A hierarchy of high-order theories for modes in an elastic layer

Sergey V. Sorokin; C. John Chapman

A hierarchy of high-order theories for modes in an elastic layer

Solid and Computational Mechanics

Research output: Contribution to book/anthology/report/conference proceeding › Article in proceeding › Research › peer-review

Abstract

A hierarchy of high-order theories for symmetric and skew-symmetric modes in an infinitely long elastic layer of the constant thickness is derived. For each member of the hierarchy, boundary conditions for layers of the finite length are formulated. The forcing problems at several approximation levels are solved with use of the bi-orthogonality conditions. Accuracy of these approximations is assessed by comparison of results with the exact solution of the Rayleigh-Lamb problem

Original language	English
Title of host publication	Proceedings of the 22nd International Congress on Sound and Vibration : Major challenges in Acoustics, Noise and Vibration Research, 2015
Editors	Malcolm J. Crocker, Marek Pawelczyk, Francesca Pedrielli, Eleonora Carletti, Sergio Luzzi
Number of pages	2
Publisher	The International Institute of Acoustics and Vibration (IIAV)
Publication date	2015
ISBN (Print)	97888-88942-48-3
Publication status	Published - 2015
Event	22nd International Congress on Sound and Vibration - Florence, Italy Duration: 12 Jul 2015 → 16 Jul 2015 Conference number: 22

Conference

Conference	22nd International Congress on Sound and Vibration
Number	22
Country/Territory	Italy
City	Florence
Period	12/07/2015 → 16/07/2015

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Sorokin, S. V., & Chapman, C. J. (2015). A hierarchy of high-order theories for modes in an elastic layer. In M. J. Crocker, M. Pawelczyk, F. Pedrielli, E. Carletti, & S. Luzzi (Eds.), Proceedings of the 22nd International Congress on Sound and Vibration: Major challenges in Acoustics, Noise and Vibration Research, 2015 The International Institute of Acoustics and Vibration (IIAV). http://iiav.org/archives_icsv_last/2015_icsv22/

Sorokin, Sergey V. ; Chapman, C. John. / A hierarchy of high-order theories for modes in an elastic layer. Proceedings of the 22nd International Congress on Sound and Vibration: Major challenges in Acoustics, Noise and Vibration Research, 2015. editor / Malcolm J. Crocker ; Marek Pawelczyk ; Francesca Pedrielli ; Eleonora Carletti ; Sergio Luzzi. The International Institute of Acoustics and Vibration (IIAV), 2015.

@inproceedings{c7e0021ae6b649eba8350ff83f509373,

title = "A hierarchy of high-order theories for modes in an elastic layer",

abstract = "A hierarchy of high-order theories for symmetric and skew-symmetric modes in an infinitely long elastic layer of the constant thickness is derived. For each member of the hierarchy, boundary conditions for layers of the finite length are formulated. The forcing problems at several approximation levels are solved with use of the bi-orthogonality conditions. Accuracy of these approximations is assessed by comparison of results with the exact solution of the Rayleigh-Lamb problem",

keywords = "Asymptotic analysis, Wave propagation, Hierarchy of high-order theories",

author = "Sorokin, {Sergey V.} and Chapman, {C. John}",

year = "2015",

language = "English",

isbn = "97888-88942-48-3",

editor = "Crocker, {Malcolm J. } and Pawelczyk, {Marek } and Pedrielli, {Francesca } and Carletti, {Eleonora } and Luzzi, {Sergio }",

booktitle = "Proceedings of the 22nd International Congress on Sound and Vibration",

publisher = "The International Institute of Acoustics and Vibration (IIAV)",

note = "22nd International Congress on Sound and Vibration ; Conference date: 12-07-2015 Through 16-07-2015",

}

Sorokin, SV & Chapman, CJ 2015, A hierarchy of high-order theories for modes in an elastic layer. in MJ Crocker, M Pawelczyk, F Pedrielli, E Carletti & S Luzzi (eds), Proceedings of the 22nd International Congress on Sound and Vibration: Major challenges in Acoustics, Noise and Vibration Research, 2015. The International Institute of Acoustics and Vibration (IIAV), 22nd International Congress on Sound and Vibration , Florence, Italy, 12/07/2015. <http://iiav.org/archives_icsv_last/2015_icsv22/>

A hierarchy of high-order theories for modes in an elastic layer. / Sorokin, Sergey V.; Chapman, C. John.
Proceedings of the 22nd International Congress on Sound and Vibration: Major challenges in Acoustics, Noise and Vibration Research, 2015. ed. / Malcolm J. Crocker; Marek Pawelczyk; Francesca Pedrielli; Eleonora Carletti; Sergio Luzzi. The International Institute of Acoustics and Vibration (IIAV), 2015.

Research output: Contribution to book/anthology/report/conference proceeding › Article in proceeding › Research › peer-review

TY - GEN

T1 - A hierarchy of high-order theories for modes in an elastic layer

AU - Sorokin, Sergey V.

AU - Chapman, C. John

N1 - Conference code: 22

PY - 2015

Y1 - 2015

N2 - A hierarchy of high-order theories for symmetric and skew-symmetric modes in an infinitely long elastic layer of the constant thickness is derived. For each member of the hierarchy, boundary conditions for layers of the finite length are formulated. The forcing problems at several approximation levels are solved with use of the bi-orthogonality conditions. Accuracy of these approximations is assessed by comparison of results with the exact solution of the Rayleigh-Lamb problem

AB - A hierarchy of high-order theories for symmetric and skew-symmetric modes in an infinitely long elastic layer of the constant thickness is derived. For each member of the hierarchy, boundary conditions for layers of the finite length are formulated. The forcing problems at several approximation levels are solved with use of the bi-orthogonality conditions. Accuracy of these approximations is assessed by comparison of results with the exact solution of the Rayleigh-Lamb problem

KW - Asymptotic analysis

KW - Wave propagation

KW - Hierarchy of high-order theories

M3 - Article in proceeding

SN - 97888-88942-48-3

BT - Proceedings of the 22nd International Congress on Sound and Vibration

A2 - Crocker, Malcolm J.

A2 - Pawelczyk, Marek

A2 - Pedrielli, Francesca

A2 - Carletti, Eleonora

A2 - Luzzi, Sergio

PB - The International Institute of Acoustics and Vibration (IIAV)

T2 - 22nd International Congress on Sound and Vibration

Y2 - 12 July 2015 through 16 July 2015

ER -