• Title/Summary/Keyword: multi-patch formulation

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Studies of Interface Continuity in Isogeometric Structural Analysis for Multi-patch Shell Components (다중 패치 쉘 아이소 지오메트릭 해석의 계면 연속성 검토)

  • Ha, Youn Doh;Noh, Jungmin
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.31 no.2
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    • pp.71-78
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    • 2018
  • This paper presents the assembling of multiple patches based on the single patch isogeometric formulation for the shear deformable shell element given in the previous study. The geometrically exact shell formulation has been accomplished with the shell theory based formulation and the generalized curvilinear coordinate system directly derived from the given NURBS geometry. For the knot elements matching across adjacent surfaces, the zero-th and first parametric continuity conditions are considered and the corresponding coupling constraints are implemented by a master-slave formulation between adjacent patches. The constraints are then enforced by a substitution method for condensation of the slave variables, thereby reducing the model size. Through numerical investigations, the important features of the first parametric continuity condition are confirmed. The performance of the multi-patch shell models is also examined comparing the rate of convergence of response coefficients for the zero and first order continuity conditions and continuity in coupling boundary between two patches is confirmed.

Free Vibration Analysis of Plane Structures with Isogeometric Concept (등기하개념을 이용한 평면구조물의 자유진동해석)

  • Lee, Sang-Jin
    • Journal of the Architectural Institute of Korea Structure & Construction
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    • v.35 no.9
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    • pp.171-182
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    • 2019
  • Isogeometric concept is introduced to carry out free vibration analysis of plane structures. The geometry of structures is represented by using non-uniform rational B-spline surface (NURBS) and its basis function is consistently used in the formulation of plane stress element. In addition, multi-patch strategy is introduced to deal with the openings in building. The performance of the present isogeometric plane stress element is investigated by using five numerical examples. From numerical results, it is found to be that the isogeometric concept can successfully identify reliable natural frequencies and associated mode shapes of plane structures with/without openings in efficient way.

A Low Irritant Liquid Cleanser Composition Developed by Multi-Screening Methods (다탐색(多探索)법을 통한 저자극성 액체 세정제 조성물 개발)

  • Kim Peter;Hyeon Ki-An;Chung Ji-Youn;Yoon Sam-Sook;Kang Han Chyul;Park Sun Hee;Ko King Il;Kim Ki Ho
    • Journal of the Society of Cosmetic Scientists of Korea
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    • v.31 no.1 s.49
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    • pp.51-58
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    • 2005
  • Alkyl ethoxy sulfate type surfactants, widely used in commercial cleansers, are easily adsorbed to skin to often cause skin irritation and inflammation if not thoroughly rinsed nut. In order to replace or complement existing surfactants, we screened the existing surfactants through protein denaturation method, cell cytotoxicity assay and human IL-1$\alpha$ assay, etc. Fourteen surfactants have been chosen from among too irritant anionic, cationic and/or zwitter-ionic ones and investigated for cell cytotoxicity in human fibroblast cell lines using monolayer culture with the thirteen commercially available cleansers for sensitive skin. From these results, we selected 5 surfactants and 2 commercial cleansers (names not shown), such as sodium laureth sulfate (anionic), sodium cocoyl isethionate (anionic), sodium lauroamphoacetate (zwitter-ionic), and cocamidopropyl betaine (zwitter-ionic), alkyl polyglycoside (non-ionic). 20 formulations were made out of 5 surfactants and five of them were chosen through a protein denaturation method (lower than 3 M sodium dodecyl sulfate solution ($13.2\%$)), cell cytotoxicity and human patch test. These five selected formulations containing preservatives were compared to two selected commercial cleansers by cell cytotoxicity and human IL-1$\alpha$ ELISA assay using dermal equivalent. Finally, we selected the best formulation. To this formulation, fructan ($3\%$ or $5\%$) or/and portulaca extract ($3\%$ or $5\%$) well known for its anti-inflammatory and moisturizing effects were added and investigated for cell cytotoxicity using dermal equivalent. In cytotoxicity assay using dermal equivalent, two formulations containing $5\%$ fructan and $3\%$ or $5\%$ portulaca extract were less toxic than the others. In cytotoxicity assay and human IL-1$\alpha$ ELISA using 3D culture, the selected formulation containing $5\%$ fructan and $5\%$ portulaca extract showed better efficiency than those of the others and 2 commercial cleansers. As a result, we could develop a low irritant and safe liquid cleanser.