• 한국주조공학회지
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• 제11권3호
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• pp.245-253
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• 1991

It is known that the analysis of thermal stresses is substantially important in optimal design of casting mould. In this paper unsteady state thermal stresses generated in ingot and mould during the solidification process are analyzed by the two dimensional thermal elasto-plastic analysis. Distribution of temperature and stress of the mould is calculated using the finite element method and compared with experimental result. The significant results obtained in this study are as follows. At the early stage of the casting process, abrupt temperature change was shown in the vicinity of the inner surface of the mould. The largest temperature gradient is occurred at the corner of the mould. In the thermal stress analysis, compressible stress occurred in the inside wall of the mould where as tensile stress on outside wall. Smaller thermal stress is observed at the rounded corner. It is also observed that the shown is influenced by the thickness of the wall. A fairly good coincidence is found between analytical and experimental results, showing that the proposed analytical methodology is reliable.

• Structural Engineering and Mechanics
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• 제64권1호
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• pp.81-92
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• 2017

Many materials in engineering exhibit different modulus in tension and compression, which are known as bi-modulus materials. Based on the bi-modulus elastic theory, a modified semi-analytical model, by introducing a stress function, is established in this paper to study the mechanical response of a bi-modulus cylinder placed in an axisymmetric temperature field. Meanwhile, a numerical procedure to calculate the temperature stresses in bi-modulus structures is developed. It is proved that the bi-modulus solution can be degenerated to the classical same modulus solution, and is in great accordance with the solutions calculated by the semi-analytical model proposed by Kamiya (1977) and the numerical solutions calculated both by the procedure complied in this paper and by the finite element software ABAQUS, which demonstrates that the semi-analytical model and the numerical procedure are accurate and reliable. The result shows that the modified semi-analytical model simplifies the calculation process and improves the speed of computation. And the numerical procedure simplifies the modeling process and can be extended to study the stress field of bi-modulus structures with complex geometry and boundary conditions. Besides, the necessity to introduce the bi-modulus theory is discussed and some suggestions for the qualitative analysis and the quantitative calculation of such structure are proposed.

• 대한기계학회논문집A
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• 제23권7호
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• pp.1120-1128
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• 1999

An elastic-viscoplastic finite element analysis is performed to investigate detailed growth behavior of creep cracks and the numerical results are compared with experimental results. In Cr-Mo steel stress fields obtained from the crack growth method by mesh translation were compared with both cases that the secondary creep rate is only used as creep material property and the primary creep rate is included. Analytical stress fields, Riedel-Rice(RR) field, Hart-Hui-Riedel(HR) field and Prime(named in here) field, and the results obtained by numerical method were evaluated in details. Time vs. stress at crack tip was showed and crack tip stress fields were plotted. These results were compared with analytical stress fields. There is no difference of stress distribution at remote region between the case of 1st creep rate+2nd creep rate and the case of 2nd creep rate only. In case of slow velocity of crack growth, the effect of 1st creep rate is larger than the one of fast crack growth rate. Stress fields at crack tip region we, in order, Prime field, HR field and RR field from crack tip.

• Advances in materials Research
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• 제9권2호
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• pp.133-153
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• 2020

In this paper, an improved theoretical interfacial stress and slip analysis is presented for simply supported composite steel-concrete beam bonded with an adhesive. The adherend shear deformations have been included in the present theoretical analyses by assuming a linear shear stress through the thickness of the adherends, while all existing solutions neglect this effect. Remarkable effect of shear deformations of elements has been noted in the results. It is observed that large shear is concentrated and slip at the edges of the composite steel-concrete. Comparing with some experimental results from references, analytical advantage of this improvement is possible to determine the normal and shear stress to estimate exact prediction of normal and shear stress interfacial along span between concrete and steel beam. The exact prediction of these stresses will be very important to make an accurate analysis of the mode of fracture. It is shown that both the normal and shear stresses at the interface are influenced by the material and geometry parameters of the composite steel-concrete beam. This research is helpful for the understanding on mechanical behavior of the connection and design of such structures.

• 한국강구조학회 논문집
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• 제16권1호통권68호
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• pp.51-60
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• 2004

본 논문에서는 냉간성형 ㄷ 형강보에 대해 국부좌굴을 고려한 휨해석을 하였다. 유한요소법을 이용하여 주어진 하중 상태에서의 응력을 구한후 국부좌굴 효과를 고려하기 위해규준에서 주어진 유효폭 개념을 이용하여 유효 단면적을 결정하였으며, 결정된 유효 단면적으로부터 응력을 계산 하였다. x축에 대한 휨응력 뿐 아니라 y축에 대한 휨응력과 뒤틀림 응력값을 고려하였으며, 이를 하중이 전단중심에 작용하는 경우와 도심에 작용하는 두가지의 경우에 대하여 연구를 수행하였다. 연구 결과는 하중-처짐 곡선으로 나타내었다.

