• Structural Engineering and Mechanics
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• 제75권6호
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• pp.747-769
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• 2020

This paper provides a semi-analytical approach to investigate the variations of 3D displacement components, electric potential, stresses, electric displacements and transverse vibration frequencies in laminated piezoelectric composite plates based on the scaled boundary finite element method (SBFEM) and the precise integration algorithm (PIA). The proposed approach can analyze the static and dynamic responses of multilayered piezoelectric plates with any number of laminae, various geometrical shapes, boundary conditions, thickness-to-length ratios and stacking sequences. Only a longitudinal surface of the plate is discretized into 2D elements, which helps to improve the computational efficiency. Comparing with plate theories and other numerical methods, only three displacement components and the electric potential are set as the basic unknown variables and can be represented analytically through the transverse direction. The whole derivation is built upon the three dimensional key equations of elasticity for the piezoelectric materials and no assumptions on the plate kinematics have been taken. By virtue of the equilibrium equations, the constitutive relations and the introduced set of scaled boundary coordinates, three-dimensional governing partial differential equations are converted into the second order ordinary differential matrix equation. Furthermore, aided by the introduced internal nodal force, a first order ordinary differential equation is obtained with its general solution in the form of a matrix exponent. To further improve the accuracy of the matrix exponent in the SBFEM, the PIA is employed to make sure any desired accuracy of the mechanical and electric variables. By virtue of the kinetic energy technique, the global mass matrix of the composite plates constituted by piezoelectric laminae is constructed for the first time based on the SBFEM. Finally, comparisons with the exact solutions and available results are made to confirm the accuracy and effectiveness of the developed methodology. What's more, the effect of boundary conditions, thickness-to-length ratios and stacking sequences of laminae on the distributions of natural frequencies, mechanical and electric fields in laminated piezoelectric composite plates is evaluated.

• Structural Engineering and Mechanics
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• 제74권3호
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• pp.365-380
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• 2020

The focus of this paper is to develop an analytical approach based on an efficient shear deformation theory with stretching effect for bending stress analysis of cross-ply laminated composite plates subjected to transverse parabolic load and line load by using a new kinematic model, in which the axial displacements involve an undetermined integral component in order to reduce the number of unknowns and a sinusoidal function in terms of the thickness coordinate to include the effect of transverse shear deformation. The present theory contains only five unknowns and satisfies the zero shear stress conditions on the top and bottom surfaces of the plate without using any shear correction factors. The governing differential equations and its boundary conditions are derived by employing the static version of principle of virtual work. Closed-form solutions for simply supported cross-ply laminated plates are obtained applying Navier's solution technique, and the numerical case studies are compared with the theoretical results to verify the utility of the proposed model. Lastly, it can be seen that the present outlined theory is more accurate and useful than some higher-order shear deformation theories developed previously to study the static flexure of laminated composite plates.

• Steel and Composite Structures
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• 제44권5호
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• pp.721-740
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• 2022

In this paper, an accurate kinematic model has been developed to study the mechanical response of functionally graded (FG) sandwich beams, mainly covering the bending, buckling and free vibration problems. The studied structure with homogeneous hardcore and softcore is considered to be simply supported in the edges. The present model uses a new refined shear deformation beam theory (RSDBT) in which the displacement field is improved over the other existing high-order shear deformation beam theories (HSDBTs). The present model provides good accuracy and considers a nonlinear transverse shear deformation shape function, since it is constructed with only two unknown variables as the Euler-Bernoulli beam theory but complies with the shear stress-free boundary conditions on the upper and lower surfaces of the beam without employing shear correction factors. The sandwich beams are composed of two FG skins and a homogeneous core wherein the material properties of the skins are assumed to vary gradually and continuously in the thickness direction according to the power-law distribution of volume fraction of the constituents. The governing equations are drawn by implementing Hamilton's principle and solved by means of the Navier's technique. Numerical computations in the non-dimensional terms of transverse displacement, stresses, critical buckling load and natural frequencies obtained by using the proposed model are compared with those predicted by other beam theories to confirm the performance of the proposed theory and to verify the accuracy of the kinematic model.

