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Two-dimensional linear model of elastic shell made of anisonropic heterogeneous material. / Tovstik, Petr E.; Tovstik, Tatiana Petrovna; Alchibaev, Daniil.

COMPDYN 2015 - 5th ECCOMAS Thematic Conference on Computational Methods in Structural Dynamics and Earthquake Engineering. National Technical University of Athens (NTUA), 2015. p. 933-945.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Harvard

Tovstik, PE, Tovstik, TP & Alchibaev, D 2015, Two-dimensional linear model of elastic shell made of anisonropic heterogeneous material. in COMPDYN 2015 - 5th ECCOMAS Thematic Conference on Computational Methods in Structural Dynamics and Earthquake Engineering. National Technical University of Athens (NTUA), pp. 933-945, 5th ECCOMAS Thematic Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, COMPDYN 2015, Hersonissos, Crete, Greece, 24/05/15.

APA

Tovstik, P. E., Tovstik, T. P., & Alchibaev, D. (2015). Two-dimensional linear model of elastic shell made of anisonropic heterogeneous material. In COMPDYN 2015 - 5th ECCOMAS Thematic Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (pp. 933-945). National Technical University of Athens (NTUA).

Vancouver

Tovstik PE, Tovstik TP, Alchibaev D. Two-dimensional linear model of elastic shell made of anisonropic heterogeneous material. In COMPDYN 2015 - 5th ECCOMAS Thematic Conference on Computational Methods in Structural Dynamics and Earthquake Engineering. National Technical University of Athens (NTUA). 2015. p. 933-945

Author

Tovstik, Petr E. ; Tovstik, Tatiana Petrovna ; Alchibaev, Daniil. / Two-dimensional linear model of elastic shell made of anisonropic heterogeneous material. COMPDYN 2015 - 5th ECCOMAS Thematic Conference on Computational Methods in Structural Dynamics and Earthquake Engineering. National Technical University of Athens (NTUA), 2015. pp. 933-945

BibTeX

@inproceedings{ae65262265754314894169908e07eff7,
title = "Two-dimensional linear model of elastic shell made of anisonropic heterogeneous material",
abstract = "A thin linearly elastic shell made of heterogeneous anisotropic material is studied. The general anisotropy described by 21 elastic moduli is examined. The material may be functionally graduated or multi-layered. The asymptotic expansions in powers of the relative shell thickness of the three-dimensional elasticity equations are used to deliver the two-dimensional shell model. In the zeroth-order approximation the model of 8th differential order is obtained. The asymptotic precision of this model is the same as the precision of the classic Kirchhoff-Love model for isotropic shell. Influence of the elastic moduli variation in the thickness direction is examined. As an example the Donnell system for shallow shells is presented, and this system is used to discuss the free transversal shell vibrations spectrum.",
keywords = "Asymptotical expansions, General anisotropy, Linear two-dimensional model, Thin shell",
author = "Tovstik, {Petr E.} and Tovstik, {Tatiana Petrovna} and Daniil Alchibaev",
year = "2015",
language = "English",
pages = "933--945",
booktitle = "COMPDYN 2015 - 5th ECCOMAS Thematic Conference on Computational Methods in Structural Dynamics and Earthquake Engineering",
publisher = "National Technical University of Athens (NTUA)",
address = "Greece",
note = "5th ECCOMAS Thematic Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, COMPDYN 2015 ; Conference date: 24-05-2015 Through 26-05-2015",

}

RIS

TY - GEN

T1 - Two-dimensional linear model of elastic shell made of anisonropic heterogeneous material

AU - Tovstik, Petr E.

AU - Tovstik, Tatiana Petrovna

AU - Alchibaev, Daniil

PY - 2015

Y1 - 2015

N2 - A thin linearly elastic shell made of heterogeneous anisotropic material is studied. The general anisotropy described by 21 elastic moduli is examined. The material may be functionally graduated or multi-layered. The asymptotic expansions in powers of the relative shell thickness of the three-dimensional elasticity equations are used to deliver the two-dimensional shell model. In the zeroth-order approximation the model of 8th differential order is obtained. The asymptotic precision of this model is the same as the precision of the classic Kirchhoff-Love model for isotropic shell. Influence of the elastic moduli variation in the thickness direction is examined. As an example the Donnell system for shallow shells is presented, and this system is used to discuss the free transversal shell vibrations spectrum.

AB - A thin linearly elastic shell made of heterogeneous anisotropic material is studied. The general anisotropy described by 21 elastic moduli is examined. The material may be functionally graduated or multi-layered. The asymptotic expansions in powers of the relative shell thickness of the three-dimensional elasticity equations are used to deliver the two-dimensional shell model. In the zeroth-order approximation the model of 8th differential order is obtained. The asymptotic precision of this model is the same as the precision of the classic Kirchhoff-Love model for isotropic shell. Influence of the elastic moduli variation in the thickness direction is examined. As an example the Donnell system for shallow shells is presented, and this system is used to discuss the free transversal shell vibrations spectrum.

KW - Asymptotical expansions

KW - General anisotropy

KW - Linear two-dimensional model

KW - Thin shell

UR - http://www.scopus.com/inward/record.url?scp=84942279590&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:84942279590

SP - 933

EP - 945

BT - COMPDYN 2015 - 5th ECCOMAS Thematic Conference on Computational Methods in Structural Dynamics and Earthquake Engineering

PB - National Technical University of Athens (NTUA)

T2 - 5th ECCOMAS Thematic Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, COMPDYN 2015

Y2 - 24 May 2015 through 26 May 2015

ER -

ID: 9282416