• 대한기계학회논문집
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• 제17권11호
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• pp.2752-2761
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• 1993

The purpose of this study is to confirm the decreasing problems of residual bending strength, and the fracture machanism experimentally when CFRP composite laminates are subjected to Foreign Object Damage. Composite laminates used for this experiment are CFRP orthotropy laminated plates, which have two-interfaces [O/sub 6//sup o//90/sub 6//sup o/]sub sym/ and four-interfaces [O/sub 3//sup o//90/sub 6//sup o//O/sub 3//sup o]/sub sym/. When the specimen is subjected to transverse impact by a steel ball, the delamination area generated by impact damage is observed by using SAM(Scanning Acoustic Microscope). also, Thefracture surfaces obtained by three-point bending test were observed by using SEM (Scanning Electron Microscope). Then, fracture mechanism was investigated based on the observed delamination area and fracture surface. The results were summarized as follows; (1) It is found that for the specimen with more interface, the critical delamination energy is increased while delamination-development energy is decreased. (2) Residual bending strength of specimen A is greater than that of Specimen B within the impact range of impact energy 1. 65J (impacted-side compression) and 1. 45J (impacted-side tension). On the other hand, when the impact energy is beyond the above ranges, residual bending strength of specimen A is smaller than that of specimen B. (3) In specimen A and B, residual strength of CFRP plates subjected to impact damage is lower in the impacted-side compression than in the impacted-side tension. (4) In the case of impacted-side compression, fracture is propagated from the transverse crack generat-ed near impact point. On the other hand, fracture is developed toward the impact point from the edge of interface-B delamination in the case of impacted-side tension.

• Structural Engineering and Mechanics
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• 제3권2호
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• pp.121-133
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• 1995

It is well known that two-dimensional simplified third-order theories satisfy the layer interface continuity of transverse shear strains, thus these theories violate the continuity of transverse shear stresses when two consecutive layers differ either in fibre orientation or material. The third-order theories considered herein involve four/or five dependent unknowns in the displacement field and satisfy the condition of vanishing of transverse shear stresses at the bounding planes of the plate. The objective of this investigation is to examine (i) the flexural response prediction accuracy of these third-order theories compared to exact elasticity solution (ii) the effect of layer interface continuity conditions on the flexural response. To investigate the effect of layer interface continuity conditions, three-dimensional elasticity solutions are developed by enforcing the continuity of different combinations of transverse stresses and/or strains at the layer interfaces. Three dimensional twenty node solid finite element (having three translational displacements as degrees of freedom) without the imposition of any of the conditions on the transverse stresses and strains is also employed for the flexural analysis of the laminated plates for the purposes of comparison with the above theories. These shear deformation theories and elasticity approaches in terms of accuracy, adequacy and applicability are examined through extensive numerical examples.

• Steel and Composite Structures
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• 제21권6호
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• pp.1347-1368
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• 2016

In this article, an exact analytical solution for mechanical buckling analysis of symmetrically cross-ply laminated plates including curvature effects is presented. The equilibrium equations are derived according to the refined nth-order shear deformation theory. The present refined nth-order shear deformation theory is based on assumption that the in-plane and transverse displacements consist of bending and shear components, in which the bending components do not contribute toward shear forces and, likewise, the shear components do not contribute toward bending moments The most interesting feature of this theory is that it accounts for a parabolic variation of the transverse shear strains across the thickness and satisfies the zero traction boundary conditions on the top and bottom surfaces of the plate without using shear correction factors. Buckling of orthotropic laminates subjected to biaxial inplane is investigated. Using the Navier solution method, the differential equations have been solved analytically and the critical buckling loads presented in closed-form solutions. The sensitivity of critical buckling loads to the effects of curvature terms and other factors has been examined. The analysis is validated by comparing results with those in the literature.

• Advances in Computational Design
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• 제5권3호
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• pp.209-231
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• 2020

In order to evaluate the performance of three heuristic optimization algorithms, namely, simulated annealing (SA), genetic algorithm (GA) and particle swarm optimization (PSO) for optimal stacking sequence of laminated composite plates with respect to critical buckling load and non-dimensional natural frequencies, a multi-objective optimization procedure is developed using the weighted summation method. Classical lamination theory and first order shear deformation theory are employed for critical buckling load and natural frequency computations respectively. The analytical critical buckling load and finite element calculation schemes for natural frequencies are validated through the results obtained from literature. The comparative study takes into consideration solution and computational time parameters of the three algorithms in the statistical evaluation scheme. The results indicate that particle swarm optimization (PSO) considerably outperforms the remaining two methods for the special problem considered in the study.

• 한국전산구조공학회논문집
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• 제17권1호
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• pp.21-30
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• 2004

본 연구에서는 유한요소법을 이용한 채널단면을 갖는 복합재료 적층 구조물의 자유진동을 다룬다. 복합적층 절판구조물에 고차항 판이론을 적용하기 위하여 개발된 유한요소 프로그램은 Lagrangian 및 Hermite 보간함수를 병용하여 면내회전각 자유도를 포함한 절점 당 8개의 자유도를 갖는다. 전단보정계수의 가정을 필요로 하지 않고 전단변형의 3차항 비선형 특성이 고려된 본 논문의 절판 요소는 국부좌표계와 전체좌표계에 대한 좌표변환행렬에 의하여 요소 당 32×32의 국부요소행렬로 구성된다. 본 해석 프로그램의 결과는 기존의 고전적 이론 및 일차항 이론에 의한 문헌 결과와 비교ㆍ분석하였으며, 화이버 보강각도, 길이-두께비, 기하학적 형상 변화 등의 다양한 매개변수 연구를 수행하였다. 본 연구에서는 특히 경계조건 및 길이-두께비 변화에 따라 예측하기 힘든 복잡한 거동을 보이는 복합적층 채널단면 구조물의 자유진동에 대하여 정밀한 고차항 이론 적용에 의한 엄밀 해석의 필요성을 제기하였다.

