An analysis of deformation and failure in rectangular tensile bars accounting for void shape changes

Autor: I. A. Khan, Ankit Srivastava, Alan Needleman, A. Amine Benzerga
Rok vydání: 2021
Předmět:
Zdroj: International Journal of Fracture. 230:133-156
ISSN: 1573-2673
0376-9429
DOI: 10.1007/s10704-021-00532-z
Popis: A three-dimensional finite deformation study of necking and failure in rectangular tensile bars is carried out using a constitutive relation for porous material plasticity. The fully dynamic formulation accounts for void nucleation and growth along with thermal and rate effects, but here focus is on quasi-static response with a specified initial void volume fraction. The constitutive relation takes into account void shape changes and associated void rotations for three-dimensional voids. The constitutive update is carried out using a generalized rate tangent scheme for an elastic-viscoplastic solid. The sensitivity of necking and failure patterns to the aspect ratio of the rectangular bar is investigated with focus on the plane strain limit and a square tensile bar. The calculations predict the well-known slant fracture in plane strain tension and the emergence of a cup-cone like failure region for a square cross-section. Details are provided for the development of porosity in the bar with a square cross-section, including void shape changes and void rotations. The numerical examples show the capability of a constitutive relation for porous plasticity that can model details of void evolution, thus paving the way for advanced analyses of ductile failure under arbitrary loadings.
Databáze: OpenAIRE
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