Selection of the Optimal Distribution for the Upper Bound Theorem in Indentation Processes

Author:

Bermudo Carolina1,Martín F.1,Sevilla Lorenzo1ORCID

Affiliation:

1. University of Malaga

Abstract

It has been established, in previous studies, the best adaptation and solution for the implementation of the modular model, being the current choice based on the minimization of the p/2k dimensionless relation obtained for each one of the model, analyzed under the same boundary conditions and efforts. Among the different cases covered, this paper shows the study for the optimal choice of the geometric distribution of zones. The Upper Bound Theorem (UBT) by its Triangular Rigid Zones (TRZ) consideration, under modular distribution, is applied to indentation processes. To extend the application of the model, cases of different thicknesses are considered

Publisher

Trans Tech Publications, Ltd.

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics,General Materials Science

Reference13 articles.

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2. H. Kudo, An upper-bound approach to plane-strain forging and extrusion-i, Int. J. Mech. Sci. 1, (1960), 57-83.

3. S. Kobayashi, A.G. MacDonald and E.G. Thomsen, Some aspects of press forging, Int. J. Mech. Sci. 1, (1960), 282-300.

4. R. Hill, The mathematical theory of plasticity. Oxford University Press Inc, New York, U.S.A., (1998).

5. F.J. Olivares, A.M. Camacho and M.A. Sebastian, Analysis of technological factors in open die forging by comparison of different analysis methods, 4th MESIC Proc., (2011).

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