Accession Number:

AD0256457

Title:

TRANSIENT COUPLED THERMOPLASTIC BOUNDARY VALUE PROBLEMS IN THE HALF-SPACE

Descriptive Note:

Corporate Author:

COLUMBIA UNIV NEW YORK INST OF FLIGHT STRUCTURES

Personal Author(s):

Report Date:

1961-04-01

Pagination or Media Count:

1.0

Abstract:

The propagation of mechanical and thermal disturbances in a half-space is studied by means of the solution of some transient boundary-value problems according to the coupled thermoelastic theory. The problems considered are those of a half-space under step time-variations of strain, temperature or stress uniformly distributed over the free surface. The coupled solution of Danilovskayas problem is thus included. The solution is obtained by the use of Fourier sine transforms, and the behaviors at short and long times, as well as the propagation of discontinuities, are studied. The principal differences between the present results and analogous ones derived by neglecting thermoelastic coupling are found to be 1 mechanical discontinuities are not propagated unchanged in magnitude, but decrease exponentially with time because of the effect of thermoelastic damping though the speed of their propagation is unaltered, 2 mechanical responses occur instantaneously at all points of the body but are very small at large distances from the free surface, and 3 the temperature distribution is still continuous but exhibits jumps either in its first or second derivative. Author

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Distribution Statement:

APPROVED FOR PUBLIC RELEASE