Rupture mechanisms in combined tension and shear—Micromechanics

By I. Barsoum, J. Faleskog. 2007

287 citations recorded by the source corpus.

A micromechanics model based on the theoretical framework of plastic localization into a band introduced by Rice is developed. The model consists of a planar band with a square array of equally sized cells, with a spherical void located in the centre of each cell. The periodic arrangement of the cells allows the study of a single unit cell for which fully periodic boundary conditions are applied. The micromechanics model is applied to analyze failure by ductile rupture in experiments on double notched tube specimens subjected to combined tension and torsion carried out by the present authors. The stress state is characterized in terms of the stress triaxiality and the Lode parameter. Two rupture mechanisms can be identified, void coalescence by internal necking at high triaxiality and void coalescence by internal shearing at low triaxiality. For the internal necking mechanism, failure is assumed to occur when the deformation localizes into a planar band and is closely associated with extensive void growth until impingement of voids. For the internal shearing mechanism, a simple criterion based on the attainment of a critical value of shear deformation is utilized. The two failure criteria capture the transition between the two rupture mechanisms successfully and are in good agreement with the experimental result.

Subfields: Materials Chemistry, Mechanical Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/c77f932785ef4aca856e01570af26574fbba8a50

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In Mechanics of Materials

Citations in the corpus

Micromechanical analysis on the influence of the Lode parameter on void growth and coalescence (2011, result): “However, it has been observed in recent experimental studies by Wierzbicki et al. (2005) and Barsoum and Faleskog (2007a) that the stress triaxiality is insufficient to characterize the stress state in ductile failure.”
Ductile Fracture by Void Growth to Coalescence (2010, methodology): “The fracture surface of the shear lips contains dimples that are sheared off, just like in the cup-cone fracture of smooth bars, slant fractures or fracture surfaces of specimens under predominant shear loading (Barsoum and Faleskog, 2007a).”
Ductile failure modeling (2016, background): “3D analyses for shear specimens containing spherical voids have been carried out [34] in order to model experiments on ductile fracture in double notched tube specimens loaded in combined tension and torsion [35].”
Effect of strain rate on ductile fracture initiation in advanced high strength steel sheets: Experiments and modeling (2014, background): “It is therefore expected that shear localization analysis of unit cell models (see Barsoum and Faleskog (2007) and Dunand and Mohr (2014)) with a temperature- and rate-dependent matrix material will provide an answer to the fundamental question of the respective effects of strain rate and temperatur”
Effect of Lode parameter on plastic flow localization after proportional loading at low stress triaxialities (2014, background): “Fully threedimensional models have only been employed rather recently for plane strain conditions (e.g. Scheyvaerts et al., 2011, Nielsen et al., 2012, Rahman et al., 2012) and selected three-dimensional stress states (e.g. Barsoum and Faleskog, 2007, 2011, Tekoglu et al., 2012).”
Modification of the Gurson Model for shear failure (2008, methodology): “The Lode parameter L = 2σII − σI − σIII σI − σIII = 3(σII − σm) σI − σIII (5) has also been used as a third measure of the stress state in isotropic plasticity, and more recently it has been employed by Xue (2007a, 2007b) in studying Bao and Wierzbicki’s (2004) data and by Barsoum and Faleskog (2007”
A modified damage model for advanced high strength steel sheets (2011, methodology): “With the same reason, a rather simple triaxiality-dependent fracture criterion available in the ABAQUS code was utilized instead of using recent sophisticated criteria based on stress triaxiality as well as the Lode angle parameter (Coppola et al., 2006; Barsoum and Faleskog, 2007; Bai and Wierzbick”
A Study on the Effect of the Stress State on Ductile Fracture (2010, background): “This kind of tests can be done by using the combined tension–torsion specimens developed by Barsoum and Faleskog (2007) or the so-called butterfly specimen developed by Bao and Wierzbicki (2004).”
Influence of the Lode parameter and the stress triaxiality on the failure of elasto-plastic porous materials (2012, background): “In keeping with standard practice (Barsoum and Faleskog, 2007a), the maximum stress (i.e., the locus of points where H ¼ 0) and loss of ellipticity (LOE) conditions will be displayed in terms of the total equivalent plastic strain (or effective plastic strain) epe ¼ R t…”
Ductile fracture experiments with locally proportional loading histories (2016, background): “Early works represented the results from fracture experiments in terms of either the average stress triaxiality (e.g. Bao and Wierzbicki, 2004) or the stress state at the instant of fracture initiation (Barsoum and Faleskog, 2007a).”