ISSN:
1573-2681
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
,
Physics
Notes:
Abstract In this paper, the behavior of the solution of the time-dependent linearized equation of dynamic elasticity is examined. For the homogeneous problem, it is proved that in the exterior of a star-shaped body on the surface of which the displacement field is zero, the solution decays at the rate t -1 as the time t tends to infinity. For the non-homogeneous problem with a harmonic forcing term, it is proved that for large times, the elastic material in the exterior of the body, tends to a harmonic motion, with the period of the external force. The convergence to the steady harmonic state solution is at the rate t -1/2 as t tends to infinity, and is uniform on bounded sets.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00041623
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