Тест 7.4 Contact problem for a cylinder

Verification of the LIRA-FEM software / Тест 7.4 Contact problem for a cylinder / Numerical solution: P. Panagiotopoulos Inequalities in Mechanics and their Applications, Moscow: Mir, 1989, p. 387.



Тест 7.4  Contact problem for a cylinder

Numerical solution: P. Panagiotopoulos Inequalities in Mechanics and their Applications, Moscow: Mir, 1989,. 387.

Geometry::


r = 1.315 м;
h = 0.04 м.

Material characteristics: Е=6 х 104 т/м2, ν=0.3, one-way rigidity EF/l = 106 т/м.

Boundary conditions: Radial movements outward are prohibited

Loads: External pressure varies in depth z, 0<z<2r, by the linear lawу Fr = 0.58(1.18+z) т/м2.

CALCULATION RESULTS:

Point

The desired value

Numerical solution

Calculation results (LIRA)

Uncertainty,%

j, о

120

116

3,33

ur, м

0,01118

0,01114

0,36

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