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- W2031101821 abstract "The theoretical analysis and the numerical computations for the problem of a thin plate with large deflection and some holes become much more difficult due to the multi-valued properties of the stress functionF and the single-valued demands on the displacements. The necessary and sufficient conditions which can assureF to be single-valued are obtained in this paper. At the same time, we prove that the single-valued demands on the displacements are equivalent to 3m functional constraint equationsDC(w,F)=0, wherem is the number of holes. From these conclusions, the single-valued governing-equations of the problem of plates with large deflection and some holes are derived. It is a system of fourth order partial differential equations with 3m unknown constants and constrained equations. A numerical method for solving this problem is presented. The problem of the critical load is considered and an iterative scheme for computing the buckled states is given when a critical load λ is ‘single’." @default.
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- W2031101821 date "1987-08-01" @default.
- W2031101821 modified "2023-09-24" @default.
- W2031101821 title "General mathematical theory of large deflections of the thin plates with some holes" @default.
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- W2031101821 doi "https://doi.org/10.1007/bf02486777" @default.
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