• Structural Engineering and Mechanics
• /
• 제86권1호
• /
• pp.1-16
• /
• 2023

The free vibration of temperature-dependent functionally graded plates (FGPs) resting on a viscoelastic foundation is investigated in this paper using a newly developed simple first-order shear deformation theory (FSDT). Unlike other first order shear deformation (FSDT) theories, the proposed model contains only four variables' unknowns in which the transverse shear stress and strain follow a parabolic distribution along the plates' thickness, and they vanish at the top and bottom surfaces of the plate by considering a new shape function. For this reason, the present theory requires no shear correction factor. Linear steady-state thermal loads and power-law material properties are supposed to be graded across the plate's thickness. Uniform, linear, non-linear, and sinusoidal thermal rises are applied at the two surfaces for simply supported FGP. Hamilton's principle and Navier's approach are utilized to develop motion equations and analytical solutions. The developed theory shows progress in predicting the frequencies of temperature-dependent FGP. Numerical research is conducted to explain the effect of the power law index, temperature fields, and damping coefficient on the dynamic behavior of temperature-dependent FGPs. It can be concluded that the equation and transformation of the proposed model are as simple as the FSDT.

• 한국터널지하공간학회 논문집
• /
• 제12권2호
• /
• pp.177-192
• /
• 2010

터널현장에서는 터널의 안정성을 평가하기 위하여 숏크리트 계측이 활발히 수행되고 있다. 그러나 숏크리트 응력 측정은 지반하중과 관계없이 발생되는 변형률 및 숏크리트 변형계수의 불확실성, 숏크리트 응력 측정 자체의 어려움 등에 의하여 측정 결과의 신뢰성을 기대하기 어렵다. 본 연구에서는 국내외의 숏크리트 계측의 현황 분석 및 현장 계측 결과를 통하여 기존 숏크리트 계측의 문제점을 분석하였다. 문헌조사 및 터널 현장에서의 무응력 숏크리트 계측 결과를 이용하여 무응력 상태에서 발생하는 숏크라트 응력의 보정 방안을 제시하였다. 또한 측정된 변형률을 응력으로 환산할 경우에 적용할 숏크리트 변형계수를 제시하였다.

• Steel and Composite Structures
• /
• 제46권6호
• /
• pp.839-856
• /
• 2023

This work presents a simple four-unknown refined integral plate theory for mechanical and thermal buckling behaviors of functionally graded (FG) plates resting on Visco-Pasternak foundations. The proposed refined high order shear deformation theory has a new displacement field which includes indeterminate integral variables and contains only four unknowns in which any shear correction factor not used, with even less than the conventional theory of first shear strain (FSDT). Governing equations are deduced from the principle of minimum total potential energy and a Navier type analytical solution is adopted for simply supported FG plates. The Visco-Pasternak foundations is considered by adding the impact of damping to the usual foundation model which characterized by the linear Winkler's modulus and Pasternak's foundation modulus. The accuracy of the present model is demonstrated by comparing the computed results with those available in the literature. Some numerical results are presented to show the impact of material index, elastic foundation type, and damping coefficient of the foundation, on the mechanical and thermal buckling behaviors of FG plates.

