Non-Linear Theory for the Deformation of Pre-Stressed Circular Plates and Rings (Classic Reprint) - Tapa dura

Sinopsis

Excerpt from Non-Linear Theory for the Deformation of Pre-Stressed Circular Plates and Rings

It has been conjectured by Professor j.j. Stoker that solutions to non-linear elasticity problems are generally smoother in some sense than solutions to the corresponding linear problems. More specifically, If the solution to the linear problem has a singularity, the conjecture is that the solution to the non-linear problem will in many cases not have a singularity. Professor Stoker suggested that pre-stressed circular plates and rings would be examples of this phenom enon. It was this suggestion which led to the investigation presented here.

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