The linear von Kármán equation describing the buckling of an elastic flat plate due to a distributed deformation-dependent load is discussed. It is shown that, in the case of buckling under the influence of an over-passing simple shear flow, a detailed hydrodynamic analysis of the disturbance flow due to the buckling is not necessary, and the eigensolutions can be determined exclusively from the stress field of the unperturbed simple shear flow. Corrections to previous results for a circular membrane patch are made.
Issue Section:
Research Papers
1.
Bloom
, F.
, and Coffin
, D.
, 2001, Handbook of Thin Plate Buckling and Postbuckling
, Chapman and Hall
, London
/CRC
, Boca Raton, FL
.2.
Timoshenko
, S. P.
, and Gere
, J. M.
, 1961, Theory of Elastic Stability
, 2nd ed., McGraw Hill
, New York
.3.
Luo
, H.
, and Pozrikidis
, C.
, 2006, “Buckling of a Flush Mounted Plate in Simple Shear Flow
,” Arch. Appl. Mech.
0939-1533, 76
, pp. 549
–566
.4.
Luo
, H.
, and Pozrikidis
, C.
, 2007, “Buckling of a Pre-Compressed or Pre-Stretched Membrane in Shear Flow
,” Int. J. Solids Struct.
0020-7683, 44
, pp. 8074
–8085
.5.
Luo
H.
, Pozrikidis
, C.
, 2008, “Buckling of a Circular Plate Resting Over an Elastic Foundation in Simple Shear Flow
,” J. Appl. Mech.
0021-8936, 75
(5
), p. 051007
.6.
Pozrikidis
, C.
, 1997, “Shear Flow Over a Protuberance on a Plane Wall
,” J. Eng. Math.
0022-0833, 31
, pp. 29
–42
.Copyright © 2010
by American Society of Mechanical Engineers
You do not currently have access to this content.
