Model for Wave Motions in Axisymmetric Continua

by Alfredo H.-S. Ang,
Johann H. Rainer,


Serial Information: Journal of the Engineering Mechanics Division, 1964, Vol. 90, Issue 2, Pg. 195-226


Document Type: Journal Paper

Abstract:

Problems involving stress wave propagation in higher dimensional solids are extremely complex from an analytical standpoint. A numerical approach to these problems in axially symmetrical solids is proposed that involves the use of a lumped-parameter physical model. The model is shown to be mathematically consistent, in a central finite difference context, with the classical theory of axially symmetric solid continua. A number of numerical problems that are associated with the prediction of elastic earth motions resulting from blast loadings are presented to demonstrate the capabilities of the proposed approach.



Subject Headings: Motion (dynamics) | Axisymmetry | Symmetry | Mathematical models | Physical models | Stress waves | Numerical methods | Stress analysis | Wave propagation

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