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Title: A general theory of stresses and displacements in elastic and viscoelastic layered systems
Authors: Chou, Yu T.
Keywords: Pavements--Mathematical models
Strains and stresses
Mathematical models
Publisher: U.S. Army Engineer Waterways Experiment Station
Series/Report no.: Miscellaneous Paper (U.S. Army Engineer Waterways Experiment Station) ; M-69-8
Abstract: A multilayered, linear, elastic, and viscoelastic half space under stationary and moving axisymmetric loads is analyzed. Solutions are presented for normal stress, radial stress, tangential stress, shear stress, vertical deflection, and radial displacement at any point within the half space. The elastic solutions are obtained by Love's stress function and the Fourier-Hankel transform; the viscoelastic solutions, based on the elastic-viscoelastic correspondence principle, are obtained by applying the Laplace transformation to replace the time variable with a transformed variable. The time-dependent problem is then changed to an associated elastic problem. Inversion of the solution of the associated elastic problem into the real time variable solves the viscoelastic problem. By neglecting the inertia effect, the static viscoelastic solution has been extended to the moving load case. Numerical examples are given to illustrate the response of the materials to a normal point load. Such an analysis is believed to be an essential step in the development of a rational method for designing airport and highway flexible pavements.
Description: Miscellaneous Paper
Gov't Doc #: Miscellaneous Paper M-69-8
Rights: Approved for Public Release; Distribution is Unlimited
Size: 36 pages / 4.11 MB
Types of Materials: PDF
Appears in Collections:Miscellaneous Paper

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