• 제목/요약/키워드: Elastic material

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반도체 패키지용 PCB의 구조 모델링 방법에 따른 패키지의 warpage 수치적 연구 (Numerical Study on Package Warpage as Structure Modeling Method of Materials for a PCB of Semiconductor Package)

  • 조승현;전현찬
    • 마이크로전자및패키징학회지
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    • 제25권4호
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    • pp.59-66
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    • 2018
  • 본 논문에서는 수치해석을 사용하여 반도체용 패키지에 적용된 인쇄회로기판 (PCB(printed circuit board)) 구조를 다층 구조의 소재 특성을 모델링한 것과 단일 구조라고 가정한 모델링을 적용하여 warpage를 해석함으로써 단일 구조 PCB 모델링의 유용성을 분석하였다. 해석에는 3층과 4층 회로층을 갖는 PCB가 사용되었다. 또한 단일 구조 PCB의 재료 특성값을 얻기 위해 실제 제품을 대상으로 측정을 수행하였다. 해석 결과에 의하면 PCB를 다층 구조로 모델링한 경우에 비해 단일 구조로 모델링한 경우에 warpage가 증가하여 PCB 구조의 모델링에 따른 warpage 분석결과가 분명한 유의차가 있었다. 또한, PCB의 회로층이 증가하면 PCB의 기계적 특성인 탄성계수와 관성모멘트가 증가하여 패키지의 warpage가 감소하였다.

복합 입체형 정육면체 트러스 단위구조체의 강도 및 강성에 대한 해석 연구 (A Study on the Strength and Stiffness of Multi-Stage Cubic Truss Unit Structures)

  • 최정호
    • 한국융합학회논문지
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    • 제10권4호
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    • pp.139-145
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    • 2019
  • 이 논문은 복합 입체형 트러스 단위구조체에 대한 강도 및 강성을 연구하였다. 사용된 모델은카고메 모델과 정육면체 트러스 모델을 합한 core-filled 모델이다. 해석을 위해 사용한 재질 특성은 304 스테인레스 스틸로 탄성계수는 193GPa, 항복응력 215MPa이다. 이론식은 깁슨-애쉬비의 상대탄성 관계식을 바탕으로 이론식을 유도하였고, 상용도구인 Deform 3D를 사용하여 해석을 실시하였다. 결론적으로 이 단위모델에 대한 상대탄성력은 상대밀도의 1.25배와 상수 계수값과 상관관계를 형성하고, 탄성은 기공과 반비례한다. 그리고, 상대압축강도는 상대밀도와 1.25배의 상관관계를 이룬다. 이에 대한 증명은 실제 실험을 해야 하겠으며, 유도한 이론 관계식은 굽힘과 좌굴등의 기계적 거동을 추가로 고려해야 한다. 앞으로 입체공간의 구조에 따른 탄성 및 응력에 대해 지속적인 연구가 진행될 것이다.

The Evaluation of Axial Stress in Continuous Welded Rails via Three-Dimensional Bridge-Track Interaction

  • Manovachirasan, Anaphat;Suthasupradit, Songsak;Choi, Jun-Hyeok;Kim, Bum-Joon;Kim, Ki-Du
    • 국제강구조저널
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    • 제18권5호
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    • pp.1617-1630
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    • 2018
  • The crucial differences between conventional rail with split-type connectors and continuous welded rails are axial stress in the longitudinal direction and stability, as well as other issues generated under the influence of loading effects. Longitudinal stresses generated in continuously welded rails on railway bridges are strongly influenced by the nonlinear behavior of the supporting system comprising sleepers and ballasts. Thus, the track structure interaction cannot be neglected. The rail-support system mentioned above has properties of non-uniform material distribution and uncertainty of construction quality. The linear elastic hypothesis therefore cannot correctly evaluate the stress distribution within the rails. The aim of this study is to apply the nonlinear finite element method using the nonlinear coupling interface between the track and structural model and to illustrate the welded rail behavior under the loading effect and uncertain factors of the ballast. Numerical results of nonlinear finite analysis with a three-dimensional solid and frame element model are presented for a typical track-bridge system. A composite plate girder, modeled by solid and shell elements, is also analyzed to consider the behavior of the welded rail. The analysis result showed buckling under the independent calculations of load cases, including 'temperature change', 'bending of the supporting structure', and 'braking' of the railway vehicle. A parametric study of the load combination method and the loading sequence is also included in this analysis.

