• 제목/요약/키워드: 3D elastic problem

검색결과 51건 처리시간 0.027초

A General approach to the wrinkling instability of sandwich plates

  • Vonach, Walter K.;Rammerstorfer, Franz G.
    • Structural Engineering and Mechanics
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    • 제12권4호
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    • pp.363-376
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    • 2001
  • Sandwich plates are widely used in lightweight design due to their high strength and stiffness to weight ratio. Due to the heterogeneous structure of sandwich plates, they can exhibit local instabilities (wrinkling), which lead to a sudden loss of stiffness in the structure. This paper presents an analytical solution to the wrinkling problem of sandwich plates. The solution is based on the Rayleigh-Ritz method, by assuming an appropriate deformation field. In contrast to the other approaches up to now, this model takes arbitrary and different orthotropic face layers, finite core thickness and orthotropic core material into account. This approach is the first to cover the wrinkling of unsymmetric sandwiches and sandwiches composed of orthotropic FRP face layers, which are most common in advanced lightweight design. Despite the generality of the solution, the computational effort is kept within bounds. The results have been verified using other analytical solutions and unit cell 3D FE calculations.

3-O-cetyl-L-ascorbic acid의 주름 개선 효과 (Anti-wrinkle effect of 3-O-cetyl-L-ascorbic acid)

  • 박창민;이순영;정민석;최종완
    • 대한화장품학회지
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    • 제34권4호
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    • pp.303-309
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    • 2008
  • 건강한 피부 기능의 악화 원인으로는 콜라겐 섬유 감소, 탄력섬유 변성, 활성산소종의 과다 생성 등이 있다. 이로 인하여 피부 탄력 저하나 주름이 생성된다. 피부 탄력 저하 및 주름 생성과 같은 피부 노화를 개선하기 위해 대표적으로 비타민 A, C 및 그 유도체들이 화장품에 적용되고 있지만 화학적 불안정성의 문제점이 있어 새로운 유도체들의 합성 개발에 노력을 기울이고 있다. 본 연구에서는 피부개선을 위한 화장품 원료로 최근 비타민 C로부터 새롭게 합성된 3-O-cetyl-L-ascorbic acid (VCCE)의 주름 개선과 관련된 효능 효과를 평가하였다. VCCE의 in vitro 실험 결과 procollagen type I의 합성을 0.002%에서 최대 149% 증가시켰다. 또한 인체적용시험에서 일차적으로 폐쇄 첩포 실험 결과 자극이 유발되지 않았으며, 모사판 분석 및 PRIMOS system을 이용한 주름측정결과에서도 주름개선효과를 확인하였다. 결과적으로, VCCE는 주름 개선을 위한 화장품 성분으로서 높은 응용 가치를 제시한다.

Derivation of response spectrum compatible non-stationary stochastic processes relying on Monte Carlo-based peak factor estimation

  • Giaralis, Agathoklis;Spanos, Pol D.
    • Earthquakes and Structures
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    • 제3권5호
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    • pp.719-747
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    • 2012
  • In this paper a novel approach is proposed to address the problem of deriving non-stationary stochastic processes which are compatible in the mean sense with a given (target) response (uniform hazard) spectrum (UHS) as commonly desired in the aseismic structural design regulated by contemporary codes of practice. The appealing feature of the approach is that it is non-iterative and "one-step". This is accomplished by solving a standard over-determined minimization problem in conjunction with appropriate median peak factors. These factors are determined by a plethora of reported new Monte Carlo studies which on their own possess considerable stochastic dynamics merit. In the proposed approach, generation and treatment of samples of the processes individually on a deterministic basis is not required as is the case with the various "two-step" approaches found in the literature addressing the herein considered task. The applicability and usefulness of the approach is demonstrated by furnishing extensive numerical data associated with the elastic design UHS of the current European (EC8) and the Chinese (GB 50011) aseismic code provisions. Purposely, simple and thus attractive from a practical viewpoint, uniformly modulated processes assuming either the Kanai-Tajimi (K-T) or the Clough-Penzien (C-P) spectral form are employed. The Monte Carlo studies yield damping and duration dependent median peak factor spectra, given in a polynomial form, associated with the first passage problem for UHS compatible K-T and C-P uniformly modulated stochastic processes. Hopefully, the herein derived stochastic processes and median peak factor spectra can be used to facilitate the aseismic design of structures regulated by contemporary code provisions in a Monte Carlo simulation-based or stochastic dynamics-based context of analysis.

