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In this paper, the general expressions for stress are derived for multilayer systems which satisfy the conditions of plane strain. To illustrate the procedures involved, expressions for stress are derived for a two-layer system, subjected to a surface line or strip load. Each layer is considered to be an elastic solid. The upper layers are considered to be of finite depth, but of infinite horizontal extent, and the lowest layer of infinite depth and horizontal extent. The general equations developed herein may be used to calculate the stresses in the supporting layered media for embankments, continuous footings, pavement systems, compressor-station foundation mats, canals, etc., if the supporting media can be approximately represented as a two-layer plane strain system. Expressions for stress are developed for conditions at the interface of perfect continuity and zero friction. Such a system permits an analytical solution to many problems of engineering importance. The proce dures employed are by no means limited to a two-layer systems. The three and four layer cases maybe solved with little additional difficulty with the aid of a digital computer.
In this paper, the general expressions for stress are derived for multilayer systems which satisfy the conditions of plane strain. To illustrate the procedures involved, expressions for stress are derived for a two-layer system, subjected to a surface line or strip load. Each layer is considered to be an elastic solid. The upper layers are considered to be of finite depth, but of infinite horizontal extent, and the lowest layer of infinite depth and horizontal extent. The general equations developed herein may be used to calculate the stresses in the supporting layered media for embankments, continuous footings, pavement systems, compressor-station foundation mats, canals, etc., if the supporting media can be approximately represented as a two-layer plane strain system. Expressions for stress are developed for conditions at the interface of perfect continuity and zero friction. Such a system permits an analytical solution to many problems of engineering importance. The proce dures employed are by no means limited to a two-layer systems. The three and four layer cases maybe solved with little additional difficulty with the aid of a digital computer.
Stresses in Layered Elastic Solids
Lemcoe, M. M. (author)
Transactions of the American Society of Civil Engineers ; 126 ; 194-215
2021-01-01
221961-01-01 pages
Article (Journal)
Electronic Resource
Unknown
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