Cantilever sandwich beam: shear flexible shells

This problem contains basic test cases for one or more Abaqus elements and features.

This page discusses:

ProductsAbaqus/Standard

Elements tested

S4

S4R

S8R

S4T

S4RT

S8RT

Problem description



Material:

For the face a linear elastic material with Young's modulus = 1.0 × 107 and Poisson's ratio = 0 is modeled. For the core the transverse shear moduli are given as 1.0 × 104 and all other properties in the plane are set to negligible values, using the LAMINA definition.

Boundary conditions:

All nodes are clamped at one end.

Loading:

Fz=​ 750.0 distributed consistently to the nodes at the free end.

General:

Gauss integration is used for the shell cross-section for the S4, S4R, and S8R elements.

Simpson integration is used for the shell cross-section for the S4T, S4T, S4RT, and S8RT elements.

Reference solution

Displacement at the free end (Plantema, Sandwich Construction, John Wiley and Sons, Inc., 1966): uz= 5.5684.

Maximum bending stress at the top of the clamped end, for the case of warping prevention as enforced here: σ11 = 3.7275 × 105.

Results and discussion

Element Typeuzσ11
S4 5.55 3.5136 × 105
S4R 5.55 3.5136 × 105
S8R 5.56 3.6439 × 105
S4T 5.55 3.537 × 105
S4RT 5.55 3.537 × 105
S8RT 5.56 3.6439 × 105