• Composites Research
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• 제29권5호
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• pp.299-305
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• 2016

본 연구는 이변량 Gaussian 분포함수를 적용하여 CFRP 적층판의 섬유물성 변화를 추정하는 방법을 제안하였다. 섬유의 손상 분포를 규명하기 위하여 수정된 이변량 Gaussian 분포함수를 적용하여 5개의 미지 변수가 고려되었다. 조합된 컴퓨터 기법을 적용하여 역문제를 해결하기 위하여 본 연구에서는 몇 개의 고유진동수와 모드 정보를 입력데이터로 활용하였다. 수치해석 예제는 제안된 기법이 적층배열 변화에 따른 CFRP 판의 섬유 손상 분포 및 위치를 규명할 수 있는 적합하고 실용적은 방법임을 보여준다.

• Steel and Composite Structures
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• 제19권1호
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• pp.93-110
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• 2015

The thermomechanical bending response of anti-symmetric cross-ply composite plates is investigated by the use of the simple four variable sinusoidal plate theory. The theory accounts for sinusoidal distribution of transverse shear stress, and satisfies the free transverse shear stress conditions on the top and bottom surfaces of the plate without using shear correction factor. By dividing the transverse displacement into bending and shear parts, the number of unknowns and governing equations for the present theory is reduced, significantly facilitating engineering analysis. The validity of the present theory is demonstrated by comparison with solutions available in the literature. Numerical results are presented to demonstrate the behavior of the system. The influences of aspect ratio, side-to-thickness ratio, thermal expansion coefficients ratio and stacking sequence on the thermally induced response are studied. The present study is relevant to aerospace, chemical process and nuclear engineering structures which may be subjected to intense thermal loads.

• 대한기계학회논문집
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• 제16권12호
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• pp.2306-2314
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• 1992

본 연구에서는 Lagrangian 방정식을 이용해 알루미늄, CFRP, GFRP, BFRP 등으 로 혼합적층된 cross-ply 사각판에 대해 굽힘-신장연성을 고려하여 Runge-Kutta Gill 법을 적용하여 수치적으로 비선형진동해석을 수행하였다.그리고 여러가지 적층방법 에 따라 비선형 진동에 어떠한 영향이 미치는가를 검토하였으며, 형상비(a/b), 모우드 의 변화 그리고 탄성계수비에 따른 비선형진동 거동을 규명하였다. 한편, 기본진동 수에 대해서는 상용 유한요소프로그램인 ABAQUS의 결과와 비교하였으며, 단일 적층된 판의 비선형진동거동에 대해서는 Singh의 결과와 비교 검토하였다.

• 대한조선학회지
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• 제26권3호
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• pp.21-28
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• 1989

좌굴강도의 관점에서 보강된 복합적층판의 최적 적층 구조를 해석하였다. 복합적층판의 해석에서는 판두께 방향의 전단 변형 효과를 고려한 유한요소법이 적용되었고, 보강 평판의 모델은 판과 비임 요소로 구성되었으며 판의 적층 두께는 동일한 두께의 적층과 대칭으로 이루어졌다. 유리섬유의 방향을 변화시킴으로써 적층 두께의 최적구조를 얻었는데, $[-45^{\circ}/45^{\circ}/90^{\circ}/0^{\circ}]_3$을 갖는 적층판의 경우 가장 큰 좌굴하중을 얻었다. 이 경우 적층수는 8층 이상이었고, 특기할 사항은 같은 방향의 유리섬유층을 모두 함께 모아서 진술한 최적 적층의 구성에 따른 적층판이 가장 큰 좌굴 강도를 나타내었다.

• Steel and Composite Structures
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• 제15권2호
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• pp.203-220
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• 2013

The study of the tensile strength of composite materials is far more complex than analysis of the properties of elasticity and plasticity. Indeed, during mechanical loading, micro-cracks in the matrix, the fibers break, debonding of the interfaces are created. The failure process of composites is of great diversity and cannot be described if even we know: the strength criterion of each individual component, the state of stress and strain in the material, the propagation phenomena cracks in the structure and nature of the interface between the matrix and the reinforcement. This information is only partially known and the obtained by the analysis of a stress limit beyond which there is destruction of the material is almost impossible. To partially process the issue, a solution lies in a mesoscopic approach of seeking a law to locate the ultimate strength of the material for a plane stress state. Tests on rectangular plates in bending PEEK/APC2 and T300/914 three were made and this in order to validate our approach, the calculation has been implemented in a nonlinear finite element code (Castem 2000), in order to make comparison with the numerical results. The results show good agreement between numerical simulation and the two materials; however, it would be interesting to consider other phenomena in the criterion.