 12(5), 639–648 (1980). [in Russian]CrossRef Kozlov, V.I., Kucher, N.K.: Dynamic behavior of multilayer cylindrical structures with transient loads. Strength Mater. 12(5), 639–648 (1980). [in Russian]CrossRef
3.
go back to reference Nuriev, B.R.: Impact on a Viscoelastic Layered Composite. Izv. Akad. Nauk AzSSR. Ser. Fiz-Tekh. Mat. Nauk 4, 35–41 (1985). [in Russian]MathSciNetMATH Nuriev, B.R.: Impact on a Viscoelastic Layered Composite. Izv. Akad. Nauk AzSSR. Ser. Fiz-Tekh. Mat. Nauk 4, 35–41 (1985). [in Russian]MathSciNetMATH
4.
go back to reference Songnan, L., Ping, G.: Dynamic response of layered viscoelastic half-space and its application to dynamic foundation problems. Hubnan Daxue Xuebao. J. Hunan Univ. 20(1), 57–64 (1993) Songnan, L., Ping, G.: Dynamic response of layered viscoelastic half-space and its application to dynamic foundation problems. Hubnan Daxue Xuebao. J. Hunan Univ. 20(1), 57–64 (1993)
5.
go back to reference Lokshin, A.A.: The head wave at the boundary of two hereditary-elastic half-spaces. The case of a linear source. J. Appl. Math. Mech. 58(1), 171–176 (1994)MathSciNetCrossRef Lokshin, A.A.: The head wave at the boundary of two hereditary-elastic half-spaces. The case of a linear source. J. Appl. Math. Mech. 58(1), 171–176 (1994)MathSciNetCrossRef
6.
go back to reference Suk Lee, H.: Viscowave – a new solution for viscoelastic wave propagation of layered structures subjected to an impact load. Int. J. Pavement Eng. 15(6), 542–557 (2014)CrossRef Suk Lee, H.: Viscowave – a new solution for viscoelastic wave propagation of layered structures subjected to an impact load. Int. J. Pavement Eng. 15(6), 542–557 (2014)CrossRef
7.
go back to reference Hosseini Hashemi, S., Bakhshi Khaniki, H.: Dynamic behavior of multi-layered viscoelastic nanobeam system embedded in a viscoelastic medium with a moving nanoparticle. J. Mech. 33(5), 559–575 (2017)CrossRef Hosseini Hashemi, S., Bakhshi Khaniki, H.: Dynamic behavior of multi-layered viscoelastic nanobeam system embedded in a viscoelastic medium with a moving nanoparticle. J. Mech. 33(5), 559–575 (2017)CrossRef
8.
go back to reference Pshenichnov, S.G.: Dynamic linear viscoelasticity problems for piecewise homogeneous bodies. Mech. Solids 51(1), 65–74 (2016)CrossRef Pshenichnov, S.G.: Dynamic linear viscoelasticity problems for piecewise homogeneous bodies. Mech. Solids 51(1), 65–74 (2016)CrossRef
9.
go back to reference Bulychev, G.G., Pshenichnov, S.G.: Propagation of elastic waves in layered cylinder. Doklady AN USSR 303(5), 1074–1078 (1988). [in Russian]MathSciNetMATH Bulychev, G.G., Pshenichnov, S.G.: Propagation of elastic waves in layered cylinder. Doklady AN USSR 303(5), 1074–1078 (1988). [in Russian]MathSciNetMATH
Metadata
Title
Some Dynamic Problems for Layered Composites
Author
Sergey Pshenichnov
Copyright Year
2020
DOI
https://doi.org/10.1007/978-3-030-47883-4_36

Premium Partners