科研之友
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摘要
The bifurcation of an incompressible neo-Hookean thick block with a ratio of thickness to length eta, subject to pure bending, is considered. The two incremental equilibrium equations corresponding to a nonlinear pre-buckling state of strain are reduced to a fourth-order linear eigenproblem that displays a multiple turning point. It is found that for 0 < eta < infinity, the block experiences an Euler-type buckling instability which in the limit eta -> infinity degenerates into a surface instability. Singular perturbation methods enable us to capture this transition, while direct numerical simulations corroborate the analytical results.
- 出版日期2008-8