• 한국구조물진단유지관리공학회 논문집
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• 제28권3호
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• pp.27-36
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• 2024

이 연구의 목적은 생산공정에서 발생할 수 있는 제작오차를 고려한 BIM 절차를 구축하고, 스플라이스 슬리브 공법으로 접합된 프리캐스트 전경량 골재콘크리트 특수전단벽(precast all-lightweight aggregate concrete special shear walls, PLASW)의 휨 연성 모델을 제시하는 데에 있다. 생산현장에서 제작된 PALSW의 콘크리트 피복 두께는 Revit BIM 프로그램으로 모델링된 단면상세보다 평균 1.28배 컸으며, 특히, 후프철근과 내부 크로스타이의 구부림 내면 반지름은 설계 단면상세보다 더 크게 있었다. 결과적으로 띠철근의 제작오차로 인해 코어 콘크리트의 구속비율이 64%에서 54%로 감소하였으며, PALSW의 휨 연성은 약 4.91% 감소하였다. 이 실험결과를 고려하여, 스플라이스 슬리브 공법으로 접합된 PLASW의 BIM 모델링은 띠철근의 구부림 내면 반지름을 보완해야 하며, 구속된 콘크리트의 응력-변형률 관계에서 구속압의 감소를 반영하여 취성도 증가계수는 1.8로 평가될 수 있다.

• Composites Research
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• 제12권6호
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• pp.53-64
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• 1999

LCP원섬유(fibril)와 폴리아미드6 (PA6)수지로 사출성형된 복합재료 박판(molded thin composite plaques)의 미세구조와 굽힘강도에 대한 에폭시수지 함유율의 효과를 살펴보았다. 성형은 LCP원섬유의 용융점 이하에서 하였으며 이렇게 만들어진 판재는 횡방향 배향을 보이는 두께 $65-120{\mu\textrm{m}}$의 표피층(surface skin layer), 유동방향과 거의 일치하는 배향을 보이는 표피아래층(sub-skin layer), 아크형 곡선유동형태를 보이는 심층(core layer)으로 구성되어 있었다. 에폭시함유율이 달라도 각 층의 미세구조방향은 유사하였으나 에폭시함유율이 증가함에 따라 LCP영역(domain)이 원섬유상에서 층상구조로 변했고 거시적 파괴진로(fracture path)는 인장형에서 전단형으로 바뀌었다. 또한 에폭시 4.8vol%에서 가장 우수한 굽힘강도와 파단변형율을 보였다. 굽힘강도를 수치해석한 결과 에폭시성분을 복합재에 부가하면 각 층의 두께와 미세구조 같은 기하학적인 형태가 변하면서 각 층 자체의 탄성계수와 강도가 열등화 되었음을 알았다.

• Steel and Composite Structures
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• 제36권3호
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• pp.261-272
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• 2020

A novel precast concrete-encased steel composite beam, which can be abbreviated as PCES beam, is introduced in this paper. In order to investigate the shear behavior of this PCES beam, a test of eight full-scale PCES beam specimens was carried out, in which the specimens were subjected to positive bending moment or negative bending moment, respectively. The factors which affected the shear behavior, such as the shear span-to-depth aspect ratio and the existence of concrete flange, were taken into account. During the test, the load-deflection curves of the test specimens were recorded, while the crack propagation patterns together with the failure patterns were observed as well. From the test results, it could be concluded that the tested PCES beams could all exhibit ductile shear behavior, and the innovative shear connectors between the precast concrete and cast-in-place concrete, namely the precast concrete transverse diaphragms, were verified to be effective. Then, based on the shear deformation compatibility, a theoretical model for predicting the shear capacity of the proposed PCES beams was put forward and verified to be valid with the good agreement of the shear capacities calculated using the proposed method and those from the experiments. Finally, in order to facilitate the preliminary design in practical applications, a simplified calculation method for predicting the shear capacity of the proposed PCES beams was also put forward and validated using available test results.

• Steel and Composite Structures
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• 제41권5호
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• pp.697-711
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• 2021

In this work, a simple quasi 3-D parabolic shear deformation theory is developed to examine the bending response of antisymmetric cross-ply laminated composite plates under different types of mechanical loading. The main feature of this theory is that, in addition to including the transverse shear deformation and thickness stretching effects, it has only five-unknown variables in the displacement field modeling like Mindlin's theory (FSDT), yet satisfies the zero shear stress conditions on the top and bottom surfaces of the plate without requiring a shear correction factor. The static version of principle of virtual work was employed to derive the governing equations, while the bending problem for simply supported antisymmetric cross-ply laminated plates was solved by a Navier-type closed-form solution procedure. The adequacy of the proposed model is handled by considering the impact of side-to-thickness ratio on bending response of plate through several illustrative examples. Comparison of the obtained numerical results with the other shear deformation theories leads to the conclusion that the present model is more accurate and efficient in predicting the displacements and stresses of laminated composite plates.

