Elastic Foundation Representation of Continuumby David Q. Fletcher, Grad. Student; Dept. of Civ. Engrg., Univ. of California, Davis, CA,
Leonard R. Hermann, (M.ASCE), Prof. of Civ. Engrg.; Univ. of California, Davis, CA,
Serial Information: Journal of the Engineering Mechanics Division, 1971, Vol. 97, Issue 1, Pg. 95-107
Document Type: Journal Paper
The representation of an elastic continuum as an elastic foundation for beams is considered. Relationships between the elastic foundation parameters and the elastic constants of the material are developed. One- (Winkler model), two-, and three-parameter foundation models are considered for the cases of infinite, semi-infinite, and finite length beams encased in infinite elastic bodies or supported by semi-infinite elastic bodies. Curves relating the model parameters to the elastic constants are given for a wide range of materials. Comparisons are made of results obtained by representing the supporting material as (1) an elastic foundation and (2) a three-dimensional elastic continuum.
Subject Headings: Elastic foundations | Elastic analysis | Continuum mechanics | Parameters (statistics) | Structural models | Beams | Curvature | Case studies
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