
A formulation of the asymptotically exact first-order shear deformation theory for linear-elastic homogeneous plates in the rescaled coordinates and rotation angles is considered. This allows the development of its asymptotically accurate and shear-locking-free finite element implementation. As applications, numerical simulations are performed for circular and rectangular plates, showing complete agreement between the analytical solution and the numerical solutions based on two-dimensional theory and three-dimensional elasticity theory.
32 pages, 11 figures
FOS: Mathematics, Classical Physics (physics.class-ph), FOS: Physical sciences, Mathematics - Numerical Analysis, Physics - Classical Physics, Numerical Analysis (math.NA)
FOS: Mathematics, Classical Physics (physics.class-ph), FOS: Physical sciences, Mathematics - Numerical Analysis, Physics - Classical Physics, Numerical Analysis (math.NA)
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