A solution method using realistic (broad-band) viscoelastic response characteristics covering approximately ten decades of logarithmic time is presented for wave propagation in two-dimensional geometries. A Dirichlet series representation of the viscoelastic mechanical properties and a numerical collocation inversion procedure overcome many of the computational difficulties associated with the Laplace-transform approach to dynamic linear viscoelasticity and also afford a complete time solution. Stress distributions are given for two complementary cases, (a) the viscoelastic half-space subjected on the upper surface to the steady motion of a step pressure load moving supersonically relative to any wave speed in the material, and (b) the semi-infinite thin plate similarly loaded on its edge.
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Two-Dimensional Wave Propagation in Realistic Viscoelastic Materials
R. J. Arenz
Firestone Flight Sciences Laboratory, Graduate Aeronautical Laboratories, California Institute of Technology, Pasadena, Calif.
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Arenz, R. J. (June 1, 1965). "Two-Dimensional Wave Propagation in Realistic Viscoelastic Materials." ASME. J. Appl. Mech. June 1965; 32(2): 303–314. https://doi.org/10.1115/1.3625800
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