A large deformation, rotation-free, isogeometric shell

By David J. Benson, Yuri Bazilevs, Ming-Chen Hsu, Thomas J. R. Hughes. 2011

377 citations recorded by the source corpus.

Subfields: Computational Mechanics, Control and Systems Engineering, Mechanical Engineering

View Paper: https://www.semanticscholar.org/paper/20c7a376db5d21bb14abc341443fb16d4ad47919

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In Computational Mechanics

In Control and Systems Engineering

In Mechanical Engineering

Citations in the corpus

Static, free vibration, and buckling analysis of laminated composite Reissner–Mindlin plates using NURBS‐based isogeometric approach (2012, methodology): “For structural mechanics, isogeometric analysis has been extensively studied for nearly incompressible linear and non-linear elasticity and plasticity problem [58], structural vibrations [59], the Reissner–Mindlin shell [60], the Kirchhoff–Love shell [61, 62], the large deformation with rotation-fre”
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 constrained isogeometric parameterized level-set based topology optimization via trimmed elements (2016, methodology): “This method is similar to the lifting operator used for calculating the normals for isogeometric shells [54,55].”
A parameter-free variational coupling approach for trimmed isogeometric thin shells (2017, methodology): “Isogeometric shells have been successfully applied for large-deformation analysis [21], in conjunction with various nonlinear material models [22,23], and in contact and fluid-structure interaction problems [24– 27].”
An implicit G1 multi patch B-spline interpolation for Kirchhoff–Love space rod (2014, neutral): “∗ t := ∂ ∗ p ∂S = ∂p ∂S + θ ∂ν̂ ∂S + θ ∂n̂ ∂S , ∗ n := ∂ ∗ p ∂θn = n̂, ∗ ν := ∂ ∗ p ∂θν = ν̂ (15)”
Isogeometric analysis: An overview and computer implementation aspects (2012, background): “Shell and plate problems are another field where IGA has demonstrated compelling benefits over conventional approaches [19, 20, 21, 22, 23, 24, 25].”