Review, classification, and extension of classical soil-structure interaction models based on different superstructures and soils

摘要

This paper focuses on reviewing some classical soil-structure interaction models (SIMs) based on different superstructures and soils and strives to establish the relations between the soils and SIMs according to the American Society for Testing and Materials (ASTM) D2487-11 standard for soil classification. The SIMs with different superstructures, such as beams, plates, and shells, are reviewed. Since the mechanics properties of the superstructures are important, theories of the classical beams, plates, and shells are reviewed. The mechanics properties of several element-specific soils in the ASTM D2487-11 standard are revealed and utilized to establish the relations between the soils and SIMs. A generalized SIM that can be reduced to many classical SIMs is used to classify the existing SIMs with different superstructures. Based on the soil mechanics theory, some new explanations in this work provide some insights into the classical SIMs, e.g., the Pasternak model. Soil elasticity is divided into transverse elasticity and torsional elasticity, and the explanations are provided based on the soil mechanics theory. The Winkler-Terzaghi model that combines the Winkler and Terzaghi models is developed to illustrate the SIMs. Based on the combined Winkler-Terzaghi model, some new SIMs are created for the specific soils in ASTM D2487-11. Based on the extended Hamilton's principle, the forced vibration equations of the SIMs are created. The relations between soil classification and the SIMs established in this work can facilitate selection of an appropriate SIM for design and research in civil engineering, mechanical engineering, and petroleum engineering.