• 대한치과보철학회지
• /
• 제36권6호
• /
• pp.858-866
• /
• 1998

Soldering is the usual method used to correct an unstable fixed partial denture framework at patient's try-in; However, presoldering base metal alloys is technique-sensitve and results are unstable because it is difficult to maintain uniform heat distribution and to prevent oxidation of an alloy. A cast-joining technique has been developed by Weiss and Munyon for repair, correction and addition to base metal framework. This joining technique eliminates the problem with presoldering of non-precious frameworks. The object of this study was to 1) compare the relative flexure strength and the joining effectiveness of Ni-Cr-Be cast in two pieces and 'pre-soldered' versus in two pieces and 'cast-joined'. 2) determine the effect of increasing the number of retentive grooves on the face of the cast and 3) determine the effect of the relative matched position of groove patterns on flexure strength. The joining effectiveness can be expressed by the ratio of the mean flexure stress of soldered or cast-joined specimens to that of one-piece cast. Resin rods 3mm in diameter were used as pattern of specimens for one-piece casted, presoldered, and cast-joined groups. Cast-joined specimens had two different patterns of retentive grooves on the joined faces. Type A had cross-shaped grooves 1mm in depth. 0.6mm in width. Type B was the same except for the addition of one more retentive groove. In the experiment connecting cast-joined specimens, half of specimens with type A pattern had their patterns on the faces of paired casts matched with each other as mirror image. With the rest pairs, it was proceeded that one of paired casts turned 45 degrees so that the patterns crossed. Half of specimens with type B pattern also had the patterns matched as mirror image; However, here, one of paired casts turned 90 degrees with the other pairs. Retentive groove in this study lacked the intentional undercuts, in contrast with the suggestion of Weiss and Munyon. The specimens were subjected to four-point flexural loading in an Instron testing machine. The midspan flexural stress was calculated at the point of initial plastic strain as determined from a strip-chart recorder or at the point of failure if this occured at a lower stress level. Within the scope of this study, the following results were obtained. 1. The presoldered group showed flexural strength at least 2 times higher than the cast-joined groups. Its joining effectiveness was 82%. 2. In cast-joined groups, the flexural strength of joints with type B patterns exhibited 1.5 times that of joints with type A patterns. Joining effectivenesses were 38% for type B patterns, 25-26% for type A patterns. 3. The relative matched position of groove patterns did not have any significant effect on flexural strength of the cast-joined specimens with either type A patterns or type B patterns(p>.05).

• 대한원격탐사학회지
• /
• 제35권6_1호
• /
• pp.933-944
• /
• 2019

이 연구에서는 영상레이더(synthetic aperture radar; SAR) 이중차분간섭기법(Double-Differential Interferometric SAR; DDInSAR)을 이용하여 남극 로스 빙붕(Ross Ice Shelf)의 동쪽(A지역)과 서쪽(B지역)에 위치한 육지 경계부 지역의 조위변형을 분석하고, 조위예측 모델의 정밀도와 빙붕의 영률(Young's modulus) 추정을 위해 2015-2016년에 획득된 총7장의 Sentinel-1A SAR 영상을 획득하였다. 먼저, 남극 로스해(Ross Sea)에 대한 대표적인 조위예측 모델인 Ross Sea Height-based Tidal Inverse (Ross_Inv) 모델과 DDInSAR영상에서 추출된 빙붕의 조위변형을 비교한 결과, 모델의 조위예측 오차는 동쪽에서는 3.86 cm로 분석되었으며 조위모델에서 역기압효과가 필수적으로 보정되어야 함을 확인하였다. 그러나 서쪽에서는 역기압효과 보정 후에도 큰 오차가 발생하여 조위모델이 부정확할 수 있음을 확인했다. 또한, 조위변형이 나타나는 힌지 영역(hinge zone)의 폭과 얼음두께의 상관성을 나타내는 1차원 탄성 보 모델에 의거하여 얼음의 영률을 계산하였다. 이를 위해 DDInSAR 영상에서 조위에 의한 변위가 나타나기 시작하는 곳을 지반선(grounding line)으로, 조위에 의한 최대변위가 나타나는 지점을 힌지선(hinge line)으로 새롭게 정의했고, 이두선 사이를 힌지 영역으로 정의했다. 반무한 평면체를 가정한 1차원 탄성 보 모델에 의하면 힌지 영역의 폭은 얼음두께의 0.75승에 정비례한다. DDInSAR에서 나타나는 힌지 영역 중 지반선과 힌지선이 직선에 가까운 지역에서 힌지 영역의 폭을 측정하였고, 이를 BEDMAP2 얼음 두께의 0.75승과의 선형 회귀 분석을 통해 로스 빙붕 동쪽과 서쪽 힌지 영역의 영률을 1.77±0.73 GPa로 추정할 수 있었다. 이러한 방법으로 향후 Sentinel-1 영상이 축적되면 더 정밀한 영률을 추정할 수 있을 것으로 기대된다.