압입경도 측정을 위한 표면변형 분석기법 비교 (Analytical Approaches of Surface-Local Deformations for the Measurement of Indentation Hardness)

  • 이윤희;김국환;남승훈;권동일
    • 대한금속재료학회지
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    • 제47권7호
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    • pp.416-422
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    • 2009
  • Approaches for analyzing indentation hardness are still controversial, although the instrumented indentation technique has been generalized as one powerful method that can record surface deformation behaviors. Material pile-ups around the indenter/surface contact region make the conventional Oliver and Pharr's analysis on the instrumented indentation curve inaccurate. Thus, in order to prove the validity of the hardness analyses, five approaches were applied to the experimental data obtained from fused quartz and (100) monocrystalline tungsten specimens; an elastic recovery analysis on instrumented indentation curves, three indentation work analyses on the unit plastic volume, and a differentiation analysis on remnant indentation morphologies were tried. Five kinds of indentation hardness overlapped on one result plot showed the validity of each analysis. The modified indentation work approach based on a new definition of plastic volume showed consistent results with those from the Oliver-Pharr's and image differentiation methods. In the case of pile-up accompanying deformation, the Oliver-Pharr's and image differentiation methods showed the upper and lower limits of indentation hardness, respectively.

Analyzing the contact problem of a functionally graded layer resting on an elastic half plane with theory of elasticity, finite element method and multilayer perceptron

  • Yaylaci, Murat;Yayli, Mujgen;Yaylaci, Ecren Uzun;Olmez, Hasan;Birinci, Ahmet
    • Structural Engineering and Mechanics
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    • 제78권5호
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    • pp.585-597
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    • 2021
  • This paper presents a comparative study of analytical method, finite element method (FEM) and Multilayer Perceptron (MLP) for analysis of a contact problem. The problem consists of a functionally graded (FG) layer resting on a half plane and pressed with distributed load from the top. Firstly, analytical solution of the problem is obtained by using theory of elasticity and integral transform techniques. The problem is reduced a system of integral equation in which the contact pressure are unknown functions. The numerical solution of the integral equation was carried out with Gauss-Jacobi integration formulation. Secondly, finite element model of the problem is constituted using ANSYS software and the two-dimensional analysis of the problem is carried out. The results show that contact areas and the contact stresses obtained from FEM provide boundary conditions of the problem as well as analytical results. Thirdly, the contact problem has been extended based on the MLP. The MLP with three-layer was used to calculate the contact distances. Material properties and loading states were created by giving examples of different values were used at the training and test stages of MLP. Program code was rewritten in C++. As a result, average deviation values such as 0.375 and 1.465 was obtained for FEM and MLP respectively. The contact areas and contact stresses obtained from FEM and MLP are very close to results obtained from analytical method. Finally, this study provides evidence that there is a good agreement between three methods and the stiffness parameters has an important effect on the contact stresses and contact areas.

Nanoscale quantitative mechanical mapping of poly dimethylsiloxane in a time dependent fashion

  • Zhang, Shuting;Ji, Yu;Ma, Chunhua
    • Advances in nano research
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    • 제10권3호
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    • pp.253-261
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    • 2021
  • Polydimethylsiloxane (PDMS) is one of the most widely adopted silicon-based organic polymeric elastomers. Elastomeric nanostructures are normally required to accomplish an explicit mechanical role and correspondingly their mechanical properties are crucial to affect device and material performance. Despite its wide application, the mechanical properties of PDMS are yet fully understood. In particular, the time dependent mechanical response of PDMS has not been fully elucidated. Here, utilizing state-of-the-art PeakForce Quantitative Nanomechanical Mapping (PFQNM) together with Force Volume (FV) and Fast Force Volume (FFV), the elastic moduli of PDMS samples were assessed in a time-dependent fashion. Specifically, the acquisition frequency was discretely changed four orders of magnitude from 0.1 Hz up to 2 kHz. Careful calibrations were done. Force data were fitted with a linearized DMT contact mechanics model considering surface adhesion force. Increased Young's modulus was discovered with increasing acquisition frequency. It was measured 878 ± 274 kPa at 0.1 Hz and increased to 4586 ± 758 kPa at 2 kHz. The robust local probing of mechanical measurement as well as unprecedented high-resolution topography imaging open new avenues for quantitative nanomechanical mapping of soft polymers, and can be extended to soft biological systems.

다이아몬드 강화 Cr 기반 소재의 정량적 마모 특성 평가 (Quantitative Assessment of Wear Characteristics of Cr-based Coating Reinforced with Diamond)

  • 후인 옥-팟;부 아 린;정구현
    • Tribology and Lubricants
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    • 제38권1호
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    • pp.15-21
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    • 2022
  • Diamond reinforced Cr-based coating has been proposed as wear-resistant materials. In this study, the friction and wear characteristics of diamond reinforced Cr-based coating are experimentally assessed. The experiments are performed using a pin-on-reciprocating plate tribo-tester under various normal forces with boundary lubrication. The stainless-steel ball is used as a counter material. Prior to the experiments, mechanical properties such as elastic modulus and hardness are determined using nanoscale instrumented indentation. The hardness of the specimen is further determined using a Vickers hardness tester. The specimens before and after the experiments are carefully observed using a confocal microscope to understand the wear characteristics. In addition, the wear volume and wear rate of the specimens are determined based on the confocal microscope data. The results show that the friction coefficients are 0.096-0.100 under 20-40 N normal forces. Furthermore, the wear rates of the diamond reinforced Cr-based coating and the stainless steel ball under 20-40 N normal forces are found to be 12.8 × 10-8 mm3/(Nm)-15.5 × 10-8 mm3/(Nm) and 1.9 × 10-8 mm3/(Nm)-3.9 × 10-8 mm3/(Nm), respectively. However, the effect of the normal force on wear rates is not clearly observed, which may be associated with the flattening of the ball. The results of the study may be useful for the tribological applicability of diamond reinforced Cr-based coating as wear-resistant materials.

