Ribbon test for shells with applied moments

The problem illustrates the use of shell elements with applied moments in a plate. The results are compared with the reference solution by Batoz (1982).

This page discusses:

ProductsAbaqus/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 A⁢D are clamped. Moments of 1.0 are applied in the y-direction at nodes B and C.

Results and discussion

The vertical displacement at node C 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, L. Figure 2 plots vertical displacement at C versus the length of the plate. All elements give reasonable numerical predictions compared with the reference solution; see Batoz (1982).

References

  1. 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 1. Model of plate.

Figure 2. Comparison of results.