Parametric study of laterally loaded pile groups using simplified F.E. models

  • Chore, H.S.;Ingle, R.K.;Sawant, V.A.
    • Coupled systems mechanics
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    • 제1권1호
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    • pp.1-7
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    • 2012
  • The problem of laterally loaded piles is particularly a complex soil-structure interaction problem. The flexural stresses developed due to the combined action of axial load and bending moment must be evaluated in a realistic and rational manner for safe and economical design of pile foundation. The paper reports the finite element analysis of pile groups. For this purpose simplified models along the lines similar to that suggested by Desai et al. (1981) are used for idealizing various elements of the foundation system. The pile is idealized one dimensional beam element, pile cap as two dimensional plate element and the soil as independent closely spaced linearly elastic springs. The analysis takes into consideration the effect of interaction between pile cap and soil underlying it. The pile group is considered to have been embedded in cohesive soil. The parametric study is carried out to examine the effect of pile spacing, pile diameter, number of piles and arrangement of pile on the responses of pile group. The responses considered include the displacement at top of pile group and bending moment in piles. The results obtained using the simplified approach of the F.E. analysis are further compared with the results of the complete 3-D F.E. analysis published earlier and fair agreement is observed in the either result.

경계반력법에 의한 비선형 SSI 해석을 위한 선형 FE 해석모델 검증 (Verification of Linear FE Model for Nonlinear SSI Analysis by Boundary Reaction Method)

  • 이계희;홍관영;이은행;김재민
    • 한국전산구조공학회논문집
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    • 제27권2호
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    • pp.95-102
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    • 2014
  • 이 논문에서는 경계반력법을 이용한 비선형 지반-구조물 상호작용 해석을 위해 LS-DYNA나 MIDAS/Civil 등의 유한요소해석 프로그램과 연계하는 방법을 제시하였다. 경계반력법 적용시 유한요소프로그램에서 구조물과 지반은 선형 또는 비선형 유한요소를 이용하여 모델링하였다. 유한요소의 해석모델 외부의 무한영역으로 전달되는 탄성파를 최대한 흡수하기위해 유한요소 모델의 외측에 LS-DYNA의 경우에는 PML(Perfectly Matched Layer) 요소를, MIDAS/Civil의 경우에는 점성감쇠-스프링 요소를 적용하였다. 비선형 유한요소는 구조물영역에만 적용되는 것으로 가정하였다. 이 연구에서는 입사지진파에 의한 경계반력은 KIESSI-3D 프로그램을 이용하여 계산하였다. 선형 지반-구조물 상호작용 문제에 대해 일반적인 KIESSI-3D의 해석결과와 BRM해석결과를 비교하여 제시된 방법의 효율성을 제시하였다. 또한 수치적 비교를 통해 비선형 구조에 대해 보수적인 응답을 보이는 선형 SSI문제에 대하여 얻은 경계반력이 비선형 지반-구조물 상호작용해석에 효과적으로 적용 가능함을 알 수 있었다.

Fluid flow profile in the "orthotropic plate+compressible viscous fluid+rigid wall" system under the action of the moving load on the plate

  • Akbarov, Surkay D.;Huseynova, Tarana V.
    • Coupled systems mechanics
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    • 제9권3호
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    • pp.289-309
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    • 2020
  • The paper studies the fluid flow profile contained between the orthotropic plate and rigid wall under the action of the moving load on the plate and main attention is focused on the fluid velocity profile in the load moving direction. It is assumed that the plate material is orthotropic one and the fluid is viscous and barotropic compressible. The plane-strain state in the plate and the plane flow of the fluid is considered. The motion of the plate is described by utilizing the exact equations of elastodynamics for anisotropic bodies, however, the flow of the fluid by utilizing the linearized Navier-Stokes equations. For the solution of the corresponding boundary value problem, the moving coordinate system associated with the moving load is introduced, after which the exponential Fourier transformation is employed with respect to the coordinate which indicates the distance of the material points from the moving load. The exact analytical expressions for the Fourier transforms of the sought values are obtained, the originals of which are determined numerically. Presented numerical results and their analyses are focused on the question of how the moving load acting on the face plane of the plate which is not in the contact with the fluid can cause the fluid flow and what type profile has this flow along the thickness direction of the strip filled by the fluid and, finally, how this profile changes ahead and behind with the distance of the moving load.

