
Accession Number : AD0709726
Title : STRESS WAVES IN A SOILFILLED CYLINDRICAL SHELL.
Descriptive Note : Final rept.,
Corporate Author : WEIDLINGER (PAUL) NEW YORK
Personal Author(s) : Kovarna,John ; Bleich,Hans H.
Report Date : MAY 1970
Pagination or Media Count : 109
Abstract : An approximate solution to the problem of transient longitudinal wave propagation in a semiinfinite cylindrical body of elastoplastic material restrained radially by a stackedring shell and subjected to a normal pressure at the end is obtained by a Galerkin technique using the radial coordinate as an expansion parameter. In order to get equations applicable to numerical computations the expansions are truncated to the leading term in each variable. This truncation creates a mathematical problem when elastic and plastic regions occur along the same radial line. A finitedifference scheme is used to solve the differential equations resulting from application and truncation of the Galerkin expansion. A special method for handling the boundary between elastic and plastic regions along the same radial line is developed in conjunction with this numerical solution. Numerical results of the finitedifference scheme are presented for several variations in such parameters as shell stiffness and material constants. For the purpose of evaluating the results of the truncation to the leading term in each expansion, the analogous problem is formulated for a linear inviscid fluid and solved twice, once with a truncation to the first term and once carrying two terms in each expansion. The numerical results are presented for these two solutions so that the change in the solution caused by the truncation can be evaluated. (Author)
Descriptors : (*SOILS, SHOCK WAVES), (*SHELLS(STRUCTURAL FORMS), STRESSES), LOADS(FORCES), CYLINDRICAL BODIES, NUMERICAL METHODS AND PROCEDURES, SOIL MECHANICS, PARTIAL DIFFERENTIAL EQUATIONS, NUMERICAL INTEGRATION
Subject Categories : Soil Mechanics
Structural Engineering and Building Technology
Distribution Statement : APPROVED FOR PUBLIC RELEASE