2.3.9 Ribbon test for shells with applied moments

Product: ABAQUS/Standard

Problem description

The original problem description and the benchmark solutions can be found in Batoz (1982).

The length of the plate is varied from 2.0 to 10.0 to study aspect ratio effects. The material is linear elastic with a Young's modulus of 1 × 10⁷ and a Poisson's ratio of 0.25. Nodes along edge are clamped. Moments of 1.0 are applied in the -direction at nodes and .

Results and discussion

The vertical displacement at node is found as a function of the plate's aspect ratio. Since the plate's width is 1.0, the aspect ratio is equal to the length, . Figure 2.3.9–2 plots vertical displacement at versus the length of the plate. All elements give reasonable numerical predictions compared with the reference solution; see Batoz (1982).

Input files

S4 elements.

S4R elements.

S4R5 elements.

S8R elements.

S8R5 elements.

S9R5 elements.

STRI3 elements.

STRI65 elements.

Reference

Batoz, J. L., “An Explicit Formulation for an Efficient Triangular Plate Bending Element,” International Journal for Numerical Methods in Engineering, vol. 18, pp. 1077–1089, 1982.

Figures

Figure 2.3.9–1 Model of plate.

Figure 2.3.9–2 Comparison of results.