• Geomechanics and Engineering
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• 제4권3호
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• pp.173-190
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• 2012

With recent growing interests in the Performance-Based Seismic Design and Assessment Methodology, more realistic modeling of a structural system is deemed essential in analyzing, designing, and evaluating both newly constructed and existing buildings under seismic events. Consequently, a shallow foundation element becomes an essential constituent in the implementation of this seismic design and assessment methodology. In this paper, a contact interface fiber section element is presented for use in modeling soil-shallow foundation systems. The assumption of a rigid footing on a Winkler-based soil rests simply on the Euler-Bernoulli's hypothesis on sectional kinematics. Fiber section discretization is employed to represent the contact interface sectional response. The hyperbolic function provides an adequate means of representing the stress-deformation behavior of each soil fiber. The element is simple but efficient in representing salient features of the soil-shallow foundation system (sliding, settling, and rocking). Two experimental results from centrifuge-scale and full-scale cyclic loading tests on shallow foundations are used to illustrate the model characteristics and verify the accuracy of the model. Based on this comprehensive model validation, it is observed that the model performs quite satisfactorily. It resembles reasonably well the experimental results in terms of moment, shear, settlement, and rotation demands. The hysteretic behavior of moment-rotation responses and the rotation-settlement feature are also captured well by the model.

• Structural Engineering and Mechanics
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• 제81권3호
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• pp.379-394
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• 2022

Shallow footings usually belonged to the category of thick plate structures. For accurate analysis of thick plates, the contribution of out-of-plane components of the stress tensor should be considered in the formulation. Most of the available shallow footing models are based on the classical plate theories, which usually neglect the effects of the out-of-plane stresses. In this study, a mixed-field plate finite element model (FEM) is developed for the analysis of shallow footings rested on soil foundations. In addition to displacement field variables, the out-of-plane components of the stress tensor are also assumed as a priori unknown variables. For modeling the interaction effect of the soil under and outside of the shallow footings, the modified Vlasov theory is used. The tensionless nature of the supporting soil foundation is taken into account by adopting an incremental, iterative procedure. The equality requirement of displacements at the interface between the shallow footing and soil is fulfilled using the penalty approach. For validation of the present mixed FEM, the obtained results are compared with the results of 3D FEM and previous results published in the literature. The comparisons show the present mixed FEM is an efficient and accurate tool for solving the problems of shallow footings rested on subsoil.

• Coupled systems mechanics
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• 제12권5호
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• pp.461-479
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• 2023

The paper deals with the finite element modelling of the free vibration and structural behavior of a particular four-floor reinforced concrete structure subjected to static equivalent seismic loads and supported by a shallow foundation system called SNSF (Spider Net System Footing). The two FE models are a simple 2D Matlab model and a detailed 3D model based on solid elastic elements using Altairworks (Hypermesh and Optistruct). Both models can simulate the soil structure interaction. We concentrate on the behavior of a representative cell involving two columns on five levels. The influence of the boundary conditions on the external vertical planes of the domain are duly studied. The Matlab model appears relevant for a primary estimation of frequencies and stiffness of the whole structure under vertical and lateral loads.

• Earthquakes and Structures
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• 제25권2호
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• pp.135-148
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• 2023

The structure-soil-structure interaction (SSSI) effect in adjacent structures may affect the liquefaction-induced damage of shallow foundation structures. The existing studies only analysed the independent effects on the structural dynamic response but ignored the coupling effect of height difference and distance of adjacent structures (F) on liquefied foundations on the dynamic response. Therefore, this paper adopts finite element and finite difference coupled dynamic analysis method to discuss the effect of the F on the seismic response of shallow foundation structures. The results show that the effect of the short structure on the acceleration response of the tall structure can be neglected as F increases when the height difference reaches 2 times the height of the short structure. The beneficial effect of SSSI on short structures is weakened under strong seismic excitations, and the effect of the increase of F on the settlement ratio gradually decreases, which causes a larger rotation hazard. When the distance is smaller than the foundation width, the short structure will exceed the rotation critical value and cause structural damage. When the distance is larger than the foundation width, the rotation angle is within the safe range (0.02 rad).

• Geomechanics and Engineering
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• 제24권2호
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• pp.193-203
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• 2021

The time-history finite element analysis is usually used to evaluate the seismic response of shallow foundations. However, the literature lacks studies on the influence of the soil constitutive model complexity on the seismic response of shallow foundations. This study, thus, aims to fill this gap by investigating the seismic response of shallow foundation resting on dry silica sand using the linear elastic (LE) model, elastic-perfectly-plastic (EPP) model, and hardening soil with small strain stiffness (HS small) model. These models have been used because it is intended to compare the results of a soil constitutive model that accurately captures the seismic response of the soil-structure interaction problems (which is the HS small model) with simpler models (the LE and EPP models) that are routinely used by practitioners in geotechnical designs. The results showed that the LE model produces a very small seismic settlement value which is approximately equal to zero. The EPP model predicts a seismic settlement higher than that produced using the HS small model for earthquakes with a peak ground acceleration (PGA) lower than 0.25 g for a relative density of 45% and 0.40 g for a relative density of 70%. However, the HS small model predicts a seismic settlement higher than the EPP model beyond the aforementioned PGA values with the difference between both models increases as the PGA rises. The results also showed that the LE and EPP models predict similar trend and magnitude of the acceleration-time relationship directly below the foundation, which was different than that predicted using the HS small model. The results reported in this paper provide a useful benchmark for future numerical studies on the response of shallow foundations subjected to seismic shake.

