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Elastic-Plastic Deformation Of A Single Grooved Flat Plate Under Longitudinal Shear

Report Number: ASD TR 61-63
Author(s): Koskinen, Michael F.
Corporate Author: Massachusetts Inst of Tech Cambridge
Laboratory: Directorate of Materials and Processes
Date of Publication: 1961-12
Pages: 15
Contract: AF 18(600)-957
Project: 7351 - Metallic Materials
Task: 73521
AD Number: AD0273832

Abstract:
The development of the plastic strain in a V-grooved flat plate under longitudinal shear was followed from the elastic through the partially plastic to the fully plastic condition for a non-strainhardening material. The region of plastic flow develops monotonically. Adjacent to the zone of deformation in the fully plastic case there is a region where limited plastic deformation has occurred. The results for the growth of the plastic zone were compared with predictions based on the elastic-plastic solution for an infinite plate and the elastic solution for a finite plate. Agreement is good at low stress levels. At high stress levels, a relatively simple empirical equation, satisfying over-all equilibrium, is proposed. Predictions based on elasticity theory alone are shown to be seriously in error.

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