• Interaction and multiscale mechanics
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• 제2권3호
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• pp.321-332
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• 2009

Recent development in composites containing phase-transforming particles, such as vanadium dioxide or barium titanate, reveals the overall stiffness and viscoelastic damping of the composites may be unbounded (Lakes et al. 2001, Jaglinski et al. 2007). Negative stiffness is induced from phase transformation predicted by the Landau phase transformation theory. Although this unbounded phenomenon is theoretically supported with the composite homogenization theory, detailed stress analyses of the composites are still lacking. In this work, we analyze the stress distribution of the Hashin-Shtrikman (HS) composite and its two-dimensional variant, namely a circular inclusion in a square plate, under the assumption that the Young's modulus of the inclusion is negative. Assumption of negative stiffness is a priori in the present analysis. For stress analysis, a closed form solution for the HS model and finite element solutions for the 2D composite are presented. A static loading condition is adopted to estimate the effective modulus of the composites by the ratio of stress to average strain on the loading edges. It is found that the interfacial stresses between the circular inclusion and matrix increase dramatically when the negative stiffness is so tuned that overall stiffness is unbounded. Furthermore, it is found that stress distributions in the inclusion are not uniform, contrary to Eshelby's theorem, which states, for two-phase, infinite composites, the inclusion's stress distribution is uniform when the shape of the inclusion has higher symmetry than an ellipse. The stability of the composites is discussed from the viewpoint of deterioration of perfect interface conditions due to excessive interfacial stresses.

• 지질공학
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• 제4권1호
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• pp.1-12
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• 1994

일반적으로 암반에는 크고작은 크랙들이 많이 분포하고있다. 이들 크랙들은 그 암반의 역학적 거동에 크게 영향을 미친다는 것은 알려진 사실이다. 본 연구에서는 암반의 역학적 거동에 미치는 크랙의 기하학적 영향과 그 크랙에 집중하는 응력의 크기가 해석되었다. 이를 위해, 모델실험으로서 여러 크랙셀을 가지는 모르타르 공시체를 제작하였으며, 이들 공시체을 가지고 일축압축실험을 실시하였다. 실험도중 크랙의 발생과 지전을 직접 그리고 연속적으로 관찰하기위해 비데이시스템이 설치되었다. 또한 응력-변형 곡선 역시 퍼스날 컴퓨터에의해 기록되었다. 이들의 수치해석은 유한요소법과 균질화 이론에 의해 해석되었다.이들 해석친느 암반중에 분포하는 크랙의 진전 메카니즘과 역학성을 정량적으로 잘 설명해준다.

• 자원환경지질
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• 제27권5호
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• pp.499-505
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• 1994

기존 미소결함에서의 국소적 응력집중은 새로운 미시적 손상의 원인이 되고, 이러한 미시적 손상은 또한 거시적 손상으로 발달하게 된다. 이들 미시적 손상에서 거시적 손상으로의 바달은 그 암석 및 암반의 변형특성으로 나타난다. 지금까지 응력하에서의 미소크랙의 거동에 대한 연구는 많이 되어왔으나, 실제암석의 파괴전 상태에서 미소크랙거동에 대한 역학적 해석은 아직 미비한 실정이다. 본 연구에서는 새로이 개발한 시험장치에 의한 정밀한 관찰로 손상 발달에 대한 이해를 더하였으며, 수학적 균질화 이론에 의해 수치해석 함으로서 그 역학성을 검토하였다.

• Steel and Composite Structures
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• 제28권5호
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• pp.589-606
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• 2018

The previous studies reflected the significant effect of neutral-axis position and coupling of in-plane and out-of-plane displacements on behavior of functionally graded (FG) nanobeams. In thin FG beam, this coupling can be eliminated by a proper choice of the reference axis. In shear deformable FG nanobeam, not only this coupling can't be eliminated but also the position of neutral-axis is dependent on through-thickness distribution of shear strain. For the first time, in this paper it is avoided to guess a shear strain shape function and the exact shape function and consequently the exact position of neutral axis for arbitrary gradation of higher order nanobeam are obtained. This paper presents new methodology based on differential transform and collocation methods to solve coupled partial differential equations of motion without any simplifications. Using exact position of neutral axis and higher order beam kinematics as well as satisfying equilibrium equations and traction-free conditions without shear correction factor requirement yields to better results in comparison to the previously published results in literature. The classical rule of mixture and Mori-Tanaka homogenization scheme are considered. The Eringen's nonlocal continuum theory is applied to capture the small scale effects. For the first time, the dependency of exact position of neutral axis on length to thickness ratio is investigated. The effects of small scale, length to thickness ratio, Poisson's ratio, inhomogeneity of materials and various end conditions on vibration and buckling of local and nonlocal FG beams are investigated. Moreover, the effect of axial load on natural frequencies of the first modes is examined. After degeneration of the governing equations, the exact new formulas for homogeneous nanobeams are computed.