• Geomechanics and Engineering
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• 제14권4호
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• pp.377-386
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• 2018

This paper focuses on the development of a new non-linear macro-element for the modelling of soil-foundation interaction. Material and geometrical nonlinearities (soil yielding and foundation uplift respectively) are taken into account in the present macro-element to examine the response of shallow foundations under monotonic and cyclic loads. Several applications of soil-foundation systems are studied. The results obtained from these applications are in very favourable agreement with those obtained through other numerical models in the literature.

• 한국지반공학회논문집
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• 제35권3호
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• pp.17-24
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• 2019

본 연구는 지반 위 얕은 기초의 지지력에 대한 특성을 파악하기 위하여 지반 조건, 기초 크기, 기초 형상 등의 다양한 조건에 대하여 3차원 유한요소해석을 수행하여 기존의 지지력 이론과 비교 검토하였다. 유한요소해석 결과 극한지지력은 기초크기에 따라 지지력이 거듭제곱이나 로그 식으로 차츰 수렴하였고, 지반강도가 증가할수록 지지력 증가가 커지지 않는 직선적인 변화를 보였다. 기존 지지력 이론과 비교한 결과 순수모래는 지지력 비($q_{FEA}/q_{theory}$)가 Terzaghi식의 결과와 가장 유사하였다. 순수점토는 약 0.4~0.6, 일반토사는 0.3~1.3 정도로 산정되었고, 지반강도가 증가할수록 지지력 비가 감소하면서 1.0 이하로 나타났다. 기초 크기에 따른 지지력을 1.0m 기초의 지지력으로 정규화시킨 지지력 비($q_u/q_{u(1.0)}$)는 순수모래에서 ${\phi}=25^{\circ}$, $30^{\circ}$, $35^{\circ}$일 때 이론식의 35%, 15%, 5% 정도로 산정되었고, 순수점토는 크기 효과가 없었으며, 일반토사는 지반강도가 작은 경우에 순수모래의 이론식에 대해 약 10% 이하로 나타났다. 지반강도 증가에 따른 지지력 비는 내부마찰각의 영향이 큰 것으로 나타났다. 기초형상별 지지력 비에 따른 형상계수는 기초형상에 따라 다르게 나타났고, 원형기초는 1.5, 정사각형 기초는 1.3, 직사각형 기초와 연속 기초는 1.1~1.0의 형상계수를 나타내었다.

• Coupled systems mechanics
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• 제4권4호
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• pp.365-383
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• 2015

Strip footing is an important type of shallow foundations and is commonly used beneath the walls. Analysis of shallow foundation involves the determination of stresses and deformations. Element free Galerkin method, one of the important mesh free methods, is used for the determination of stresses and deformations. Element free Galerkin method is an efficient and accurate method as compared to finite element method. The Element Free Galerkin method uses only a set of nodes and a description of model boundary is required to generate the discrete equation. Strip footing of width 2 m subjected to a loading intensity of 200 kPa is studied. The results obtained are agreeing with the values obtained using analytical solutions available in the literature. Parametric study is done and the effect of modulus of deformation, Poisson's ratio and scaling parameter on deformation and stresses are determined.

• 한국지반공학회논문집
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• 제31권7호
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• pp.29-39
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• 2015

버킷기초에 작용하는 수직하중의 일부는 내부 흙을 통해 저면으로 나머지는 스커트 외주면과 지반 사이로 전달된다. 사질토 지반에 설치된 버킷기초의 설계를 위해서는 수직 하중전이 특성을 명확하게 규명해야 하나 아직 이에 대한 연구가 수행되지 않았다. 본 연구에서는 2차원 축대칭 유한요소해석을 수행하여 사질토 지반에 설치된 버킷기초의 수직하중에 대한 지반의 응답을 계산하였다. 극한 상태에서 버킷기초의 선단지지력은 얕은기초의 지지력보다 크며 주면마찰력은 말뚝의 설계식에 비하여 작은 것으로 나타났다. 선단지지력은 스커트 외주면에 작용하는 전단응력이 파괴면을 아래로 밀어내어 파괴면이 확장되기 때문에 얕은기초에 비하여 큰 것으로 분석되었다. 반면 주면마찰력은 침하가 진행되면서 버킷기초 하부의 흙이 수평방향으로 밀려 이동하면서 스커트에 작용하는 수평응력이 감소하기 때문에 작은 것으로 나타났다. 버킷기초의 극한지지력은 얕은기초의 선단지지력과 주면마찰력 설계식을 합한 값보다 큰 것으로 계산되었다. 이는 주면마찰력은 설계식보다 작지만 크기가 선단지지력에 비하여 매우 작아 지지력에 큰 영향을 미치지 않는 반면 선단지지력은 주면마찰력에 비하여 증가폭이 크기 때문이다.

• 한국지반공학회:학술대회논문집
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• 한국지반공학회 2010년도 추계 학술발표회
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• pp.201-204
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• 2010

Earthquake load to design a structure has been calculated from a fixed base SDOF model using amplified surface accelerations along soft soil layers. But the method dose not consider a soil-structure interaction. Centrifugal experiments that were consisted of soil, a shallow foundation and a structure were performed to find the effects of soil-structure interaction. The experiments showed that mass and stiffness of the foundation affected a response of the structure and nonlinear behavior of soil near the foundation. And a rocking displacement caused by overturning moment affected the response and increases a damping effect. In this study, the centrifugal experiment was simulated as a two dimensional finite element model. The finite element model was used for nonlinear time domain analysis of the OpenSees program. The numerical model accurately evaluated the behaviors of soil and the foundation, but the rocking effect and the behavior of structure were not described.