In the present contribution, an innovative stabilization technique for two-dimensional low-order ΓΏnite elements is presented. The new approach results in an element formulation that is much simpler than the recently proposed enhanced strain element formulation, yet which gives results of at least th
A finite difference perturbation procedure for non-linear elastic stability problems
β Scribed by M. S. El Naschie; I. Galaly; S. Athel
- Publisher
- John Wiley and Sons
- Year
- 1978
- Tongue
- English
- Weight
- 266 KB
- Volume
- 12
- Category
- Article
- ISSN
- 0029-5981
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β¦ Synopsis
A finite difference perturbation scheme is developed which allows a simple solution to a wide class of non-linear bifurcation problems. The analysis shows that in order to determine the initial post buckling behaviour accurately, it is not necessary to solve more than the linear eigenvalue difference equation with similar accuracy.
π SIMILAR VOLUMES
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In a previous paper a modified Hu-Washizu variational formulation has been used to derive an accurate four node plane strain/stress finite element denoted QE2. For the mixed element QE2 two enhanced strain terms are used and the assumed stresses satisfy the equilibrium equations a priori for the lin