• Steel and Composite Structures
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• 제25권2호
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• pp.177-186
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• 2017

In this work, the model of magneto-thermoelasticity based on memory-dependent derivative (MDD) is applied to a one-dimensional thermal shock problem for a functionally graded half-space whose surface is assumed to be traction free and subjected to an arbitrary thermal loading. The $Lam{\acute{e}}^{\prime}s$ modulii are taken as functions of the vertical distance from the surface of thermoelastic perfect conducting medium in the presence of a uniform magnetic field. Laplace transform and the perturbation techniques are used to derive the solution in the Laplace transform domain. A numerical method is employed for the inversion of the Laplace transforms. The effects of the time-delay on the temperature, stress and displacement distribution for different linear forms of Kernel functions are discussed. Numerical results are represented graphically and discussed.

• Journal of applied mathematics & informatics
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• 제37권5_6호
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• pp.507-519
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• 2019

The ground for this paper is to examine the generalized Stokes' first and second issues for an incompressible couple pressure liquid under isothermal conditions. Exact solutions for each problem are acquired by using the Laplace transform (LT) with respect to the time variable t and the sine Fourier transform (FT) with respect to the y-variable. Further, a comparison is given of the obtained results and the results of Devakar and Lyengar [1] and by using the four inverse Laplace transform algorithms (Stehfest's, Tzou's, Talbot, Fourier series) in the space time domain utilizing a numerical methodology. Moreover, velocity profiles are plotted and considered for various occasions and distinctive estimations of couple stress parameters. At the end, the outcomes are exhibited by graphs and in tabular forms.

• Coupled systems mechanics
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• 제13권1호
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• pp.21-41
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• 2024

This paper is concerned with the disturbances in a transversely isotropic new modified couple stress homogeneous thermoelastic rotating medium under the combined influence of Hall currents, magnetic fields, and mechanical sources represented by inclined loads. The application of Laplace and Fourier transform techniques are used for the derivation of analytical expressions for various physical quantities. As an application,the bounding surface is subjected to uniformly and linearly distributed force (mechanical force). Present model contains length scale parameters that can capture the size effects. Numerical inversion techniques has been used to provide insights into the system's behavior in the physical domain. The graphical representation of numerical simulated results has been presented to emphasize the impact of rotation and inclined line loads on the system, enhancing our understanding of the studied phenomena. Further research can extend this study to investigate additional complexities and real-world applications.

• Structural Engineering and Mechanics
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• 제90권4호
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• pp.429-434
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• 2024

In the current work, the effect of rotation and mechanical force on a nonlocal micropolar thermoelastic solid with temperature-dependent properties was discussed using Erigen's nonlocal thermoelasticity theory. The problem is resolved using Laplace transforms and Fourier series. For the nonlocal and local parameters, the physical fields have been illustrated. The numerical inversion approach is used to acquire the resulting fields in the physical domain. Based on numerical analysis, the effects of rotation, the modulus of elasticity's dependency on temperature, and nonlocal, mechanical force are examined on the physical fields.

• Structural Engineering and Mechanics
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• 제90권3호
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• pp.263-272
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• 2024

This research deals with the study of two-dimensional deformation in transversely isotropic thermoelastic diffusion medium. This investigation integrates the effect of diffusion and thermal effects in transversely isotropic thermoelastic solids under inclined load. Inclined load is taken as linear combination of normal load and tangential load. Laplace and Fourier transformation techniques are employed to transform the physical domain and then transformed solutions are inverted with the aid of numerical inversion techniques. Concentrated and distributed load are considered to exemplify its utility. Graphical representation of variation in displacement, stresses, temperature and concentration distribution with distance is depicted by taking inclination at different angles. Some particular cases are studied.

