Nonlinear Isogeometric Analysis In Simulation-based Design Optimization: State-of-the-art Analysis

The article reviews and critically analyses the isogeometric analysis (IGA) approach with particular focus on the challenges and applications in simulationbased design optimization. IGA is a recently introduced technique in engineering computation and hence it is absorbing a significant size of researcher’s attention. The drive to implement IGA is the flexibility and robustness in modelling and analysis using the state-of-the-art design tools such as B-spline-based basis functions, NURBS, and T-splines. The algorithm for nonlinear IGA problems is developed using Newton‐Raphson method and the nonlinear time integration employs the generalized α-method. In the simulation-based design optimization area in particular, IGA approach outperforms in different applications. However, insignificant researches have been reported in this area. Patch mismatch at interface due to the independent manipulation capability of control points and irregular parameterization at boundaries are encountered, but smoothly solved.