Analysis of Contained Plastic Flow in Plane Solids

by Alfredo H. S. Ang,
Goin N. Harper,

Serial Information: Journal of the Engineering Mechanics Division, 1964, Vol. 90, Issue 5, Pg. 397-420

Document Type: Journal Paper


Quantitative analysis of general contained plastic flow in solids is an extremely difficult and analytically unsolved problem of plasticity theory. A numerical approach, involving the use of a lumped-parameter model, for such problems in plane solids is described. With the use of the lumped-parameter model, contained plastic flow in a solid is characterized by the plastic flow of a finite number of stress points in the model. By a recursive numerical process a set of displacements that induces a compatible set of stresses satisfying the stress equations of equilibrium is determined for each applied load level. Thus, a complete history of stress and strain corresponding to a given loading history can be obtained. The proposed method of analysis is demonstrated for problems involving increasing external loads.

Subject Headings: Plastic analysis | Solids flow | Plastics | Quantitative analysis | Numerical methods | Parameters (statistics) | Stress history | Stress strain relations

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