• 한국산학기술학회논문지
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• 제19권12호
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• pp.294-302
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• 2018

간극수압을 받는 지반보의 응력-변형률 거동 분석을 위해 해석해와 유한요소해석결과를 정량적으로 상호 비교해 보았다. 유한요소해석을 통해 얻은 수평응력은 해석해에 의한 결과와는 달리 지반보의 수평축에 대하여 대칭성을 보이지 않았으나 요소의 개수가 증가함에 따라 대칭에 가까운 형태를 보였다. 해석해에 의한 수평응력을 유한요소의 가우스점에 대하여 얻은 수평응력과 비교해 볼 때 3개의 요소를 고려한 유한요소해석을 통해 얻은 인장응력의 값은 해석해에 의한 최대 인장응력값의 6% 였고 압축응력의 값은 해석해에 의한 최대값의 37% 였다. 6개의 요소를 고려한 유한요소해석을 통해 얻은 인장응력의 값은 해석해를 통해 얻은 최대값의 61% 였고 압축응력의 값은 해석해를 통해 얻은 최대값의 83% 였다. 지반보 내에 발생되는 연직응력은 해석해에 의할 경우 보의 깊이에 따라 연속적인 분포양상을 보인다. 유한요소해석에 의한 연직응력은 유한요소를 구성하는 요소에 따라 이산적인 분포를 보이는데 요소내의 4개의 가우스점에 대하여 얻은 평균 연직응력은 지반보에 작용하는 간극수압의 크기에 가까운 값을 보였다. 지반보의 중앙 근처에서의 연직변위량을 비교해 볼 때 3개의 요소로 구성된 지반보에 대한 유한요소해석을 통해 얻은 값은 해석해에 의한 값의 35% 였으며 6개의 요소로 구성된 지반보에 대한 유한요소해석을 통해 얻은 값은 해석해에 의한 값의 57% 였다.

• Geomechanics and Engineering
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• 제9권5호
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• pp.669-685
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• 2015

A three-dimensional elastoplastic constitutive model, also known as a UH model (Yao et al. 2009), was developed to describe the stress-strain relationship for normally consolidated and over-consolidated soils. In this paper, an acoustic tensor and discriminator of bifurcation for the UH model are derived for the strain localization of saturated clays under undrained and fully and partially drained conditions. Analytical analysis is performed to illustrate the points of bifurcation for the UH model with different three-dimensional stress paths. Numerical analyses of cubic specimens for the bifurcation of saturated clays under undrained and fully and partially drained conditions are conducted using ABAQUS with the UH model. Analytical and numerical analyses show the similar bifurcation behaviour of overconsolidated clays in three-dimensional stress states and various drainage conditions. The results of analytical and numerical analyses show that (1) the occurrence of bifurcation is dependent on the stress path and drainage condition; and (2) bifurcation can appear in either a strain-hardening or strain-softening regime.

• 대한조선학회지
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• 제10권1호
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• pp.15-20
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• 1973

In this paper, it is desired to show a simplified analytical method in estimating the thermal stresses in the heat affected zone of butt welded joint. A finite strip as shown in Fig.1 is taken as a analytical model for stress analysis. Expressing the temperature distributions by Fourier series, the thermal stresses are obtained. From the numerical sample calculation, the following results can be obtained. (1) Thermal stresses can be estimated by the sujected method. (2) The stress component, which is parallel to the weld direction is the largest stress component in major part of the strip. (3) In obtaining a stress component for the engineering purpose, length of the strip can be treated as five times of the thickness with same degree of convergency.

• Computers and Concrete
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• 제15권3호
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• pp.337-355
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• 2015

In this scientific work, an improved analytical solution for adhesive stresses in a concrete beam bonded with the FRP plate is developed by including the effect of the adherend shear deformations. The analysis is based on the deformation compatibility approach where both the shear and normal stresses are assumed to be invariant across the adhesive layer thickness. The shear stress distribution is supposed to be parabolic across the depth of the adherends in computing the adhesive shear stress and Timoshenko's beam theory is employed in predicting adhesive normal stress to consider the shear deformation. Numerical results from the present analysis are presented both to demonstrate the advantages of the present solution over existing ones and to illustrate the main characteristics of adhesive stress distributions.

• Steel and Composite Structures
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• 제45권2호
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• pp.263-279
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• 2022

With the span and arch rib size of concrete-filled steel tube (CFST) arch bridges increase, the hydration heat of pumped mass concrete inside large-size steel tube causes a significant temperature variation, leading to a risk of thermal stress-induced cracking during construction. In order to tackle this phenomenon, a hydration heat conduction model based on hydration degree was established through a nonlinear temperature analysis incorporating an exothermic hydration process to obtain the temperature field of large-size CFST. Subsequently, based on the evolution of elastic modulus based on hydration degree and early-age creep rectification, the finite element model (FEM) model and analytical study were respectively adopted to investigate the variation of the thermal stress of CFST during hydration heat release, and reasonable agreement between the results of two methods is found. Finally, a comparative study of the thermal stress with and without considering early-age creep was conducted.