2.3.8 Twisted ribbon test for shells

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. The plate is twisted by applying a force of –1.0 at node , and an equal and opposite force at node . Gauss integration is used for the shell cross-section for the S9R5 element.

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 2.3.8–2 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 2.3.8–1 Model of plate.

Figure 2.3.8–2 Comparison of results.