• Structural Engineering and Mechanics
• /
• v.62 no.2
• /
• pp.143-149
• /
• 2017

In this work, various higher-order shear deformation beam theories for wave propagation in functionally graded beams are developed. The material properties of FG beam are assumed graded in the thickness direction according to a simple power law distribution in terms of the volume fractions of the constituents, the governing equations of the wave propagation in the FG beam are derived by using the Hamilton's principle. The analytic dispersion relations of the FG beam are obtained by solving an eigenvalue problem. The effects of the volume fraction distributions on wave propagation of functionally graded beam are discussed in detail. The results carried out can be used in the ultrasonic inspection techniques and structural health monitoring.

• Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
• /
• 2008.11a
• /
• pp.371-372
• /
• 2008

본 논문은 새롭게 초음파 분산기법을 이용하여 제조된 나노콤포지트 와 원형에폭시 수지에 대한 전기적 특성인 트리현상의 여러특성을 연구하였다. 나노필러인 Layered Silicate Particles가 에폭시수지 중에 Power Ultrasonic으로 분산된 나노콤포지트를 제조하였다. 충진된 혼합물에서 나노입자의 영향을 조사하기위해 열적, 구조적 특성을 연구하였고, 장시간 절연파괴 특성을 조사하기위해 침대평판 전극으로 원형에폭시수지와 나노콤포지트와 비교 측정하였다. 연구는 에폭시원형수지에 대한 인가전압레벌(교류 10, 15, 20kV)의 변화와 온도변화에 대한 (30,90,$130^{\circ}C$)의 트리특성을 연구하였다. 모든 전압레벨에서는 일정전압까지 1kV/s 로 승압 후 일정하게 인가되었고, 파괴에 이를 때까지 측정한 결과 10kV, 15Kv, 20KV의 경우 1042,75,488분후에 파괴에 이르렀다. 그러나 트리진행속도는 인가전압이 높을수록 빠르게 진행하였다. 온도 변화에 대한 트리특성으로서 15kV인가 후 파괴에 이르는 시간은 30,90,$130^{\circ}C$의 경우 75.3, 970, 226분으로 $90^{\circ}C$의 경우 절연성능이 가장 우수하였고, 트리진전속도는 $30^{\circ}C,130^{\circ}C,90^{\circ}C$ 순으로 나타났다. 이는 트리진전으로 파괴에 이르는 시간과 속도는 트리형태에 지배적으로 영향을 맡고 있음을 알 수 있었다. 또한 나노콤포지트 트리의 경우 15kV인가시 10902에 파괴에 이르렀고, 트리진전속도는 0.000729mm/min으로 원형에 비하여 53.36배의 트리진전시간이 느리고, 파괴시간은 145배 오래 견디는 절연내력을 측정할 수 있었다.

• Transactions of the Korean Society of Mechanical Engineers A
• /
• v.34 no.6
• /
• pp.695-700
• /
• 2010

Material properties of the lock plate, which covers the gas-turbine blade, are studied using ultrasonic guided waves. The lock plate is a crucial part of a gas-turbine power plant. The wave velocity and attenuation coefficient are measured to investigate the changes in the material properties under three heat-treatment conditions. Compared to the destructive mechanical tests, the material characterization of Inconel X-750 can be performed more efficiently and nondestructively by using ultrasonic guided waves; this characterization helps identify the changes occurring in its elastic moduli and Poisson's ratio under different heat-treatment conditions. The wave velocity and hardness of Inconel X-750 are proportional to each other. This nondestructive technique for the measurement of material properties can be widely used in various industries to avoid catastrophic failure. It is also expected that the guided-wave technique can be applied as a new cost- and time-saving inspection tool for longer and wider inspection ranges.

• Transactions of the Korean Society of Mechanical Engineers A
• /
• v.26 no.11
• /
• pp.2322-2327
• /
• 2002

The corrosion degradation characteristics of the 12Cr alloy steel, which is widely used in fossil power plants as a turbine blade material, are evaluated nondestructively by use of the backward radiated Rayleigh surface wave. In order to evaluate corrosion degradation characteristics, we constructed automated system for the backward radiation, and the frequency dependency of the Rayleigh surface wave is investigated indirectly by measuring the angular dependency of the backward radiation of the incident ultrasonic wave in the specimens. The velocity of the surface wave decrease as the increase of the aging time in the backward radiation profile, which seems to result from the increase of the effective degrading layer thickness. And, amplitude of the surface wave increase as the aging time, which seems to result from the increase of the intergranular corrosion. The result observed in this study demonstrates high potential of the backward radiated ultrasound as a tool for the nondestructive evaluation of the corrosion degradation characteristics of the aged materials.

