• Advances in nano research
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• 제8권1호
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• pp.83-94
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• 2020

An analytical formulation and solution process for the buckling analysis of porous magneto-electro-elastic functionally graded (MEE-FG) beam via different thermal loadings and various boundary conditions is suggested in this paper. Magneto electro mechanical coupling properties of FGM beam are taken to vary via the thickness direction of beam. The rule of power-law is changed to consider inclusion of porosity according to even and uneven distribution. Pores possibly occur inside FGMs due the result of technical problems that lead to creation of micro-voids in these materials. Change in pores along the thickness direction stimulates the mechanical and physical properties. Four-variable tangential-exponential refined theory is employed to derive the governing equations and boundary conditions of porous FGM beam under magneto-electrical field via Hamilton's principle. An analytical model procedure is adopted to achieve the non-dimensional buckling load of porous FG beam exposed to magneto-electrical field with various boundary conditions. In order to evaluate the influence of thermal loadings, material graduation exponent, coefficient of porosity, porosity distribution, magnetic potential, electric voltage and boundary conditions on the critical buckling temperature of the beam made of magneto electro elastic FG materials with porosities a parametric study is presented. It is concluded that these parameters play remarkable roles on the buckling behavior of porous MEE-FG beam. The results for simpler states are proved for exactness with known data in the literature. The proposed numerical results can serve as benchmarks for future analyses of MEE-FG beam with porosity phases.

• 반도체디스플레이기술학회지
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• 제21권1호
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• pp.148-154
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• 2022

As the 4th industrial age approaches, the demand for semiconductors is increasing enough to be used in all electronic devices. At the same time, semiconductor technology is also developing day by day, leading to ultraprecision and low power consumption. Semiconductors that keep getting smaller generate heat because the energy density increases, and the generated heat changes the shape of the semiconductor package, so it is important to manage. The temperature change is not only self-heating of the semiconductor package, but also heat generated by external damage. If the package is deformed, it is necessary to manage it because functional problems and performance degradation such as damage occur. The package burn in test in the post-process of semiconductor production is a process that tests the durability and function of the package in a high-temperature environment, and heat dissipation performance can be evaluated. In this paper, we intend to review a new material formulation that can improve the performance of the adapter, which is one of the parts of the test socket used in the burn-in test. It was confirmed what characteristics the basic base showed when polyamide, a high-molecular material, and alumina, which had high thermal conductivity, were mixed for each magnification. In this study, functional evaluation was also carried out by injecting an adapter, a part of the test socket, at the same time as the specimen was manufactured. Verification of stiffness such as tensile strength and flexural strength by mixing ratio, performance evaluation such as thermal conductivity, and manufacturing of a dummy device also confirmed warpage. As a result, it was confirmed that the thermal stability was excellent. Through this study, it is thought that it can be used as basic data for the development of materials for burn-in sockets in the future.

• Steel and Composite Structures
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• 제46권4호
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• pp.471-483
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• 2023

This paper presents an analytical hyperbolic theory based on the refined shear deformation theory for mechanical stability analysis of the simply supported advanced composites plates (exponentially, sigmoidal and power-law graded) under triangular, trapezoidal and uniform uniaxial and biaxial loading. The developed model ensures the boundary condition of the zero transverse stresses at the top and bottom surfaces without using the correction factor as first order shear deformation theory. The mathematical formulation of displacement contains only four unknowns in which the transverse deflection is divided to shear and bending components. The current study includes the effect of the geometric imperfection of the material. The modeling of the micro-void presence in the structure is based on the both true and apparent density formulas in which the porosity will be dense in the mid-plane and zero in the upper and lower surfaces (free surface) according to a logarithmic function. The analytical solutions of the uniaxial and biaxial critical buckling load are determined by solving the differential equilibrium equations of the system with the help of the Navier's method. The correctness and the effectiveness of the proposed HyRPT is confirmed by comparing the results with those found in the open literature which shows the high performance of this model to predict the stability characteristics of the FG structures employed in various fields. Several parametric analyses are performed to extract the most influenced parameters on the mechanical stability of this type of advanced composites plates.

• Computers and Concrete
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• 제32권1호
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• pp.61-74
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• 2023

This article investigates the wave propagation analysis of the imperfect functionally graded (FG) sandwich plates based on a novel simple four-variable integral quasi-3D higher-order shear deformation theory (HSDT). The thickness stretching effect is considered in the transverse displacement component. The presented formulation ensures a parabolic variation of the transverse shear stresses with zero-stresses at the top and the bottom surfaces without requiring any shear correction factors. The studied sandwich plates can be used in several sectors as areas of aircraft, construction, naval/marine, aerospace and wind energy systems, the sandwich structure is composed from three layers (two FG face sheets and isotropic core). The material properties in the FG faces sheet are computed according to a modified power law function with considering the porosity which may appear during the manufacturing process in the form of micro-voids in the layer body. The Hamilton principle is utilized to determine the four governing differential equations for wave propagation in FG plates which is reduced in terms of computation time and cost compared to the other conventional quasi-3D models. An eigenvalue equation is formulated for the analytical solution using a generalized displacements' solution form for wave propagation. The effects of porosity, temperature, moisture concentration, core thickness, and the material exponent on the plates' dispersion relations are examined by considering the thickness stretching influence.

