On critical conditions for shear band formation at high strain rates

Clifton, R. J.; Duffy, J.; Hartley, K.A.; Shawki, T.G.

doi:10.1016/0036-9748(84)90418-6

Cited by 216 publications

(97 citation statements)

References 6 publications

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“…Shear bands have been shown to be a consequence of softening by Clifton et al [31] and Wright and Walter [32]. In a rate-dependent material, the PDE does not change type and only undergoes a material instability, whereas in a rate independent material, it loses hyperbolicity.…”

Section: Shear Band Initiationmentioning

confidence: 99%

A simplified mesh‐free method for shear bands with cohesive surfaces

Rabczuk

Areias

Belytschko

2006

Numerical Meth Engineering

201

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SUMMARYA simple methodology to model shear bands as strong displacement discontinuities in a meshfree particle method is presented. The shear band is represented as a set of sheared particles. A sheared particle is developed through enrichment by tangential displacement discontinuities. The representation of the shear band as set of cohesive segments provides a simple and versatile model of shear bands. The loss of material stability is used as the criterion for switching from a classical continuum description of the constitutive behavior to a traction-separation law acting on the discontinuity surface. The method is implemented for two and three dimensions. Examples of shear band progression in rate-dependent and rate-independent materials are presented, including the Kalthoff problem, where the transition from brittle fracture to shear banding is studied. Copyright

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Section: Shear Band Initiationmentioning

confidence: 99%

A simplified mesh‐free method for shear bands with cohesive surfaces

Rabczuk

Areias

Belytschko

2006

Numerical Meth Engineering

201

View full text Add to dashboard Cite

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“…2 for two strain rates, 10~3 s" 1 and 3000 s" 1 . In this range of strain rates, the material behavior is found to be rate insensitive.…”

Section: Aluminum 2024-t3 Alloymentioning

confidence: 99%

On the Conversion of Plastic Work into Heat During High-Strain-Rate Deformation

Ravichandran¹,

Rosakis²,

Hodowany³

et al. 2002

AIP Conference Proceedings

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Abstract. Heat generation in metals during high-strain-rate plastic deformation was investigated. Experiments were designed to measure the partition of plastic work into heat and stored energy during dynamic deformations under adiabatic conditions. A Kolsky pressure bar was used to determine mechanical properties at high strain rates while a servo-hydraulic material testing system was used at low strain rates. For dynamic loading, in-situ temperature changes were measured using a high-speed infrared detector. The dependence of the fraction of plastic work converted to heat on strain and strain rate was determined for an aluminum 2024-T3 alloy and a-titanium. The flow stress and the fraction of plastic work converted to heat for 2024-T3 aluminum alloy were found to be a function of strain but not of the strain rate while they were found to be strongly dependent on strain rate for a-titanium.

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“…Since analytical solutions for initial boundary-value problems of dynamic simple shear are available only for a limited number of special deformations and constitutive relations, the linear stability analysis has been a useful tool for examining sufficient conditions and/or necessary conditions for adiabatic shear instability. Clifton (1980Clifton ( , 1984 and Bai (1981Bai ( , 1982 have proposed instability criteria derived from one-dimensional linear stability analyses for simple shear plastic flow. Burns (1985) used a two-timing asymptotic expansion, for a particular constitutive model, to include the time dependence of homogeneous solution in the stability analyses.…”

Section: Introductionmentioning

confidence: 99%