DYNAMIC STRESSES IN A THICK ELASTIC CYLINDER SUBJECT TO TRANSIENT PRESSURE LOADINGS. VOLUME 1: THEORETICAL ANALYSIS AND DISCUSSION OF RESULTS

The response of a hollow circular cylindrical shell of arbitrary thickness, in either an elastic or a viscoelastic medium, to transient dilatational and shear waves, and their superposition, is presented. The solution is valid within the scope of the linear theory of elasticity or viscoelasticity. T...

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Bibliographic Details
Main Authors: Garnet, Hyman, Crouzet-Pascal, Jacques, Isakson, Gabriel, Pifko, Allan
Format: Report
Language:English
Subjects:
BLAST
CYLINDRICAL BODIES
ELASTIC PROPERTIES
MECHANICAL WAVES
Mechanics
PRESSURE
SCATTERING
SHEAR STRESSES
STRESSES
UNDERGROUND
VISCOELASTICITY
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Summary:The response of a hollow circular cylindrical shell of arbitrary thickness, in either an elastic or a viscoelastic medium, to transient dilatational and shear waves, and their superposition, is presented. The solution is valid within the scope of the linear theory of elasticity or viscoelasticity. The technique for obtaining the solution relies upon (1) the construction of a train of incident pulses from steady-state components, where each pulse represents the time history of the transient stress in the incident wave, and (2) the existence of a physical mechanism that, between pulses, restores the disturbed particles of the cylinder and the surrounding medium to an unstrained state of rest. The influence on the cylinder response of the following factors is discussed: liner thickness, cylinder-medium impedance mismatch, viscoelasticity in the medium, and incident wave form (step pulse, rectangular, triangular, linear rise-exponential decay). See also Volume 2, AD-472864.