• Steel and Composite Structures
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• 제45권1호
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• pp.67-82
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• 2022

In this paper, buckling and free vibration of imperfect, functionally graded beams, including porosities, are investigated, using a higher order shear strain theory. Due to defects during the manufacturing process, micro porosities may appear in the material, hence the appearance of this imperfection in the structure. The material properties of the beams are assumed to vary regularly, with power and sigmoid law, in the direction of thickness. A novel porosity distribution affecting the functionally graded volume fraction is presented. For the compact formulation used for cementite-based materials and already used in P-FGM, we have adapted it for the distribution of S-FGM. The equations of motion in the FG beam are derived using Hamilton's principle. The boundary conditions for beam FG are assumed to be simply supported. Navier's solution is used to obtain the closed form solutions of the FG beam. The numerical results of this work are compared with those of other published research to verify accuracy and reliability. The comparisons of different shear shape functions, the influence of porosity, thickness and inhomogeneity parameters on buckling and free vibration of the FG beam are all discussed. It is established that the present work is more precise than certain theories developed previously.

• 대한토목학회논문집
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• 제36권2호
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• pp.207-217
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• 2016

투기계수는 콘크리트의 공극뿐만 아니라 공극크기, 공극분포, 공극간의 굴곡특성에 의해서도 영향을 받는다. 투기계수는 시멘트 페이스트의 미세구조에 의해 지배되는데, 시멘트 페이스트 및 골재 각각이 콘크리트의 투기성능에 미치는 영향을 다룬 연구는 드물다. 더우기, 탄산화가 투기계수에 큰 영향을 미칠 수 있음에도 불구하고, 탄산화된 콘크리트에 대한 투기계수를 다룬 연구는 더욱 드문 실정이다. 본 연구의 목적은 탄산화 및 비탄산화된 콘크리트의 투기계수를 추정할 수 있는 기초적 접근방법을 개발하는 것이다. 본 연구에서는 미세구조 모델 및 시멘트의 경화특성을 기초로 투기계수를 산정할 수 있는 해석적 기법이 제안되었다. 탄산화된 콘크리트에서 감소된 공극량이 계산되었으며 이는 투기계수의 산정에 이용하여 탄산화된 콘크리트의 투기계수를 계산하였다. 높은 물-시멘트비를 갖는 콘크리트는 탄산화로 인하여 투기계수의 감소가 더욱 뚜렷한 것을 확인되었다. 한편, 시멘트 페이스트에서 투기계수와 투수계수는 Klinkenberg 효과에 의한 선형관계가 성립되나, 콘크리트에서는 성립되지 않았다. 해석결과는 YOON's 실험방법을 수행하여 검증하였다.

• 원예과학기술지
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• 제34권2호
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• pp.220-227
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• 2016

산성 혼합상토에 대한 고토석회 시비수준 변화가 영양생장 중인 '설향' 딸기의 고농도 중탄산 피해 경감에 미치는 영향을 구명하기 위하여 본 연구를 수행하였다. 피트모스와 수피를 5:5(v/v)로 혼합한 산성 상토를 조제하고 화학적 특성을 분석한 결과 pH 4.07, EC $0.46dS{\cdot}m^{-1}$, CEC $91.3cmol+/kg^{-1}$였다. 산성 상토의 pH를 조정하기 위해 혼합된 고토석회[$CaMg(CO_3)_2$]의 양을 0(무처리), 1, 2, 3, 및 $4g{\cdot}L^{-1}$으로 조절하고 모주를 정식하였으며, 재배기간 중 관개수의 중탄산 농도가 $240mg{\cdot}L^{-1}$으로 조절된 Hoagland 양액을 EC $0.6-0.7dS{\cdot}m^{-1}$로 조절하여 1일 또는 2일에 1회 공급하였다. 정식 140일 후 '설향' 딸기의 생육을 조사한 결과 고토석회를 2 및 $3g{\cdot}L^{-1}$ 시비한 처리의 초장, 엽록소 함량 및 생체중 등 지상부 생육이 우수하였다. 고토석회 1, 2 및 $3g{\cdot}L^{-1}$ 처리구에서는 '설향' 딸기 모주에 특별한 생리장해 현상이 나타나지 않았고 정상적인 생육을 하였으나, 0 (무처리) 및 $4g{\cdot}L^{-1}$ 처리구에서는 Ca 및 K 결핍 증상이 발생하였다. '설향' 딸기의 모주당 발생한 자묘수는 고토석회 0, 1, 2, 3 및 $4g{\cdot}L^{-1}$ 처리구에서 각각 21.0, 29.5, 35.8, 27.3 및 16.0개체였으며, $2g{\cdot}L^{-1}$으로 시비한 처리구에서 자묘 발생이 가장 많았다. 모주 재배 중 근권부 pH는 1 및 $2g{\cdot}L^{-1}$ 처리구에서 5.6-6.2의 적정 범위였으며, $4g{\cdot}L^{-1}$ 처리구에서는 과도하게 상승하였다. '설향' 딸기 모주의 다량 및 미량원소 함량은 고토석회 $2g{\cdot}L^{-1}$ 처리구에서 가장 많았고, $4g{\cdot}L^{-1}$ 처리구에서 가장 적었다. 이상의 결과는 중탄산 농도가 높은 관개수로 '설향' 딸기를 수경재배할 때 산성을 띠는 상토의 선택과 고토석회 시비량 조절을 통해 피해를 경감시킬 수 있음을 나타낸다.