• Coupled systems mechanics
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• 제7권1호
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• pp.27-42
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• 2018

Behavior of soil is usually described with continuum type of failure models such as Mohr-Coulomb or Drucker-Prager model. The main advantage of these models is in a relatively simple and efficient way of predicting the main tendencies and overall behavior of soil in failure analysis of interest for engineering practice. However, the main shortcoming of these models is that they are not able to capture post-peak behavior of soil nor the corresponding failure modes under extreme loading. In this paper we will significantly improve on this state-of-the-art. In particular, we propose the use of a discrete beam lattice model to provide a sharp prediction of inelastic response and failure mechanisms in coupled soil-foundation systems. In the discrete beam lattice model used in this paper, soil is meshed with one-dimensional Timoshenko beam finite elements with embedded strong discontinuities in axial and transverse direction capable of representing crack propagation in mode I and mode II. Mode I relates to crack opening, and mode II relates to crack sliding. To take into account material heterogeneities, we determine fracture limits for each Timoshenko beam with Gaussian random distribution. We compare the results obtained using the discrete beam lattice model against those obtained using the modified three-surface elasto-plastic cap model.

• 한국산학기술학회논문지
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• 제16권7호
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• pp.5009-5014
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• 2015

사질토 지반 위에 놓여 있는 점토지반에 대한 좁은굴착시 간극수압에 의한 융기현상이 발생할 수 있다. 간극수압에 의한 융기현상의 평가는 지반보를 고려해서 하게 되는데 좀 더 엄밀한 평가를 위해서는 지반보에 발생하는 응력분포의 결정이 필요하다. 본 연구에서는 탄성론에 근거하여 지반보에 발생하게 되는 응력분포와 변위분포 산정식을 제시하였다. 지반보의 자중에 의해 지반보내에 발생하는 응력분포를 5차 다항식으로 표현되는 응력함수로부터 유도하였는데 지반보의 깊이에 따른 연직응력의 분포는 포물선 분포를 나타내었으며 연직하향으로 작용함을 알 수 있었다. 단위중량이 $16kN/m^3이고 두께와 폭이 1m인 지반보인 경우 보의 내부에 발생하는 최대 연직응력의 크기는 1.7kPa 정도였다. 지반보 바닥면에 간극수압이 작용하는 경우의 응력분포를 자중에 의한 응력분포에 중첩시켜 구하였는데 지반보 자중의 5배에 해당하는 간극수압이 작용하는 경우 지반보의 깊이를 따라 곡선형태의 연직방향 압축응력분포를 나타내었다. 간극수압이 작용하는 경우에 대해 유도된 지반보의 응력분포로부터 변위분포를 유도하고 그 예측식을 제시하였다.

• Structural Engineering and Mechanics
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• 제38권5호
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• pp.573-592
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• 2011

Comprehensive and accurate analysis of a finite foundation beam is a challenging engineering problem and an important subject in foundation design. One of the limitation of the traditional Winkler elastic foundation model is that the model neglects the effect of the interface resistance between the beam and the underneath foundation soil. By taking the beam-soil interface resistance into account, a deformation governing differential equation for a finite beam resting on the Winkler elastic foundation is developed. The coupling effect between vertical and horizontal displacements is also considered in the presented method. Using Galerkin method, semi-analytical solutions for vertical and horizontal displacements, axial force, shear force and bending moment of the beam under symmetric loads are presented. The influences of the interface resistance on the behavior of foundation beam are also investigated.

• Coupled systems mechanics
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• 제7권1호
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• pp.43-59
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• 2018

The presence of the pore fluid strongly influences the reponse of the soil subjected to external loading and in many cases increases the risk of final failure. In this paper, we propose the use of a discrete beam lattice model with the aim to investigate the coupling effects of the solid and fluid phase on the response and failure mechanisms in the saturated soil. The discrete cohesive link lattice model used in this paper, is based on inelastic Timoshenko beam finite elements with enhanced kinematics in axial and transverse direction. The coupling equations for the soil-pore fluid interaction are derived from Terzaghi's principle of effective stresses, Biot's porous media theory and Darcy's law for fluid flow through porous media. The application of the model in soil mechanics is illustrated through several numerical simulations.

• 한국지반공학회:학술대회논문집
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• 한국지반공학회 2001년도 봄 학술발표회 논문집
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• pp.363-370
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• 2001

A computationally efficient algorithm to analyze a group pile behavior is proposed by consideration of both soil-pile and pile-cap interactions. Using toad transfer method the nonlinear characteristics of the soil-pile interaction for a single pile is modeled by piecewise linear soil springs (p-y, t-z, and q-z curves). Beam-column method, one of the most practical approaches, is used for numerical modeling of the soil-pile system. In addition to the group effect resulting from the soil-pile-soil interaction, for a more realistic analysis it is essential to consider the effect of pile-cap interaction including geometric configuration of the piles in a group and conectivity conditions between piles and the cap. This paper mainly focuses on the pile-cap interaction and the development of a rational numerical procedure of its incorporation with the beam-column method.

