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A formulation of the asymptotically exact first-order shear deformationtheory for linear-elastic homogeneous plates in the rescaled coordinates andangles of rotation is considered. This allows the development of itsasymptotically accurate and shear-locking-free finite element implementation.As applications, numerical simulations are performed for circular andrectangular plates, showing complete agreement between the analytical solutionand the numerical solutions based on two-dimensional theory andthree-dimensional elasticity theory.

Asymptotically accurate and locking-free finite element implementation of first order shear deformation theory for plates