Experimental and Numerical Assessment of the Service Behaviour of an Innovative Long-Span Precast Roof Element

  • Lago, Bruno Dal
    • International Journal of Concrete Structures and Materials
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    • 제11권2호
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    • pp.261-273
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    • 2017
  • The control of the deformative behaviour of pre-stressed concrete roof elements for a satisfactory service performance is a main issue of their structural design. Slender light-weight wing-shaped roof elements, typical of the European heritage, are particularly sensitive to this problem. The paper presents the results of deformation measurements during storage and of both torsional-flexural and purely flexural load tests carried out on a full-scale 40.5 m long innovative wing-shaped roof element. An element-based simplified integral procedure that de-couples the evolution of the deflection profile with the progressive shortening of the beam is adopted to catch the experimental visco-elastic behaviour of the element and the predictions are compared with normative close-form solutions. A linear 3D fem model is developed to investigate the torsional-flexural behaviour of the member. A mechanical non-linear beam model is used to predict the purely flexural behaviour of the roof member in the pre- and post-cracking phases and to validate the loss prediction of the adopted procedure. Both experimental and numerical results highlight that the adopted analysis method is viable and sound for an accurate simulation of the service behaviour of precast roof elements.

Dynamic response of functionally gradient austenitic-ferritic steel composite panels under thermo-mechanical loadings

  • Isavand, S.;Bodaghi, M.;Shakeri, M.;Mohandesi, J. Aghazadeh
    • Steel and Composite Structures
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    • 제18권1호
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    • pp.1-28
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    • 2015
  • In this paper, the dynamic response of functionally gradient steel (FGS) composite cylindrical panels in steady-state thermal environments subjected to impulsive loads is investigated for the first time. FGSs composed of graded ferritic and austenitic regions together with bainite and martensite intermediate layers are analyzed. Thermo-mechanical material properties of FGS composites are predicted according to the microhardness profile of FGS composites and approximated with appropriate functions. Based on the three-dimensional theory of thermo-elasticity, the governing equations of motionare derived in spatial and time domains. These equations are solved using the hybrid Fourier series expansion-Galerkin finite element method-Newmark approach for simply supported boundary conditions. The present solution is then applied to the thermo-elastic dynamic analysis of cylindrical panels with three different arrangements of material compositions of FGSs including ${\alpha}{\beta}{\gamma}M{\gamma}$, ${\alpha}{\beta}{\gamma}{\beta}{\alpha}$ and ${\gamma}{\beta}{\alpha}{\beta}{\gamma}$ composites. Benchmark results on the displacement and stress time-histories of FGS cylindrical panels in thermal environments under various pulse loads are presented and discussed in detail. Due to the absence of similar results in the specialized literature, this paper is likely to fill a gap in the state of the art of this problem, and provide pertinent results that are instrumental in the design of FGS structures under time-dependent mechanical loadings.

Static impedance functions for monopiles supporting offshore wind turbines in nonhomogeneous soils-emphasis on soil/monopile interface characteristics

