Accession Number:

AD0266465

Title:

THERMOELASTIC STABILITY, STRESSES AND DEFLECTIONS OF THIN PLATES

Descriptive Note:

Corporate Author:

LOUVAIN UNIV (BELGIUM)

Personal Author(s):

Report Date:

1961-08-01

Pagination or Media Count:

1.0

Abstract:

An approximate solution of the problem of the stability of an homogeneous simply connected thin plate is given, for any thermal stress distributions assuming the edges to be unrestrained in the plane. Under special conditions this gives a lower bound for the critical level of temperature, when its increase is assumed to incur no change in its relative distribution. Comparison with exact solutions for circular plates gives excellent verifications. A reasonably simple method is also described to study post-buckling behavior when the temperature has increased beyond its critical level it gives the changing pattern of stress distrib tion and, less directly, the changing shapes and amplitudes of deflection. The effect of initial deflections is studied and an approximate method developed, suggested by previously used properties of Airy functions at critical levels. Practical application is here far more cumbersome. The effect of restrictions at the edges are taken care of by applying an approximate formula which makes use of the critical levels of temperature determined without them. Author

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE