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Forming limit diagrams: a micromechanical approach

Abstract : A method for obtaining the forming limit diagram (FLD) from a micromechanical approach is proposed. Periodic representative volume elements (RVEs) characteristic for the microstructure of a two-phase material containing particles are subjected to biaxial stretching with different strain paths. In the course of straining, a groove forms and grows, finally leading to a stress drop in the overall response. This deformation instability is obtained as a natural result of the strain field fluctuations caused by the inclusions in the two-phase material. For this approach, only the geometry of the microstructure and the material data of the constituents have to be known no additional assumptions about the deformation process or about a macroscopic inhomogeneity are necessary. The influence of the RVE representation on the possible deformation patterns is investigated.
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Submitted on : Wednesday, November 17, 2010 - 4:11:53 PM
Last modification on : Wednesday, November 17, 2021 - 12:28:14 PM

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Hans Peter Gänser, Ewald A. Werner, Franz Dieter Fischer. Forming limit diagrams: a micromechanical approach. International Journal of Mechanical Sciences, Elsevier, 2000, 42 (10), p.2041-2054. ⟨10.1016/S0020-7403(99)00057-0⟩. ⟨hal-00537106⟩



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