Elastic Foundation Representation of Continuum

by 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

Abstract: 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 analysis | Elastic foundations | Continuum mechanics | Parameters (statistics) | Beams | Structural models | Case studies | Curvature |

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