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Generation of Subdivision Surface and First-order Shear Deformable Shell Element Based on Loop Subdivision Surface  

김형길 (포스코 열연기술개발팀)
서홍석 (현대자동차 파워트레인연구)
조맹효 (서울대학교 기계항공공학부)
Publication Information
Journal of the Computational Structural Engineering Institute of Korea / v.17, no.2, 2004 , pp. 151-160 More about this Journal
Abstract
In the present study, Loop scheme is applied to generate smooth surfaces. To be consistent with the limit points of target surface, the initial sampling points are properly rearranged. The pointwise errors of curvature and position in the sequence of subdivision process are evaluated in the Loop subdivision scheme. A first-order shear deformable Loop subdivision triangular element which can handle transverse shear deformation of moderately thick shell are developed. The developed element is more general than the previous one based on classical shell theory, since the new one includes the effect of transverse shear deformation and has standard six degrees of freedom per node. The quartic box spline function is used as interpolation basis function. Numerical examples for the benchmark static shell problems are analyzed to assess the performance of the developed subdivision shell element and locking trouble.
Keywords
loop-subdivision triangular element; sampling points; initial control vertices; limiting points; virtual work principle; finite element analysis;
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