On the geometrically similar expansion of a hole in a thin infinite plate

Author:

Abstract

The problem is considered of expanding a central cylindrical hole from zero radius in a thin infinite plate of conical profile such that, initially, thickness is proportional to radius, chosen so that geometrical similarity is maintained. A previously incorrect theory is modified by using a matrix formulation of the equations suitable for iterative solution on the digital computer, and the predicted profile of the plate is compared with that found from an experiment performed on a finite mild steel plate of conical profile. The Prandtl-Reuss relations for the large deformation elastic-plastic flow of a work-hardening material obeying the Maxwell (von Mises) yield criterion are used. Apart from the intrinsic interest of obtaining a complete solution to a problem of this type, the solution will be used to provide a valid model against which to test solutions obtained by finite element methods for large deformation elastic-plastic analysis.

Publisher

The Royal Society

Subject

Pharmacology (medical)

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

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