| Citation: | GE Jianli, YANG Guolai, LU Jia. Advances in isogeometric analysis[J]. Advances in Mechanics, 2012, 42(6): 771-784. doi: 10.6052/1000-0992-12-040
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Isogeometric analysis (IGA) is a current trend in engineering analysis that is likely to leave a significantly impact on Computer-Aided Engineering (CAE). The basic idea of IGA is to utilize CAD geometry to facilitate analysis. This seemingly simple change of geometric language eliminates many bottle-neck issues that plagued CAE for years, and opens a pathway for a tighter integration of design, analysis, and optimization. In this review paper, the background, theory, advantages, and applications of isogeometric analysis are discussed. Topics of algorithmic development, including NURBS bases, T-spline bases, unstructured meshes, efficient quadrature methods, trimmed surface technologies, refinements and so on are reviewed. Recent advances of IGA in shell problems, large deformation, fluid-structure interaction, structural optimization, contact problems, biomechanics, thermal analysis, and electromagnetics are also summarized.
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