Large Deflections of a Linearly Viscoelastic Shallow Spherical Shell

[+] Author and Article Information
A. L. Deák

Mathematical Sciences Northwest, Inc., Seattle, Wash.

J. Appl. Mech 39(2), 469-474 (Jun 01, 1972) (6 pages) doi:10.1115/1.3422702 History: Received January 15, 1971; Online July 12, 2010


Numerical solutions for the time history of motion of a shallow viscoelastic spherical shell are presented under large deformations. Axisymmetric motion is considered due to uniform pressure with arbitrary time variation. The dynamic viscoelastic buckling load is established by comparing long-time equilibrium states due to small changes in the applied pressure. The problem is formulated as a coupled pair of nonlinear integro-differential equations which is solved by Newton’s method.

Copyright © 1972 by ASME
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