Three-node assumed strain Mindlin plate finite elements. (English) Zbl 1543.74094
Two new three-node finite elements T3-LSC and T3-LSI for Mindlin plate theory are presented. These finite elements are based on the two-node Timoshenko beam element with cubic interpolation. The presented elements are developed by generalizing the constant shear strain expression of the Timoshenko beam element along each of the element side. For the T3-LSC element, the rotational fields are such that the whole formulation is kinematically consistent at every point inside the element region, whereas for the T3-LSI element, the rotational fields are interpolated independently. Results from the numerical examples support the convergence of methods connected with these finite elements. The results also show that both elements are completely free of shear locking, which makes them suitable for the analysis of very thin to thick plate cases. The presented finite elements are simple in formulation, computationally efficient, robust and effective, thereby suitable for practical application.
Reviewer: V. L. Leontiev (Sankt-Peterburg)
Keywords:
thin Mindlin plate; thick Mindlin plate; two-node Timoshenko beam element; cubic interpolation; shear locking-free element; rotational field; convergenceReferences:
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