• 인터넷정보학회논문지
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• 제18권5호
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• pp.95-102
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• 2017

인터넷이 발달하면서 SNS 시장에서의 서비스간 경쟁이 치열해지고 있다. 이에 따라 SNS 서비스 제공자들은 이용자들의 지속적인 사용을 위해 끊임없이 혁신을 해야만 하는 상황이다. 그러나 제공하는 서비스와 기능들이 동질화되면서 SNS 서비스간 이용자의 전환현상이 빈번하게 일어나고 있다. 본 연구는 두 장소 사이의 이동을 설명하기 위해 대표적으로 사용되어 온 이주이론을 바탕으로 SNS 전환의도에 영향을 미치는 요인을 탐색하였다. 한국과 중국의 대학생들을 대상으로 설문조사를 실시한 결과, 서비스 혁신, 대안매력도, 동료 영향이 전환의도에 긍정적인 영향을 미치는 것으로 나타났다. 한편, 한국과 중국 간에 SNS 전환의도에 영향을 미치는 요인에서 차이가 나타났는데, 한국 대학생들에게 있어 전환의도에 가장 큰 영향을 미치는 요인은 대안 매력도인 것으로 나타난 반면, 중국 대학생들에게는 동료 영향이 전환의도에 가장 큰 영향을 미치는 것으로 나타났다.

• Interaction and multiscale mechanics
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• 제5권3호
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• pp.229-265
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• 2012

Hygroexpansion of wood is a known and undesired characteristic in civil engineering. When wood is exposed to changing environmental humidity, it adsorbs or desorbs moisture and warps. The resulting distortions or - at restrained conditions - cracks are a major concern in timber engineering. We herein present a multiscale model for prediction of the macroscopic hygroexpansion behavior of individual pieces of softwood from their microstructure, demonstrated for spruce. By applying poromicromechanics, we establish a link between the swelling pressure, driving the hygroexpansion of wood at the nanoscale, and the resulting macroscopic dimensional changes. The model comprises six homogenization steps, which are performed by means of continuum micromechanics, the unit cell method and laminate theory, all formulated in a poromechanical framework. Model predictions for elastic properties of wood as functions of the moisture content closely approach corresponding experimental data. As for the hygroexpansion behavior, the swelling pressure has to be back-calculated from macroscopic hygroexpansion data. The good reproduction of the anisotropy of wood hygroexpansion, based on only a single scalar calibration parameter, underlines the suitability of the model. The multiscale model constitutes a valuable tool for studying the effect of microstructural features on the macroscopic behavior and for assessing the hygroexpansion behavior at smaller length scales, which are inaccessible to experiments. The model predictions deliver input parameters for the analysis of timber at the structural scale, therewith enabling to optimize the use of timber and to prevent moisture-induced damage or failure.

• Steel and Composite Structures
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• 제39권2호
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• pp.215-228
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• 2021

This paper investigates the effect of micromechanical models on the bending behavior of bidirectional functionally graded (BDFG) beams subjected to different mechanical loading. The material properties of the beam are considered to be graded in both axial and thickness directions according to a power law. The beam's behavior is modeled by the mean of quasi 3D displacement field that contain undetermined integral terms and involves a reduced unknown functions. Navier's method is employed to determine and compute the displacements and stress for a simply supported beam. Different homogenization schemes such as Voigt, Reus, and Mori-Tanaka are employed to analyze the response of the BDFG beam subjected to linear, uniform, exponential and sinusoidal distributed loading. The results obtained by the present method are compared with available results in the literature and a good agreement was found. Several numerical results are presented in tabular form and in figures to examine the effects of the material gradation, micromechanical models and types of loading on the bending response of BDFG beams. It can be concluded that the present theory is not only accurate but also simple in predicting the bending response of BDFG beam subjected to different static loads.