Abstract
For the finite element analysis of metal forming processes, a method based on the equilibrium of nodal forces is proposed by assuming the deforming metal to be a slightly compressible rigid-plastic material. As an extension of the method, a formulation for finite deformation is derived on the basis of the equilibrium of nodal forces at the end of incremental deformation. The effects of work-hardening and shape change of element during incremental deformation are incorporated. This formulation is more accurate than that of the simple extension of infinitesimal deformation when dealing with non-steady problems, and is particularly effective for the processes in which the mode of deformation is sensitively changed by the distribution of flow stress and variation of shape. The effectiveness of the method is demonstrated by the examples of a tension test on an axi-symmetric specimen and of the plane-strain compression of blocks.
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