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Dynamic Soil Pressures on Rigid Vertical Walls in Presence of Generalized Inhomogeneous Soils
The problem of evaluating the dynamic pressures and the associated forces that are induced by ground shaking on rigid vertical walls is revisited. This study develops a novel benchmark semi‐analytical elastodynamic model for the dynamic response of rigid walls. It extends the pioneering work of Veletsos and Younan in 1994 to treat generalized inhomogeneous backfills. The soil is treated as an approximate continuum of the Tajimi type. This approximation lies in reducing the two elastodynamic equations that govern the soil motion under plane strain conditions to one, that satisfies the equilibrium in the horizontal direction. The soil inhomogeneity is introduced via a power law variation of shear modulus with depth, and is tackled by employing simple trigonometric shape functions. The eigenvalues and the corresponding soil modes are now obtained by solving a generalized eigenvalue problem. Solutions are developed for a single rigid wall retaining an infinitely long soil layer over bedrock and for a pair of two rigid walls retaining a finite‐length backfill. The results are presented in terms of dynamic horizontal pressures, base moments, and shear forces. The effects of both harmonic and earthquake‐induced excitation are investigated. Additional expressions for the horizontal and vertical soil displacements and the shear stresses are derived. The model's predictions are found to be in good agreement with the results from finite element (FE) analyses and existing analytical models. A solution for the one‐dimensional harmonic response of an inhomogeneous soil stratum is also provided, enabling the evaluation of free‐field response.
Dynamic Soil Pressures on Rigid Vertical Walls in Presence of Generalized Inhomogeneous Soils
The problem of evaluating the dynamic pressures and the associated forces that are induced by ground shaking on rigid vertical walls is revisited. This study develops a novel benchmark semi‐analytical elastodynamic model for the dynamic response of rigid walls. It extends the pioneering work of Veletsos and Younan in 1994 to treat generalized inhomogeneous backfills. The soil is treated as an approximate continuum of the Tajimi type. This approximation lies in reducing the two elastodynamic equations that govern the soil motion under plane strain conditions to one, that satisfies the equilibrium in the horizontal direction. The soil inhomogeneity is introduced via a power law variation of shear modulus with depth, and is tackled by employing simple trigonometric shape functions. The eigenvalues and the corresponding soil modes are now obtained by solving a generalized eigenvalue problem. Solutions are developed for a single rigid wall retaining an infinitely long soil layer over bedrock and for a pair of two rigid walls retaining a finite‐length backfill. The results are presented in terms of dynamic horizontal pressures, base moments, and shear forces. The effects of both harmonic and earthquake‐induced excitation are investigated. Additional expressions for the horizontal and vertical soil displacements and the shear stresses are derived. The model's predictions are found to be in good agreement with the results from finite element (FE) analyses and existing analytical models. A solution for the one‐dimensional harmonic response of an inhomogeneous soil stratum is also provided, enabling the evaluation of free‐field response.
Dynamic Soil Pressures on Rigid Vertical Walls in Presence of Generalized Inhomogeneous Soils
Della Corte, Armando (author) / Letizia, Nunzia (author) / Tsikas, Aggelos (author) / François, Stijn (author) / Anoyatis, George (author)
Earthquake Engineering & Structural Dynamics ; 54 ; 1342-1360
2025-04-01
19 pages
Article (Journal)
Electronic Resource
English
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