2.2.4 Spherical cavity in an infinite medium

Product: ABAQUS/Standard  

This example was analyzed by Marques and Owen (1983) and concerns the problem of an internally pressurized spherical cavity in an infinite medium. The analyses serve two main purposes: to compare results obtained using infinite elements to results obtained with finite elements only, assuming fixed or free boundary conditions at the truncated end of the mesh, and to investigate the performance of meshes with different degrees of refinement compared to the analytical solution provided by Hill (1950).

Problem description

Results and discussion

Input files

References

Figures

Figure 2.2.4–1 Typical element layer.

Figure 2.2.4–2 Radial displacement results—meshes F4FX, F4FR, and I2.

Figure 2.2.4–3 Radial displacement results—meshes F8FX, F8FR, and I4.

Figure 2.2.4–4 Tangential stress distribution—meshes F4FX, F4FR, and I2.

Figure 2.2.4–5 Tangential stress distribution—meshes F8FX, F8FR, and I4.

Figure 2.2.4–6 Radial stress distribution—meshes F4FX, F4FR, and I2.

Figure 2.2.4–7 Radial stress distribution—meshes F8FX, F8FR, and I4.