In this test a cylinder, depicted above, is analysed for an axisymmetrical state, with an internal pressure of 1 MPa, which is equivalent to a line load of 1000 kN/m for a thickness of 1.0 m. Additionally a single load of 125 kN/0.01 m, which is distributed over the cylinder thickness, is applied. For the cylinder an isotropic material with an E-modulus of 210*10³ MPa and a poisson's ratio of 0.3 are used. For case 1 the system is generated with an element mesh of 12x1 quadrilateral elements, whereby the element width is equivalent to the shell thickness of 0.01 m, and two additional quad-elements on the outer side of the cylinder, for the thicker cross section, are generated. In the subsequent case 2 the number of elements are doubled for the shell axis, therefore 24x1 elements are used, with four additional quad-elements on the outer side of the cylinder (for the thicker cross section). The calculation was made with the program TALPA, because only this program can analyse an axisymmetrical state.

More precise description: NAFEMS: Linear Statics Benchmarks, Vol. 1

Results: Stress Stt at the inner side of point C. Theoretical value 49.11 MPa analytically. Deviation of program TALPA from the analytic result: in loadcase 1 (12x1 elements) 7%, loadcase (24x1) 2 9%.

Further results in the DAT-file.

• ic37_e.dat