Isogeometric analysis: an overview and computer implementation aspects

VP Nguyen, C Anitescu, SPA Bordas… - … and Computers in …, 2015 - Elsevier
Isogeometric analysis (IGA) represents a recently developed technology in computational
mechanics that offers the possibility of integrating methods for analysis and Computer Aided …

Structural design optimization using isogeometric analysis: a comprehensive review

Y Wang, Z Wang, Z Xia, LH Poh - Computer Modeling in …, 2018 - ingentaconnect.com
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 …

Thermal buckling of curvilinearly stiffened laminated composite plates with cutouts using isogeometric analysis

B Devarajan, RK Kapania - Composite Structures, 2020 - Elsevier
This research presents the Non-Uniform Rational B-Splines (NURBS) based isogeometric
finite element analysis of stiffened laminated composite plates. A first-order shear …

Nitsche's method for two and three dimensional NURBS patch coupling

VP Nguyen, P Kerfriden, M Brino, SPA Bordas… - Computational …, 2014 - Springer
We present a Nitche's method to couple non-conforming two and three-dimensional non
uniform rational b-splines (NURBS) patches in the context of isogeometric analysis. We …

Revisiting topology optimization with buckling constraints

F Ferrari, O Sigmund - Structural and Multidisciplinary Optimization, 2019 - Springer
We review some features of topology optimization with a lower bound on the critical load
factor, as computed by linearized buckling analysis. The change of the optimized design, the …

Numerical analysis perspective in structural shape optimization: A review post 2000

BD Upadhyay, SS Sonigra, SD Daxini - Advances in Engineering Software, 2021 - Elsevier
This review presents developments in structural shape optimization post 2000 from
perspective of numerical analysis techniques. Traditional shape optimization with FEM has …

Isogeometric shape optimization of smoothed petal auxetic structures via computational periodic homogenization

ZP Wang, LH Poh, J Dirrenberger, Y Zhu… - Computer Methods in …, 2017 - Elsevier
An important feature that drives the auxetic behaviour of the star-shaped auxetic structures is
the hinge-functional connection at the vertex connections. This feature poses a great …

Isogeometric shape optimization of shells using semi-analytical sensitivity analysis and sensitivity weighting

J Kiendl, R Schmidt, R Wüchner… - Computer Methods in …, 2014 - Elsevier
We present isogeometric shape optimization for shell structures applying sensitivity
weighting and semi-analytical analysis. We use a rotation-free shell formulation and all …

Shape optimization directly from CAD: An isogeometric boundary element approach using T-splines

H Lian, P Kerfriden, SPA Bordas - Computer Methods in Applied Mechanics …, 2017 - Elsevier
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 …

Implementation of regularized isogeometric boundary element methods for gradient‐based shape optimization in two‐dimensional linear elasticity

H Lian, P Kerfriden, SPA Bordas - International Journal for …, 2016 - Wiley Online Library
The present work addresses shape sensitivity analysis and optimization in two‐dimensional
elasticity with a regularized isogeometric boundary element method (IGABEM). Non‐uniform …