Localization of deformation in collapse of a thick walled cylinder

Nesterenko, V. F.; Bondar, M. P.

doi:10.1007/bf00790157

Cited by 36 publications

(12 citation statements)

References 6 publications

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“…This procedure will allow to asses the influence that selected loading and material parameters have in the formation of shear bands. By the same token, the dominant wavenumber allows to determine the characteristic distance between sites where shear localization occurs in problems where multiple shear bands are nucleated (Nesterenko et al, 1989;Nesterenko and Bondar, 1994;Lovinger et al, 2011). Nevertheless, in this paper we will not consider formation of multiple shear bands and the reader is referred to the seminal paper by Molinari (1997) where an extensive analysis on the collective behaviour and spacing of shear bands is developed.…”

Section: Salient Features Of the Stability Analysismentioning

confidence: 99%

Dynamic recrystallization and adiabatic shear localization

Rodríguez-Martínez

Vadillo

Rittel

et al. 2015

Mechanics of Materials

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It has recently been reported that, in alloys exhibiting early dynamic recrystallization (DRX), the onset of adiabatic shear bands (ASB) is primarily related to microstructural transformations, instead of the commonly assumed thermal softening mechanism as shown by Rittel et al. (2006Rittel et al. ( , 2008 and Osovski et al. (2012b). Further, the dominant role of microstructural softening in the necking process of dynamically stretching rods showing DRX has been verified using linear stability analysis and finite element simulations by Rodríguez-Martínez et al. (2014). With the aim of extending this coupled methodology to shear conditions, this paper presents an analytical solution to the related problem of ASB in a material that undergoes both twinning and dynamic recrystallization. A special prescription of the initial and loading conditions precludes wave propagation in the specimen which retains nevertheless its inertia, allowing for a clear separation of material versus structural effects on the localization process. A parametric study, performed on the constants of the constitutive model, permits the identification of their relative role in the onset of the dynamic instability. The main outcome of the analysis confirms the strong destabilizing effect played by the development of DRX, consistently with the former statement regarding ASB, and contributes to rationalize the observations of other authors.

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Section: Salient Features Of the Stability Analysismentioning

confidence: 99%

Dynamic recrystallization and adiabatic shear localization

Rodríguez-Martínez

Vadillo

Rittel

et al. 2015

Mechanics of Materials

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“…4 rock powdery AN-TNT-FO explosive, with density 0 (1000 kg/m 3 ) and detonation velocity V d (3600 m/s), and explosive thickness H (20 mm). The TWC method was first applied to shear bands by Nesterenko and Bondar [21,22]. The specimen is sandwiched between two copper tubes (Fig.…”

Section: Methodsmentioning

confidence: 99%

Effects of pre-notches on the self-organization behaviors of shear bands in aluminum alloy

Yang

Chen

et al. 2010

Materials Science and Engineering: A

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“…The collapsing thick-walled cylinder technique was shown to produce controlled and repeatable helical shear band patterns, which allowed to investigate -for the first time-the collective behavior and spacing of shear bands at strain rates of ≈ 10 4 s −1 . Experiments performed with Copper, AISI 304L, pure Titanium, Ti6Al4V and Tantalum specimens provided indications of the actual sensitivity of these materials to shear banding, and revealed that the critical strain leading to shear bands formation and the average separation between shear bands varies from material to material (Bondar and Nesterenko, 1991;Nesterenko and Bondar, 1994;Nesterenko et al, 1995Nesterenko et al, , 1997Nesterenko et al, , 1998Xue et al, 2002Xue et al, , 2004. Similar conclusions were obtained from the recent experiments performed by Yang et al (2011), Yang andJiang (2016) and Yang et al (2017) with different tempers of Ti-1300 titanium alloy and ZK60 magnesium alloy, which showed that the distribution, width, and spacing of the adiabatic shear bands varies with the heat treatment applied to the specimen before testing.…”

Section: Introductionmentioning

confidence: 99%

New insights into the role of porous microstructure on adiabatic shear localization

Vishnu¹,

Marvi-Mashhadi²,

Nieto-Fuentes³

et al. 2021

Preprint

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This paper provides new insights into the role of porous microstructure on adiabatic shear localization. For that purpose, we have performed 3D finite element calculations of electro-magnetically collapsing thick-walled cylinders. The geometry and dimensions of the cylindrical specimens are taken from the experiments of Lovinger et al. (2015), and the loading and boundary conditions from the 2D simulations performed by Lovinger et al. (2018). The mechanical behavior of the material is modeled as elastic-plastic, with yielding described by the von Mises criterion, an associated flow rule and isotropic hardening/softening, being the flow stress dependent on strain, strain rate and temperature. Moreover, plastic deformation is considered to be the only source of heat, and the analysis accounts for the thermal conductivity of the material. The distinctive feature of this work is that we have followed the methodology developed by Marvi-Mashhadi et al. (2021) to incorporate into the finite element calculations the actual porous microstructure of 4 different additively manufactured materials --aluminium alloy AlSi10Mg, stainless steel 316L, titanium alloy Ti6Al4V and Inconel 718-- for which the initial void volume fraction varies between 0.001% and 2%, and the pores size ranges from ≈ 6 µm to ≈ 110 µm. The numerical simulations have been performed using the Coupled Eulerian-Lagrangian approach available in ABAQUS/Explicit (2016) which allows to capture the shape evolution, coalescence and collapse of the voids at large strains. To the authors' knowledge, this paper contains the first finite element simulations with explicit representation of the material porosity which demonstrate that voids promote dynamic shear localization, acting as preferential sites for the nucleation of the shear bands, speeding up their development, and tailoring their direction of propagation. In addition, the numerical calculations bring out that for a given void volume fraction more shear bands are nucleated as the number of voids increases, while the shear bands are incepted earlier and develop faster as the size of the pores increases.

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Localization of deformation in collapse of a thick walled cylinder

Cited by 36 publications

References 6 publications

Dynamic recrystallization and adiabatic shear localization

Dynamic recrystallization and adiabatic shear localization

Effects of pre-notches on the self-organization behaviors of shear bands in aluminum alloy

New insights into the role of porous microstructure on adiabatic shear localization

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