Transient Plane-Strain Response of Multilayered Elastic Cylinders to Axisymmetric Impulse

[+] Author and Article Information
X. C. Yin

Department of Applied Mechanics, Nanjing University of Science and Technology, Nanjing 210014, P. R. Chinae-mail: yinxch@mail.njust.edu.cn

Z. Q. Yue

Department of Civil Engineering, The University of Hong Kong, Pokfulam Road, Hong Kong, P. R. Chinae-mail: yueqzq@hkucc.hku.hk

J. Appl. Mech 69(6), 825-835 (Oct 31, 2002) (11 pages) doi:10.1115/1.1505625 History: Received June 20, 2001; Revised March 06, 2002; Online October 31, 2002
Copyright © 2002 by ASME
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Grahic Jump Location
Geometry and coordinate system of the multilayered cylinder
Grahic Jump Location
Spatial variations of the radial displacement and the radial and circumferential stress obtained using the exact solution (19) (solid line) and the approximate solution (20) (dashed line) at the time t̄=1 for a two-layered circular cylinder (the thick line for n=2000; the moderately line for n=3; and the thin line n=1)
Grahic Jump Location
Time histories of the radial stress (a) and the circumferential stress (b) at the interfaces of a seven-layered circular cylinder (n=2000)
Grahic Jump Location
Spatial distributions of the radial displacements at different time for seven-layered circular cylinders where (a) for h1/a1=10 and (b) for h1/a1=1(n=2000)
Grahic Jump Location
Spatial distributions of the stresses at different time for seven-layered circular cylinders where (a) for h1/a1=10, and (b) for h1/a1=1; the solid lines for the circumferential stress and the dashed lines for the radial stress
Grahic Jump Location
Spatial distributions of the radial displacement and the stresses for a seven-layered circular cylinder with h1/a1=0.1 where the solid lines for the circumferential stress and the dashed lines for the radial stress; n=2000;①: t̄=1+1/32,②: t̄=2+1/32,③: t̄=5+1/32,④: t̄=10+1/32,⑤: t̄=20+1/32,⑥: t̄=100+1/32,⑦: t̄=200+1/32
Grahic Jump Location
Variation of the relative wave front height with the decreasing of the acoustic impedance ratio for a seven layered cylinder (n=2000)




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