• 한국음향학회지
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• 제20권8호
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• pp.3-11
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• 2001

본 연구에서는 SVD (Singular Value Decomposition)를 이용하여 다중입력과 다중출력을 가지는 시스템에서의 입력을 알아내기 위해 역변환 필터를 구현하였다. SISO (Single-Input and Single-Output)시스템의 입력과 출력의 관계에 대한 행렬공식화 작업을 확장하여 MIMO (Multi-Input and Multi-Output)시스템에 적용하였다. 그리고 시간영역과 주파수영역에서 최소위상 (Minimum phase)시스템과 비최소위상 (Non-minimum phase)시스템에 대한 그 역벽환에 대해 알아보았으며 비최소 위상요소에 대한 효과적인 역변환을 위해 SVD를 도입하였다. 먼저 전체시스템 행렬의 특이값 (singular value)을 계산하고 시스템의 위상에 대해 알아본다. 전체시스템이 비최소 위상인 경우 하나 이상의 매우 작은 특이값을 가지며 이는 시스템의 최소 위상/비최소 위상에 대한 정보를 가짐을 알 수 있다. 이를 이용하여 전체시스템에 대한 근사적인 역변환 필터를 구할 수 있으며 보다 근사적인 역변환 필터를 얻기 위하여 특이벡터를 이용하여 근사적인 역변환 필터를 얻었다. 수치적 예는 이러한 역변환 필터 행렬의 이용에 대한 잠재성을 보여준다.

• 한국진공학회:학술대회논문집
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• 한국진공학회 2010년도 제39회 하계학술대회 초록집
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• pp.259-259
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• 2010

Periodically polarity inverted (PPI) ZnO structures on (0001) Al2O3 substrates are demonstrated by plasmas assisted molecular beam epitaxy. The patterning and re-growth methods are used to realize the PPI ZnO by employing the polarity controlling method. For the in-situ polarity controlling of ZnO films, Cr-compound buffer layers are used.[1, 2] The region with the CrN intermediate layer and the region with the Cr2O3 and Al2O3 substrate were used to grow the Zn- and O-polar ZnO films, respectively. The growth behaviors with anisotropic properties of PPI ZnO heterostructures are investigated. The periodical polarity inversion is evaluated by contrast images of piezo-response microscopy. Structural and optical interface properties of PPI ZnO are investigated by the transmission electron microcopy (TEM) and micro photoluminescence ($\mu$-PL). The inversion domain boundaries (IDBs) between the Zn and the O-polar ZnO regions were clearly observed by TEM. Moreover, the investigation of spatially resolved local photoluminescence characteristics of PPI ZnO revealed stronger excitonic emission at the interfacial region with the IDBs compared to the Zn-polar or the O-polar ZnO region. The possible mechanisms will be discussed with the consideration of the atomic configuration, carrier life time, and geometrical effects. The successful realization of PPI structures with nanometer scale period indicates the possibility for the application to the photonic band-gap structures or waveguide fabrication. The details of application and results will be discussed.

• 한국신재생에너지학회:학술대회논문집
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• 한국신재생에너지학회 2005년도 춘계학술대회
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• pp.638-642
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• 2005

For gas hydrate exploration, long offset multichannel seismic data acquired using by the 4km streamer length in Ulleung basin of the East Sea. The dataset was processed to define the BSRs (Bottom Simulating Reflectors) and to estimate the amount of gas hydrates. Confirmation of the presence of Bottom Simulating reflectors (BSR) and investigation of its physical properties from seismic section are important for gas hydrate detection. Specially, faster interval velocity overlying slower interval velocity indicates the likely presences of gas hydrate above BSR and free gas underneath BSR. In consequence, estimation of correct interval velocities and analysis of their spatial variations are critical processes for gas hydrate detection using seismic reflection data. Using Dix's equation, Root Mean Square (RMS) velocities can be converted into interval velocities. However, it is not a proper way to investigate interval velocities above and below BSR considering the fact that RMS velocities have poor resolution and correctness and the assumption that interval velocities increase along the depth. Therefore, we incorporated Migration Velocity Analysis (MVA) software produced by Landmark CO. to estimate correct interval velocities in detail. MVA is a process to yield velocities of sediments between layers using Common Mid Point (CMP) gathered seismic data. The CMP gathered data for MVA should be produced after basic processing steps to enhance the signal to noise ratio of the first reflections. Prestack depth migrated section is produced using interval velocities and interval velocities are key parameters governing qualities of prestack depth migration section. Correctness of interval velocities can be examined by the presence of Residual Move Out (RMO) on CMP gathered data. If there is no RMO, peaks of primary reflection events are flat in horizontal direction for all offsets of Common Reflection Point (CRP) gathers and it proves that prestack depth migration is done with correct velocity field. Used method in this study, Tomographic inversion needs two initial input data. One is the dataset obtained from the results of preprocessing by removing multiples and noise and stacked partially. The other is the depth domain velocity model build by smoothing and editing the interval velocity converted from RMS velocity. After the three times iteration of tomography inversion, Optimum interval velocity field can be fixed. The conclusion of this study as follow, the final Interval velocity around the BSR decreased to 1400 m/s from 2500 m/s abruptly. BSR is showed about 200m depth under the seabottom

