A fundamental dual‐zone continuum theory for dynamic soil–structure interaction

Abstract

A continuum theory for an improved characterization of dynamic soil-structure interaction in the framework of three-dimensional elastodynamics is presented. Effective in demonstrating the importance of integrating free-field and near-field effects under general soil and foundation conditions, a compact twozone delineation of the soil medium is proposed as a quintessential mechanics perspective for this class of problems. Sufficient to deliver a practical resolution of some perennial analytical and experimental conflicts, a fundamental formulation commensurate to a gradated unification of the homogenization approach and any sole free-field inhomogeneous representation is developed and implemented computationally. Specialized to the problem of a rigid circular footing on sand, a nominal set of dynamic contact stress distributions and related impedance functions by the dual-zone theory is included for theoretical and engineering evaluation. Through its comparison with benchmark analytical solutions and relevant physical measurements, the usage of the underlying conceptual platform as an advanced yet practical foundation for general dynamic soil-structure interaction is illustrated.

Unified wavefront singularity characterization of three-dimensional elastodynamic time-domain half-space Green's function under impulsive boundary and internal loads

“…Guerra et al [7], Guzina & Chikichev [8], Sohrabi-Bidar et al [9]). In computational modelling, they have also served well as basic analytical benchmarks for the verification of finite-element and meshless methods as well as the theoretical foundation for boundary integral equation approaches in dealing with unbounded-domain wave propagation problems (see Galvin & Romero [10] and Pak & Ashlock [11]). A fundamental characteristic of point-load Green's functions in three-dimensional as well as two-dimensional continua, however, is that they are inherently singular solutions.…”

Effect of a symmetric V‐shaped canyon on the seismic response of an adjacent building under oblique incident SH waves

“…The dynamic soil-structure interaction (DSSI) is a key research topic in the field of earthquake engineering. [1][2][3][4] Numerical research efforts have been devoted into it by using various experimental, [5][6][7] numerical, [8][9][10][11][12][13][14] analytical, 15 or hybrid 16 methods. While experimental and numerical methods can more easily handle complex and realistic configurations, analytical solutions are of intrinsic significance not only for elucidating the underlying physics but also for serving as benchmarks for calibrating numerical results.…”

“…The dynamic soil‐structure interaction (DSSI) is a key research topic in the field of earthquake engineering 1–4 . Numerical research efforts have been devoted into it by using various experimental, 5–7 numerical, 8–14 analytical, 15 or hybrid 16 methods.…”

Analytic resolution of time-domain half-space Green's functions for internal loads by a displacement potential-Laplace-Hankel-Cagniard transform method

“…The interest in the time-domain response of a three-dimensional elastic half-space due to timedependent concentrated or distributed surficial and internal sources has only grown over the years owing to its fundamental role in elastic wave theory, Green's function methods, boundary integral equation formulations as well as its practical relevance to seismology, earthquake engineering, dynamic soil-structure interaction and site characterization (see Aki & Richards [1], Miklowitz [2], Kennett [3], Chapman [4], Gilbert & Helmberger [5], Wolf [6], Triantafyllidis [7], Pak & Ashlock [8], Galvín & Romero [9], Pak & Bai [10]). Since the classic work by Lamb [11] on the transient response of an elastic half-space resulting from suddenly applied normal surface line and point loads, much progress has been made in the solution of this class of elastodynamic problems.…”