Rotation free isogeometric thin shell analysis using PHT-splines

By N. Nguyen‐Thanh, Josef Kiendl, Hung Nguyen-Xuan, Roland Wüchner, Kai-Uwe Bletzinger, Yuri Bazilevs, Timon Rabczuk. 2011

425 citations recorded by the source corpus.

Subfields: Computational Mechanics, Mechanical Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/3b079a8543ddfe6650e9d4e446b8f8e2eddc2f65

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In Computational Mechanics

In Mechanical Engineering

In Mechanics of Materials

Citations in the corpus

Isogeometric analysis of laminated composite and sandwich plates using a new inverse trigonometric shear deformation theory (2014, methodology): “Isogeometric analysis has been applied to a wide range of practical mechanics problems such as structural vibrations [22], nearly incompressible linear and nonlinear problems [23], structural shape optimization [24], Kirchhoff-Love shell [25, 26, 27], isotropic Reissner-Mindlin shell [28], laminated”
Smooth cubic spline spaces on unstructured quadrilateral meshes with particular emphasis on extraordinary points: Geometric design and isogeometric analysis considerations (2017, methodology): “This brings the results in line with those of [37] which assumed four-fold symmetry.”
Isogeometric analysis: An overview and computer implementation aspects (2012, background): “PHT-splines (polynomial spline over hierarchical T-meshes) have been extended to rational splines and applied in [94, 95] to problems in elasticity for continua and thin structures.”
Isogeometric analysis of functionally graded carbon nanotube-reinforced composite plates using higher-order shear deformation theory (2015, neutral): “isogeometric shell and plate elements were addressed in [28-35].”
Isogeometric collocation for large deformation elasticity and frictional contact problems (2015, background): “In so-called open knot vectors, the first p+ 1 knots and the last p+ 1 terms are equal, so that the basis is interpolatory at the ends.”
Isogeometric analysis of laminated composite and sandwich plates using a layerwise deformation theory (2013, neutral): “Isogeometric analysis has been applied to a wide range of practical mechanics problems such as structural vibrations [23], linear and non-linear elasticity and plasticity [24], and structural shape optimization [25], Kirchhoff-Love shell [26, 27, 28], Reissner-Mindlin plate/shell [29, 30], laminated”
Geometrically nonlinear isogeometric analysis of functionally graded microplates with the modified couple stress theory (2017, background): “IGA are also widely applied to solve for mechanical and thermal behaviours of complex structures such as plates [48, 49, 50] and shells [51, 52, 53, 54].”