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RESEARCH PAPERS

The Mechanics of Ideal Forming

[+] Author and Article Information
K. Chung, O. Richmond

Alcoa Laboratories, Alcoa Technical Center, Alcoa Center, PA 15069

J. Appl. Mech 61(1), 176-181 (Mar 01, 1994) (6 pages) doi:10.1115/1.2901394 History: Received December 26, 1991; Revised March 15, 1993; Online March 31, 2008

Abstract

In this paper, the mechanics of ideal forming theory are summarized for general, three-dimensional, nonsteady processes. This theory has been developed for the initial stages of designing deformation processes. The objectives is to directly determine configurations, both initial and intermediate, that are required to ideally form a specified final shape. In the proposed theory, material elements are prescribed to deform along minimum plastic work paths, assuming that the materials have optimum formabilities in such paths. Then, the ideal forming processes are obtained so as to have the most uniform strain distributions in final products without shear tractions. As solutions, the theory provides the evolution of intermediate shapes of products and external forces as well as optimum strain distributions. Since the requirement of ideal forming to follow minimum work paths involves an over determination of the field equations, the theory places constraints on constitutive and boundary conditions. For example, tool interfaces must be frictionless and yield conditions must have vertices to achieve self-equilibrating three-dimensional deformations in most cases. Despite these constraints, the theory is believed to provide a useful starting point for deformation process design.

Copyright © 1994 by The American Society of Mechanical Engineers
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