  • Abed, Younes;Bouzid, Djillali Amar;Bhattacharya, Subhamoy;Aissa, Mohammed H.
    • Earthquakes and Structures
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    • 제10권5호
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    • pp.1143-1179
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    • 2016
  • Offshore wind turbines are considered as a fundamental part to develop substantial, alternative energy sources. In this highly flexible structures, monopiles are usually used as support foundations. Since the monopiles are large diameter (3.5 to 7 m) deep foundations, they result in extremely stiff short monopiles where the slenderness (length to diameter) may range between 5 and 10. Consequently, their elastic deformation patterns under lateral loading differ from those of small diameter monopiles usually employed for supporting structures in offshore oil and gas industry. For this reason, design recommendations (API and DNV) are not appropriate for designing foundations for offshore wind turbine structures as they have been established on the basis of full-scale load tests on long, slender and flexible piles. Furthermore, as these facilities are very sensitive to rotations and dynamic changes in the soil-pile system, the accurate prediction of monopile head displacement and rotation constitutes a design criterion of paramount importance. In this paper, the Fourier Series Aided Finite Element Method (FSAFEM) is employed for the determination of static impedance functions of monopiles for OWT subjected to horizontal force and/or to an overturning moment, where a non-homogeneous soil profile has been considered. On the basis of an extensive parametric study, and in order to address the problem of head stiffness of short monopiles, approximate analytical formulae are obtained for lateral stiffness $K_L$, rotational stiffness $K_R$ and cross coupling stiffness $K_{LR}$ for both rough and smooth interfaces. Theses expressions which depend only on the values of the monopile slenderness $L/D_p$ rather than the relative soil/monopile rigidity $E_p/E_s$ usually found in the offshore platforms designing codes (DNV code for example) have been incorporated in the expressions of the OWT natural frequency of four wind farm sites. Excellent agreement has been found between the computed and the measured natural frequencies.

유체 주입에 의한 단층의 수리역학적 거동 해석: 국제공동연구 DECOVALEX-2019 Task B 연구 현황(Step 1) (Hydro-Mechanical Modelling of Fault Slip Induced by Water Injection: DECOVALEX-2019 TASK B (Step 1))

  • 박정욱;박의섭;김태현;이창수;이재원
    • 터널과지하공간
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    • 제28권5호
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    • pp.400-425
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    • 2018
  • 본 논문에서는 국제공동연구인 DECOVALEX-2019 프로젝트 Task B의 연구결과와 현황을 소개하였다. Task B의 주제는 'Fault slip modelling'으로 유체의 주입으로 인해 발생하는 단층의 재활성(미끄러짐, 전단파괴)과 수리역학적 거동을 예측할 수 있는 해석기법을 개발하는 데에 그 목적이 있다. 1단계 연구는 참가팀들이 연구주제에 대해 숙지하고, 벤치마크 모델을 대상으로 단층의 투수특성과 역학적 거동의 상호작용을 모사할 수 있는 해석코드를 개발할 수 있도록 하는 준비 단계의 연구이다. 본 연구에서는 TOUGH-FLAC 연동해석 기법을 사용하여 물 주입으로 인한 단층의 수리역학적 연계거동을 모사하였다. TOUGH2 해석에서는 단층을 Darcy의 법칙과 삼승법칙을 따르는 연속체 요소로 모델링하였으며, FLAC3D 해석에서는 미끄러짐과 개폐가 허용되는 불연속 인터페이스 요소를 통해 모사하였다. 두 가지 수리간극모델에 대하여 수리역학적 커플링 관계식을 수치화하였으며, 연속체 요소(수리모델)와 인터페이스 요소(역학모델)의 거동을 연계할 수 있는 해석기법을 제시하였다. 또한, 단층의 역학적 변형(간극의 변화)으로 인한 수리물성 변화와 기하학적 변화(해석 메쉬의 변형)를 수리해석에 반영할 수 있는 해석기법을 개발하였다. 다양한 압력의 물을 단계적으로 주입하고 이로 인해 유도되는 단층의 탄성거동 및 전단파괴(미끄러짐)에 대해 살펴보았으며, 수리간극의 변화 양상과 원인, 압력 분포와 주입율의 관계 등을 면밀히 검토하였다. 해석 결과, 본 연구에서 개발한 해석기법이 물 주입으로 인한 단층의 미끄러짐 거동을 합리적인 수준에서 재현할 수 있는 것으로 판단할 수 있었다. 본 연구의 해석모델은 Task B에 참여하는 국외 연구팀들과의 의견 교류와 워크숍을 통해 지속적으로 개선하는 한편, 향후 연구의 현장시험에 적용하여 타당성을 검증할 예정이다.