• Steel and Composite Structures
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• 제44권4호
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• pp.451-471
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• 2022

In the present paper, the static bending and buckling responses of functionally graded carbon nanotubes-reinforced composite (FG-CNTRC) beam under various boundary conditions are investigated within the framework of higher shear deformation theory. The significant feature of the proposed theory is that it provides an accurate parabolic distribution of transverse shear stress through the thickness satisfying the traction-free boundary conditions needless of any shear correction factor. Uniform (UD) and four graded distributions of CNTs which are FG-O, FG-X, FG- and FG-V are selected here for the analysis. The effective material properties of FG-CNTRC beams are estimated according to the rule of mixture. To model the FG-CNTRC beam realistically, an efficient Hermite-Lagrangian finite element formulation is successfully developed. The accuracy and efficiency of the present model are demonstrated by comparison with published benchmark results. Moreover, comprehensive numerical results are presented and discussed in detail to investigate the effects of CNTs volume fraction, distribution patterns of CNTs, boundary conditions, and length-to-thickness ratio on the bending and buckling responses of FG-CNTRC beam. Several new referential results are also reported for the first time which will serve as a benchmark for future studies in a similar direction. It is concluded that the FG-X-CNTRC beam is the strongest beam that carries the lowest central deflection and is followed by the UD, V, Λ, and FG-O-CNTRC beam. Besides, the critical buckling load belonging to the FG-X-CNTRC beam is the highest, followed by UD and FG-O.

• 구강회복응용과학지
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• 제29권4호
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• pp.327-336
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• 2013

본 연구에서는 두 종류의 유리 섬유 의치상 강화재인 Quarts Splint$^{TM}$Mesh와 SES MESH$^{(R)}$의 의치상 보강 효과와 열 순환이 의치상의 굽힘 강도와 강화재의 강화 효과에 미치는 영향을 알아보고자 하였다. 시편은 $2.5{\times}10.0{\times}65.0mm$ 크기로 강화재를 사용하지 않은 대조군, 금속 격자 강화재, Splint$^{TM}$Mesh, SES MESH$^{(R)}$로 보강한 시편을 각각 20개씩 제작하였으며 그 중 10개에는 열 순환을 시행하였다. 3점 굽힘 실험을 시행하여 의치상의 굽힘 강도를 측정하였다. Quarts Splint$^{TM}$Mesh와 SES MESH$^{(R)}$로 강화한 군은 대조군보다 유의하게 높은 굽힘 강도를 나타내었으며(P<.05), 금속 격자 강화재로 보강한 군보다 유의하게 낮은 굽힘 강도를 나타내었다(P<.05). 모든 군에서 열 순환을 시행한 경우가 열 순환을 시행하지 않은 경우에 비해 낮은 굽힘 강도를 나타내었지만 대조군에서만 유의한 차이를 나타내었다(P<.05).

• 한국항해항만학회지
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• 제33권1호
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• pp.27-33
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• 2009

압축하중 및 횡하중의 조합하중을 받는 연속 보강판넬의 좌굴강도 및 최종강도의 평가는 선체구조 안정성을 재고하는데 아주 중요한 요소이다. 예를들면, 선박의 공창 상태에서 선체외판은 수압하중에 의해서 파생되는 횡방향 면내 압축하중과 선체외판에 작용하는 횡하중은 대표적인 하중 성분이다. 지금까지의 대부분의 연구 결과들은 실험테스트 및 이론석인 접근 그리고 수치계산 방법에 의해서 수행되었으며, 단일 판 또는 보강판의 조합하중에 대한 많은 업적들이 있다. 그러나, 이들 중 대부분의 연구는 종방향 면내 압축하중과 횡하중에 의한 연구결과가 대부분이며, 횡방항 면내 압축하중과 횡하중에 대한 결과들은 상대적으로 많지가 않다. 게다가 이전의 연구들은 주고 네변 단순지지된 판부재를 고려하였으나, 실제의 구조를 고려해보면, 횡방향 프레임과 종방향 거더들이 교차되어 있는 보강 판넬 구조이다. 본 연구는, 3척의 실적선에서 얻은 이중저 판넬 모델을 적용하고, 횡하중의 크기를 변수로 한 탄소성대변형 유한요소해석을 수행하였다. 이러한 여러 가지 수치 해석을 통하여, 횡하중의 크기 변화에 대한 영향과 횡방향 압축하중이 작용하는 붕괴 매커니즘에 대해서 고찰하였다.