Embedded boundary conditions for shear-deformable plate bending

Isaac Harari*, Chen Balbes, Uri Albocher

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


An efficient procedure for embedding kinematic boundary conditions of shear-deformable plate bending is based on stabilized variational formulations, obtained by Nitsche's approach for enforcing surface constraints. Effective use of the plate thickness as scaling in the rotational constraint terms leads to a uniform problem statement with a single stabilization parameter. An alternative form of the plate kinematics precludes the vulnerability of computation based on the standard Reissner–Mindlin formulation to shear locking, yet raises other challenges in the form of higher-order regularity and unconventional boundary conditions. The embedded boundary Nitsche approach provides a framework that easily accommodates these features. The accuracy of the approach for both plate formulations is verified by representative computations with bicubic B-splines, exhibiting optimal rates of convergence, and robust performance with respect to values of the parameters.

Original languageEnglish
Article number116287
JournalComputer Methods in Applied Mechanics and Engineering
StatePublished - 15 Dec 2023


FundersFunder number
Israel Science Foundation269/17


    • B-splines
    • Kinematic boundary conditions
    • Nitsche's method
    • Plate bending
    • Shear locking


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