BUCKLING SENSITIVITY ANALYSIS AND OPTIMAL DESIGN OF TWO-LAYERED SHELLS UNDER CIRCUMFERENTIAL STRAIN LOAD

George Papadakis

BUCKLING SENSITIVITY ANALYSIS AND OPTIMAL DESIGN OF TWO-LAYERED SHELLS UNDER CIRCUMFERENTIAL STRAIN LOAD

King's College London

Research output: Chapter in Book/Report/Conference proceeding › Conference paper

Abstract

Shell buckling under circumferential strain loading appears often in many biomedical problems, such as collapse of asthmatic airways, esophagus etc. Currently there is no analytic solution from which the critical buckling load can be calculated from the geometrical and material properties of the shell layers. The theoretical analysis leads to the numerical solution of a generalized eigenvalue problem. The purpose of the present paper is to present a method with which the sensitivity of the buckling load (minimum positive eigenvalue) to uncertainties of the geometrical and material parameters can be calculated. It is shown that the sensitivity can be evaluated with the aid of the left (adjoint) eigenvectors. The proposed method is validated against separate global computations using the finite difference method. Finally, we employ the information on sensitivity to optimize the thickness of the outer shell layer in order to maximize the buckling load.

Original language	English
Title of host publication	Unknown
Place of Publication	NEW YORK
Publisher	AMER SOC MECHANICAL ENGINEERS
Pages	763 - 770
Number of pages	8
Volume	6
ISBN (Print)	978-0-7918-4925-5
Publication status	Published - 2010
Event	ASME Pressure Vessels and Piping Division/K-PVP Conference - Bellevue, WA Duration: 18 Jul 2010 → 22 Jul 2010

Publication series

Name	PROCEEDINGS OF THE ASME PRESSURE VESSELS AND PIPING CONFERENCE 2010, VOL 6, PTS A AND B

Conference

Conference	ASME Pressure Vessels and Piping Division/K-PVP Conference
City	Bellevue, WA
Period	18/07/2010 → 22/07/2010

Cite this

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title = "BUCKLING SENSITIVITY ANALYSIS AND OPTIMAL DESIGN OF TWO-LAYERED SHELLS UNDER CIRCUMFERENTIAL STRAIN LOAD",

abstract = "Shell buckling under circumferential strain loading appears often in many biomedical problems, such as collapse of asthmatic airways, esophagus etc. Currently there is no analytic solution from which the critical buckling load can be calculated from the geometrical and material properties of the shell layers. The theoretical analysis leads to the numerical solution of a generalized eigenvalue problem. The purpose of the present paper is to present a method with which the sensitivity of the buckling load (minimum positive eigenvalue) to uncertainties of the geometrical and material parameters can be calculated. It is shown that the sensitivity can be evaluated with the aid of the left (adjoint) eigenvectors. The proposed method is validated against separate global computations using the finite difference method. Finally, we employ the information on sensitivity to optimize the thickness of the outer shell layer in order to maximize the buckling load.",

author = "George Papadakis",

year = "2010",

language = "English",

isbn = "978-0-7918-4925-5",

volume = "6",

series = "PROCEEDINGS OF THE ASME PRESSURE VESSELS AND PIPING CONFERENCE 2010, VOL 6, PTS A AND B",

publisher = "AMER SOC MECHANICAL ENGINEERS",

pages = "763 -- 770",

booktitle = "Unknown",

note = "ASME Pressure Vessels and Piping Division/K-PVP Conference ; Conference date: 18-07-2010 Through 22-07-2010",

}

Papadakis, G 2010, BUCKLING SENSITIVITY ANALYSIS AND OPTIMAL DESIGN OF TWO-LAYERED SHELLS UNDER CIRCUMFERENTIAL STRAIN LOAD. in Unknown. vol. 6, PROCEEDINGS OF THE ASME PRESSURE VESSELS AND PIPING CONFERENCE 2010, VOL 6, PTS A AND B, AMER SOC MECHANICAL ENGINEERS, NEW YORK, pp. 763 - 770, ASME Pressure Vessels and Piping Division/K-PVP Conference, Bellevue, WA, 18/07/2010.

BUCKLING SENSITIVITY ANALYSIS AND OPTIMAL DESIGN OF TWO-LAYERED SHELLS UNDER CIRCUMFERENTIAL STRAIN LOAD. / Papadakis, George.
Unknown. Vol. 6 NEW YORK: AMER SOC MECHANICAL ENGINEERS, 2010. p. 763 - 770 (PROCEEDINGS OF THE ASME PRESSURE VESSELS AND PIPING CONFERENCE 2010, VOL 6, PTS A AND B).

Research output: Chapter in Book/Report/Conference proceeding › Conference paper

TY - CHAP

T1 - BUCKLING SENSITIVITY ANALYSIS AND OPTIMAL DESIGN OF TWO-LAYERED SHELLS UNDER CIRCUMFERENTIAL STRAIN LOAD

AU - Papadakis, George

PY - 2010

Y1 - 2010

N2 - Shell buckling under circumferential strain loading appears often in many biomedical problems, such as collapse of asthmatic airways, esophagus etc. Currently there is no analytic solution from which the critical buckling load can be calculated from the geometrical and material properties of the shell layers. The theoretical analysis leads to the numerical solution of a generalized eigenvalue problem. The purpose of the present paper is to present a method with which the sensitivity of the buckling load (minimum positive eigenvalue) to uncertainties of the geometrical and material parameters can be calculated. It is shown that the sensitivity can be evaluated with the aid of the left (adjoint) eigenvectors. The proposed method is validated against separate global computations using the finite difference method. Finally, we employ the information on sensitivity to optimize the thickness of the outer shell layer in order to maximize the buckling load.

AB - Shell buckling under circumferential strain loading appears often in many biomedical problems, such as collapse of asthmatic airways, esophagus etc. Currently there is no analytic solution from which the critical buckling load can be calculated from the geometrical and material properties of the shell layers. The theoretical analysis leads to the numerical solution of a generalized eigenvalue problem. The purpose of the present paper is to present a method with which the sensitivity of the buckling load (minimum positive eigenvalue) to uncertainties of the geometrical and material parameters can be calculated. It is shown that the sensitivity can be evaluated with the aid of the left (adjoint) eigenvectors. The proposed method is validated against separate global computations using the finite difference method. Finally, we employ the information on sensitivity to optimize the thickness of the outer shell layer in order to maximize the buckling load.

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M3 - Conference paper

SN - 978-0-7918-4925-5

VL - 6

T3 - PROCEEDINGS OF THE ASME PRESSURE VESSELS AND PIPING CONFERENCE 2010, VOL 6, PTS A AND B

SP - 763

EP - 770

BT - Unknown

PB - AMER SOC MECHANICAL ENGINEERS

CY - NEW YORK

T2 - ASME Pressure Vessels and Piping Division/K-PVP Conference

Y2 - 18 July 2010 through 22 July 2010

ER -

BUCKLING SENSITIVITY ANALYSIS AND OPTIMAL DESIGN OF TWO-LAYERED SHELLS UNDER CIRCUMFERENTIAL STRAIN LOAD

Abstract

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