TEST CASE 3.1 STABILITY OF SHELL
Reference:
L.D. Landau, E.M. Lifshitz. Course of Theoretical Physics. In 10 Volumes. Volume VII. Theory of Elasticity. – 4th ed., revised and expanded. – M.: «Nauka», 1987, p. 123.
Problem description:
The cantilever shell is loaded with a uniformly distributed load f along the free end. Determine the safety factor coefficient.
Problem sketch:
Type of created problem:
Spatial structure (X, Y, Z, UX, UY, UZ).
Geometric characteristics:
L = 10 m; b = 0.5 m; h = 0.1 m.
Material properties:
Elastic modulus: E = 2·10^{7} tf/m^{2};
Poisson’s ratio: μ = 0.3.
Boundary conditions:
The left edge of the shell: X = Y = Z = UX = UY = UZ = 0.
Loads:
f = 20 tf/m.
Model description:
The system is modeled using 500 finite elements of thin shell (FE type is 44). The number of nodes in the calculation scheme is 606.
Calculation results:
Target value |
Analytical solution |
LIRA 10 |
Deviation, % |
Safety factor |
4.1479^{} |
4.1638 |
0.38 |
Buckling mode