A one-variable locking-free Reissner-Mindlin plate: variational formulations and isogeometric implementation

Vinh Tran (Speaker)

Activity: Talk or presentation typesConference presentation


We propose variational formulations of isotropic plates based on only one unknown. Herein, the
in-plane displacements are the same as that of Kirchhoff-Love model while the transverse one can
be expressed in term of bending deflection and its Laplace operator. It enables the present model
to be free of shear-locking and also reduce two unknowns as compared to traditional ReissnerMindlin model. However, it produces a fourth-order partial differential equation in strong form,
resulting in the symmetrical third-order differential weak form. Based on these, we develop Isogeometric Galerkin formulations with B-Spline basic functions of order p ≥ 3 to naturally fulfill
the stringent C2-continuity. Convergence study and shear-locking test are presented to show the
reliability and effective of the proposed formulations.
Period20 Aug 201822 Aug 2018
Event titleBIT Circus: null
Event typeConference
LocationEspoo, Finland


  • Plate theory
  • Isogeometric analysis