• 한국전산구조공학회논문집
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• 제32권4호
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• pp.249-256
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• 2019

이 논문은 재료의 전기 전도도 분포를 재구성하는 전기임피던스 단층이미지 기법(electrical impedance tomography; EIT)을 제시한다. 이 문제는 구조물 표면의 전극에서 측정된 전위와 계산된 전위의 차를 최소화하여 전기 전도도의 공간적 분포를 재구성하는 최적화 문제로 정의된다. 전류 입력 시 전위를 구하는 정해석 문제의 수학적 모델로서 완전전극모델(complete electrode model; CEM)을 사용하였다. 완전전극모델은 전기 포텐셜에 대한 라플라스 방정식과 전류 입력에 따른 경계조건들로 구성되는 경계값 문제이다. 완전전극모델 해의 정확성을 검증하기 위하여 유한요소법을 이용해 구한 원형 구조물의 전위해와 Technology Computer Aided Design(TCAD) 소프트웨어를 사용해 얻은 결과를 비교하였다. 완전전극모델의 지배방정식과 경계조건을 구속조건으로 하는 최적화 문제를 라그랑주 승수법(lagrange multiplier method)을 이용해 비구속 최적화 문제로 전환하고 라그랑지안의 1차 최적화 조건으로부터 전극에서의 전위 차를 최소화하는 최적의 전기전도도 분포를 도출하였다. 원형 균일영역의 전기 전도도 분포를 재구성하는 역해석 예제를 통해 완전전극모델 기반 EIT 프레임워크의 적용성을 검토하였다.

• 자원환경지질
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• 제31권1호
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• pp.21-29
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• 1998

원주 (KSRS), 인천 (IRIS), 그리고 포항 (PHN)에서 관측한 원격 지진 P파로부터 광대역 수신 함수(Receiver Function)를 이용하여 관측소 하부의 지각 속도 모델을 찾았다. 3개의 관측소에서 기록된 수신 함수 파형으로부터 모호 불연속면에서 전환된 Ps파형을 명확하게 관측할 수 있었다. 각 관측소에서 관측된 수신 함수들은 신호 대 잡음 비 (S/N ratio)를 향상시키기 위해 후방위각과 진앙 거리가 거의 같은 수신 함수들끼리 스태킹(Staking)하였다. 이와 같이 스태킹한 수신함수를 수신함수 역산법 (Receiver Function Inversion Method)을 이용하여 다음과 같은 결과를 얻었다. (1) 포항 관측소에는 후방위각 남동 (SE)과 북서 (NW)방향의 수신 함수 역산 결과 표층으로부터 4~5km에서 고속도층이 존재하며 10 km깊이부터 저속도층 (LVZ)이 존재하고 있다. 그리고 북서 (NW)방향의 원격 수신 함수 역산 결과 약 28km 깊이에 모호 불연속면이 존재하는 것을 찾았다. (2) 원주 관측소에서는 북동 (NE)방향의 원격 수신 함수 역산 결과 천부 지각 속도 구조 양상이 다소 복잡하고 3~4km깊이에 고속도대 (high-velocity zone, $V_p{\simeq}6.8km/sec$)가 존재하는 것으로 나타났다. 이 지역의 평균 지각 두께는 33km 이며, 30~33 km깊이에서 속도가 6.4 km/sec에서 7.9 km/sec로 급격히 변하는 지각-맨틀 경계가 존재하는 것을 알 수 있다. 따라서 Moho 불연속면의 깊이는 33km로 추정된다. (3) 북서 (NW)방향의 수신함수 분석결과 인천 관측소 하부의 지각 속도 모델의 특징으로는 P파의 속도는 표층부터 선형적으로 증가되고 또한 26~29 km 깊이에 P파 속도가 6.2 km/sec에서 7.9 km/sec로 속도가 급격히 변하고 있음에 비추어 Moho 불연속면은 심도 약 29km에 존재하는 것으로 나타났다.