The current communication is a state-of-the-art review of the recently developed
Isogeometric analysis and its various applications such as structural, thermal, fluid–structure …

Isogeometric analysis (IGA), an approach that integrates CAE into conventional CAD design
tools, has been used in structural optimization for 10 years, with plenty of excellent research …

We consider a phase field model for the formulation and solution of topology optimization
problems in the minimum compliance case. In this model, the optimal topology is obtained …

This review presents developments in structural shape optimization post 2000 from
perspective of numerical analysis techniques. Traditional shape optimization with FEM has …

We present isogeometric shape optimization for shell structures applying sensitivity
weighting and semi-analytical analysis. We use a rotation-free shell formulation and all …

We develop a T-spline isogeometric boundary element method (IGABEM)(Simpson et al.,
2012; Scott et al., 2013; Simpson et al., 2014) to shape sensitivity analysis and gradient …

The present work addresses shape sensitivity analysis and optimization in two‐dimensional
elasticity with a regularized isogeometric boundary element method (IGABEM). Non‐uniform …

In the present work, a simple, efficient and accurate Bézier extraction based T-spline XIGA
(BEBT-XIGA) has been proposed for the crack simulations. Bézier extraction maps T-spline …

The paper discusses the filtering of shape sensitivities as a mesh independent
regularization method for very large problems of shape optimal design. The vertices of the …

The present communication introduces a non-uniform rational B-splines based isogeometric
design framework for thin-walled composite shells. The framework is aimed at optimising the …