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ABSTRACT
This article presents the elementary energetic methods for obtaining approximate solutions of the metal plasticity equations: the approximate energy balance based on the uniform deformation assumption and the methods by building velocity fields: the upper bound method and its various extensions. One applies them to the analysis of metal forming operations and mechanical tests. Generally the metal is assumed rigid perfectly plastic (RPP) and it verifies the von Mises yield criterion. The tools are rigid and impose a Tresca's friction law.
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Eric FELDER: Ingénieur civil des Mines de Paris – Docteur es Sciences - Senior Researcher, École des Mines de Paris, Surfaces and Tribology Group, Centre de mise en forme des matériaux (CEMEF)
INTRODUCTION
This article presents elementary methods for approximate resolution of the plasticity equations for metals. They are applied to the analysis of forming processes and mechanical tests. The metal is, in general, a rigid perfectly plastic solid (RPP) and satisfies the von Mises plasticity criterion. Tools are rigid, and metal/tool interfaces are subject to Tresca friction.
It is divided into 2 parts:
this one devoted to "energy methods" [M 3 007] ;
its "stress calculation methods" suite .
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