• Proceedings of the KIEE Conference
• /
• 2008.10a
• /
• pp.157-158
• /
• 2008

친환경적인 분산기법으로 강력초음파 분산기법이 최근에 여러연구자들에 의해 적용되어 그 성과를 나타내고 있다. 에폭시-층상실리케이트 제조기법 중 가장 중요한 물성향상이 동반 상승되는 경우 분산처리를 통한 나노콤포지트 제조에 있다. 분산능력의 최적상태를 찾기 위해 초음파 적용시간을 4가지 적용시간을 달리하여 제조된 나노콤포지트 기계적, 전기적강도를 측정하여 와이블 확률분포 통계처리를 한 결과 전기적 절연파괴강도와 기계적 굴곡강도에서 최적의 분산상태를 얻을 수 있었다.

• Journal of the Korean Society for Nondestructive Testing
• /
• v.24 no.4
• /
• pp.341-347
• /
• 2004

In order to inspect the piping effectively, one of the important components in the facility of power plants, the ultrasonic guided wave was generated by a tomb transducer and was received in a non-contact fashion by using an air-coupled transducer. The guided wave modes that ran be generated by the comb transducer in piping are predicted from the theoretical dispersion curves and the element spacing of a comb transducer. Moreover, to receive the specific modes, the receiving angle of the air-coupled transducer is calculated from Snell's law between the phase velocities of guided waves and the sound velocity of air. The guided wave modes obtained in experiments are identified from the result of time-frequency analysis such as wavelet transform and two-dimensional fast Fourier transform.

• Journal of the Korean Society for Nondestructive Testing
• /
• v.20 no.5
• /
• pp.397-401
• /
• 2000

The corrosion-fatigue characteristics of the 12Cr steel, which is widely used in fossil power plants as a turbine blade material, are evaluated nondestructively by use of the Rayleigh surface wave. In this study, the frequency dependency of the Rayleigh surface wave is investigated indirectly by measuring the angular dependency of the backward radiation of the incident ultrasonic wave in the aged specimens, and then compared to the corrosion-fatigue characteristics. The width of the backward radiation profile decreases as the increase of the aging temperature, which seems to result from the increase of the effective degrading layer thickness. This parameter also shows an inversely proportionality to the exponent, m, in the Paris law which predicts the crack size increasement due to fatigue. The result observed in this study demonstrates high potential of the backward radiated ultrasound as a tool for the nondestructive evaluation of the corrosion-fatigue characteristics of the aged materials.

• Structural Engineering and Mechanics
• /
• v.57 no.5
• /
• pp.837-859
• /
• 2016

An efficient shear deformation theory is developed for wave propagation analysis of an infinite functionally graded plate in the presence of thermal environments. By dividing the transverse displacement into bending and shear parts, the number of unknowns and governing equations of the present theory is reduced, and hence, makes it simple to use. The thermal effects and temperature-dependent material properties are both taken into account. The temperature field is assumed to be a uniform distribution over the plate surface and varied in the thickness direction only. Material properties are assumed to be temperature-dependent, and graded in the thickness direction according to a simple power law distribution in terms of the volume fractions of the constituents. The governing equations of the wave propagation in the functionally graded plate are derived by employing the Hamilton's principle and the physical neutral surface concept. There is no stretching.bending coupling effect in the neutral surface-based formulation, and consequently, the governing equations and boundary conditions of functionally graded plates based on neutral surface have the simple forms as those of isotropic plates. The analytic dispersion relation of the functionally graded plate is obtained by solving an eigenvalue problem. The effects of the volume fraction distributions and temperature on wave propagation of functionally graded plate are discussed in detail. It can be concluded that the present theory is not only accurate but also simple in predicting the wave propagation characteristics in the functionally graded plate. The results carried out can be used in the ultrasonic inspection techniques and structural health monitoring.

• Steel and Composite Structures
• /
• v.51 no.2
• /
• pp.185-202
• /
• 2024

In this research paper, and for the first time, wave propagations in sigmoidal imperfect functionally graded material plates are investigated using a simplified quasi-three-dimensionally higher shear deformation theory (Quasi-3D HSDTs). By employing an indeterminate integral for the transverse displacement in the shear components, the number of unknowns and governing equations in the current theory is reduced, thereby simplifying its application. Consequently, the present theories exhibit five fewer unknown variables compared to other Quasi-3D theories documented in the literature, eliminating the need for any correction coefficients as seen in the first shear deformation theory. The material properties of the functionally graded plates smoothly vary across the cross-section according to a sigmoid power law. The plates are considered imperfect, indicating a pore distribution throughout their thickness. The distribution of porosities is categorized into two types: even or uneven, with linear (L)-Type, exponential (E)-Type, logarithmic (Log)-Type, and Sinus (S)-Type distributions. The current quasi-3D shear deformation theories are applied to formulate governing equations for determining wave frequencies, and phase velocities are derived using Hamilton's principle. Dispersion relations are assumed as an analytical solution, and they are applied to obtain wave frequencies and phase velocities. A comprehensive parametric study is conducted to elucidate the influences of wavenumber, volume fraction, thickness ratio, and types of porosity distributions on wave propagation and phase velocities of the S-FGM plate. The findings of this investigation hold potential utility for studying and designing techniques for ultrasonic inspection and structural health monitoring.