• 한국지반공학회논문집
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• 제18권4호
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• pp.285-294
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• 2002

연약지반상에 제방 성토시 예상되는 연약지반의 측방유동을 적극 억지할 수 있는 성토지지말뚝공법은 말뚝두부에 캡을 설치하는 형태에 따라 크게 말뚝슬래브공법, 캡보말뚝공법 및 단독캡말뚝공법으로 구분할 수 있다. 이들 공법중 캡보말뚝공법 및 단독캡말뚝공법에서는 성토지지말뚝과 지반간의 상대적인 강성차이로 인해 성토지반 속에 지반아치가 발생하게 되고, 대부분의 성토하중은 발달된 지반아치를 통해 말뚝으로 전달된다. 두 공법에서 발생되는 지반아치의 차이는 그 형태가 캡보말뚝공법의 경우 터널의 형태와 유사하게 2차원적이고, 단독캡말뚝공법에서는 돔의 형태와 유사하게 3차원적이라는 것이다. 따라서 이 두 경우의 지반아치로 인한 성토지지말뚝의 하중분담효과에 관한 이론식을 각각 유도 제안하여 비교하였으며, 두 이론식의 타당성을 입증하기 위한 일련의 모형실험을 수행하였다.

• Interaction and multiscale mechanics
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• 제4권1호
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• pp.17-34
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• 2011

This paper deals with the modeling of the plane frame structure-foundation-soil system. The superstructure along with the foundation beam is idealized as beam bending elements. The soil medium near the foundation beam with stress concentrated is idealized by isoparametric finite elements, and infinite elements are used to represent the far field of the soil media. This paper presents the modeling of shear wall structure-foundation and soil system using the optimal membrane triangular, super and conventional finite elements. Particularly, an alternative formulation is presented for the optimal triangular elements aimed at reducing the programming effort and computational cost. The proposed model is applied to a plane frame-combined footing-soil system. It is shown that the total settlement obtained from the non-linear interactive analysis is about 1.3 to 1.4 times that of the non-interactive analysis. Furthermore, the proposed model was found to be efficient in simulating the shear wall-foundation-soil system, being able to yield results that are similar to those obtained by the conventional finite element method.

• 한국지하수토양환경학회지:지하수토양환경
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• 제7권3호
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• pp.61-70
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• 2002

난분해성 유기오염물로 오염된 토양 복원을 위한 전자빔 직접조사 공정의 적용가능성을 평가하기 위하여 PAHs 와 PCBs로 오염시킨 토양에 대한 전자빔 조사실험을 수행하였다 전자빔 흡수선량 600kGy에서 PAHs의 제거율은 약 97% 이었고 PCBs는 800kGy에서 약 70%가 제거되었다. PAHs는 PCBs에 비해 낮은 흡수선량에서도 높은 제거율을 나타내었다. 오염물의 분해는 가속된 전자와 물의 반응으로 생성된 반응성 높은 중간생성물에 의한 산화/환원 반응보다는 고에너지 전자와 대상오염물의 직접적인 반응에 기인한다. 전자빔 조사에 의해 난분해성 오염물질로 오염된 토양을 효과적으로 제거할 수 있으나 이를 위해 높은 에너지를 요구하므로 비경제적인 공법이 될 수 있다. 따라서, 전자빔 직접조사 공정보다는 기존 토양복원 공법의 후처리 공정으로 개발하는 것이 경제적이고 실용화 가능할 것으로 판단된다.

• Structural Engineering and Mechanics
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• 제31권4호
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• pp.453-475
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• 2009

The literature regarding the free vibration analysis of Bernoulli-Euler and Timoshenko beams on elastic soil is plenty, but the free vibration analysis of Reddy-Bickford beams on elastic soil with/without axial force effect using the Differential Transform Method (DTM) has not been investigated by any of the studies in open literature so far. In this study, the free vibration analysis of axially loaded Reddy-Bickford beam on elastic soil is carried out by using DTM. The model has six degrees of freedom at the two ends, one transverse displacement and two rotations, and the end forces are a shear force and two end moments in this study. The governing differential equations of motion of the rectangular beam in free vibration are derived using Hamilton's principle and considering rotatory inertia. Parameters for the relative stiffness, stiffness ratio and nondimensionalized multiplication factor for the axial compressive force are incorporated into the equations of motion in order to investigate their effects on the natural frequencies. At first, the terms are found directly from the analytical solutions of the differential equations that describe the deformations of the cross-section according to the high-order theory. After the analytical solution, an efficient and easy mathematical technique called DTM is used to solve the governing differential equations of the motion. The calculated natural frequencies of one end fixed and the other end simply supported Reddy-Bickford beam on elastic soil using DTM are tabulated in several tables and figures and are compared with the results of the analytical solution where a very good agreement is observed and the mode shapes are presented in graphs.

• Structural Engineering and Mechanics
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• 제67권3호
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• pp.311-316
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• 2018

Vibration of concrete beams reinforced by agglomerated silicon dioxide ($SiO_2$) nanoparticles is studied based on numerical methods. The structure is simulated by Euler-Bernoulli beam model and the Mori-Tanaka model is used for obtaining the effective material properties of the structure. The concrete beam is located in soil medium which is modeled by spring elements. The motion equations are derived based on energy method and Hamilton's principle. Based on exact solution, the frequency of the structure is calculated. The effects of different parameters such as volume percent of $SiO_2$ nanoparticles and agglomeration, soil medium and geometrical parameters of beam are shown on the frequency of system. The results show that with increasing the volume percent of $SiO_2$ nanoparticles, the frequency increases.