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THE PROPAGATION AND REFLECTION OF STRESS PULSES IN LINEAR VISCOELASTIC MEDIA
BROWN UNIV PROVIDENCE R I DIV OF APPLIED MATHEMATICS
A number of aspects of the propagation of stress pulses in real viscoelastic solids are discussed. A digital computer was used to carry out calculations on four specific types of problems 1 the relation between the shapes of a viscoelastic pulse with respect to particle velocity, strain and stress, 2 the determination of the response of a viscoelastic solid to sinusoidal stresses from observations of the change in the shape of a pulse as it travelsALONG A ROD OF THE MATERIAL, 3 the reflection of a pulse at the boundary between two viscoelastic rods and in particular the unusual reflected pulse shapes that can occur when the viscoelastic properties of the two rods are such that the junction between the rods behaves as a fixed boundary in one frequency range and as a free boundary in another range of frequencies, and 4 the oblique reflection of plane distortional and dilatational pulses at the free boundary of a viscoelastic solid. Author