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Abstract

A linear elastic analysis for central loading of a circular plate, simply supported (unclamped) on a ring, is developed from established plate theory. The analysis includes equations for the force-deflection relationship until failure is initiated, and also the stresses due to bending within the loaded plate. Equations for the maximum stress in the central region where fracture initiates are given as a possible basis for failure criteria.

The analytical method is applied to a poly (methyl methacrylate) plate and compared with experimental data obtained from an instrumented falling weight impact test on the same material. Close agreement of theory with experiment is obtained until fracture initiates by radical cracking from the centre. A criterion of failure for the brittle material tested is proposed for the impact test, using strengths determined from a standard tensile test.

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Elastic analysis of the flexed plate impact test

Abstract

Abstract

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References