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Publisher Summary This chapter discusses a simplified computational method to determine post-buckling equilibrium branches for thin elastic plates subjected to in-plane loading, considering ideal and imperfect plate geometry. The discretization of the problem is carried out by the means of the finite-difference method. Formulation of the problem and the approximations involved are discussed, together with a range of algorithmic issues related to the application of the method. Plates with variable boundary and variable load conditions are considered as well. The obtained secondary paths correspond to analytical solutions. The load limit in the post-critical area, for which the plate is still in a stable equilibrium, depends on the boundary conditions. Finite difference method is very suitable for programming and is sufficiently accurate, as it tends to an exact solution when the node density is increased. Results from the formulation presented in the chapter could serve as a comparison with other numerical methods. |