동작센싱 스마트레깅스 프로토타입 개발 (Developing a Prototype of Motion-sensing Smart Leggings)

  • 황진희;지승현;김선희
    • 한국의류산업학회지
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    • 제24권6호
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    • pp.694-706
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    • 2022
  • This study focusses on the development of a motion-sensing smart leggings prototype with the help of a module that monitors motion using a fiber-type stretch sensor. Additionally, it acquires data on Electrocardiogram (ECG), respiration, and body temperature signals, for the development of smart clothing used in online exercise coaching and customized healthcare systems. The research process was conducted in the following order: 1) Fabrication of a fiber-type elastic strain sensor for motion monitoring, 2) Positioning and attaching the sensor, 3) Pattern development and three-dimensional (3D) design, 4) Prototyping 5) Wearability test, and 6) Expert evaluation. The 3D design method was used to develop an aesthetic design, and for sensing accurate signal acquisition functions, wearability tests, and expert evaluation. As a result, first, the selection or manufacturing of an appropriate sensor for the function is of utmost importance. Second, the selection and attachment method of a location that can maximize the function of the sensor without interfering with any activity should be studied. Third, the signal line selection and connection method should be considered, and fourth, the aesthetic design should be reflected along with functional verification. In addition, the selection of an appropriate material is important, and tests for washability and durability must be made. This study presented a manufacturing method to improve the functionality and design of smart clothing, through the process of developing a prototype of motion-sensing smart leggings.

The development of the seismic fragility curves of existing bridges in Indonesia (Case study: DKI Jakarta)

  • Veby Citra Simanjuntak;Iswandi Imran;Muslinang Moestopo;Herlien D. Setio
    • Structural Monitoring and Maintenance
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    • 제10권1호
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    • pp.87-105
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    • 2023
  • Seismic regulations have been updated from time to time to accommodate an increase in seismic hazards. Comparison of seismic fragility of the existing bridges in Indonesia from different historical periods since the era before 1990 will be the basis for seismic assessment of the bridge stock in Indonesia, most of which are located in earthquake-prone areas, especially those built many years ago with outdated regulations. In this study, seismic fragility curves were developed using incremental non-linear time history analysis and more holistically according to the actual strength of concrete and steel material in Indonesia to determine the uncertainty factor of structural capacity, βc. From the research that has been carried out, based on the current seismic load in SNI 2833:2016/Seismic Map 2017 (7% probability of exceedance in 75 years), the performance level of the bridge in the era before SNI 2833:2016 was Operational-Life Safety whereas the performance level of the bridge designed with SNI 2833:2016 was Elastic - Operational. The potential for more severe damage occurs in greater earthquake intensity. Collapse condition occurs at As = FPGA x PGA value of bridge Era I = 0.93 g; Era II = 1.03 g; Era III = 1.22 g; Era IV = 1.54 g. Furthermore, the fragility analysis was also developed with geometric variations in the same bridge class to see the effect of these variations on the fragility, which is the basis for making bridge risk maps in Indonesia.

초탄성 형상기억합금을 적용한 선행압축 폴리우레탄 댐퍼의 거동 특성 검증 (Verification of Behavior Characteristics of Precompression Polyurethane Damper Using Superelastic Shape Memory Alloy)

  • 김영찬;허종완
    • 대한토목학회논문집
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    • 제43권4호
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    • pp.413-420
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    • 2023
  • 지진피해 감소를 위한 내진 구조 중에서 제진 구조는 댐퍼의 간단한 적용으로 효율적으로 내진 성능을 향상시키고 경제성을 확보할 수 있는 기술이다. 그러나 기존의 댐퍼는 요구 내진 성능과 재료 소성으로 인한 내구성에 대하여 한계를 나타낸다. 따라서 본 연구에서는 기본적으로 탄성 특성을 나타내는 폴리우레탄에 선행 압축을 가하고 초탄성 형상기억합금을 적용하여 복원 특성을 증진시킨 폴리우레탄 댐퍼를 제안하였다. 폴리우레탄 댐퍼의 특성을 검증하기 위하여 우선 개념을 정립하고 초탄성 형상기억합금과 강재 적용, 선행압축 크기를 설계 변수로 선정하여 설계 상세를 완성하였다. 또한, 구조 실험을 수행하여 응답 거동을 도출하여 하중 저항 성능, 잔류 변위, 회복률, 에너지 소산 능력을 분석하였다. 분석한 결과 폴리우레탄 댐퍼는 초탄성 형상기억합금 와이어를 적용하고 선행 압축이 증가하면 다양한 성능이 향상되는 결과를 나타냈다.