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Soil‐Structure Interaction — Generalization of Reissner's Solution for the Viscoelastic Halfspace
Author(s) -
Gaul L.
Publication year - 2000
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/(sici)1521-4001(200001)80:1<69::aid-zamm69>3.0.co;2-3
Subject(s) - foundation (evidence) , boundary value problem , viscoelasticity , vibration , mathematics , mathematical analysis , boundary element method , physics , geometry , finite element method , law , quantum mechanics , political science , thermodynamics
The paper is devoted to Professor Eric Reissner's initation of halfspace theory for soil interacting with a vibrating foundation. His interest in vibration problems was fostered by his father H. R eissner and A. H ertwig in Berlin. Aiming at the interpretation of Degebo (Institute of Soil Mechanics) machine vibration tests, E. R eissner generalized the halfspace theory for point loads by H. L amb and calculated the frequency response function of a circular foundation on soil. His solution of the associated stress boundary value problem contains the so‐called radiation damping. The publication (Ingenieur‐Archiv 1936) became the classic paper in the field. It was not until 1955 that the halfspace theory was confirmed by experimental results after A rnold et al. corrected a sign mistake. A generalization of Reissner's solution for the viscoelastic halfspace excited on a rectangle is presented. The obtained Green's functions lead to the solution of mixed boundary value problems for rigid foundation slabs. The interaction of adjacent slabs can be treated by superposition as well. A link between Reissner's halfspace theory and boundary element formulations of general soil‐structure interaction problems is provided.