A path-dependent constitutive model for gilding copper

Gould, P.; Goldthorpe, B.D.

doi:10.1051/jp4:2000907

Cited by 14 publications

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“…This may have been due to a lack of failure modes in the model used. A more advanced path-dependent model has been developed to address such issues (Gould & Goldthorpe 2000). The rods were found to deform symmetrically within the experimental error.…”

Section: Discussionmentioning

confidence: 99%

“…Fracture was not observed. The existence of bulges or shoulders that are distinct from the deformation close to the impact interface is thought to be a sign of strain hardening (Gould & Goldthorpe 2000).…”

Section: K1mentioning

confidence: 99%

“…A modified path-dependent Armstrong-Zerilli constitutive model was used (Gould & Goldthorpe 2000;Walley et al 2000). The following description of the model was first published in Church et al (1999).…”

Section: (D ) Modelling Of Taylor Impactmentioning

confidence: 99%

“…The method is used as a benchmark test to check and modify the material models used within numerical simulations. The research reported in this paper was part of a validation study of the Armstrong-Zerilli model for copper, as modified by Gould & Goldthorpe (2000).…”

Section: Introductionmentioning

confidence: 99%

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Symmetrical Taylor impact studies of copper

2008

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An integrated investigation of rod-on-rod (symmetric Taylor) impact of annealed copper was conducted using the single-stage gas-gun facility at the Cavendish Laboratory as a validation study of the Armstrong-Zerilli constitutive model, as modified by Goldthorpe. Two main techniques were used for obtaining data from the experiments: high-speed photography (up to 20 million frames s K1 framing rate) and a velocity interferometer system for any reflector (VISAR). The symmetric configuration was used to minimize friction effects and eliminate target indentation seen in classic Taylor tests, where a rod is fired against a massive target block. However, the need for coaxial alignment of the two rods made the experiments considerably more challenging to perform than the classic case. The propagation of plasticity along the rods was monitored using high-speed photography and VISAR. It was found to propagate with a logarithmically decelerating velocity. The rod profiles and VISAR traces can be understood in terms of material properties such as strain hardening. No asymmetry between the responses of the two rods involved (moving and stationary) was observed within the resolution of the techniques employed. A modified Armstrong-Zerilli material model for copper predicted intermediate profiles well, but slightly overestimated the material strength.

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Section: Discussionmentioning

confidence: 99%

Section: K1mentioning

confidence: 99%

Section: (D ) Modelling Of Taylor Impactmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Symmetrical Taylor impact studies of copper

2008

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“…The applicability of these models to transient deformation states however, has been largely ignored. To address path-dependent effects, a few models have recently been developed, such as the modified ArmstrongZerilli model by Goldthorpe et al 12 and Gould and Goldthorpe 13 and the empirical model of Frechard et al 14 Validation of these path-linked models through comparison with transient profiles has shown improvements over the traditional models. 14,15 However, the use of approaches that provide complementary measures of transient deformation states and require adherence to transient phenomenon has yet to be adopted as a general rule for model validation.…”

Section: Introductionmentioning

confidence: 99%

Instrumented Taylor anvil-on-rod impact tests for validating applicability of standard strength models to transient deformation states

Eakins

Thadhani

2006

Journal of Applied Physics

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Instrumented Taylor anvil-on-rod impact tests have been conducted on oxygen-free electronic copper to validate the accuracy of current strength models for predicting transient states during dynamic deformation events. The experiments coupled the use of high-speed digital photography to record the transient deformation states and laser interferometry to monitor the sample back ͑free surface͒ velocity as a measure of the elastic/plastic wave propagation through the sample length. Numerical continuum dynamics simulations of the impact and plastic wave propagation employing the Johnson-Cook ͓Proceedings of the Seventh International Symposium on Ballistics, 1983, The Netherlands ͑Am. Def. Prep. Assoc. ͑ADPA͒͒, pp. 541-547͔, Zerilli-Armstrong ͓J. Appl. Phys. C1, 1816 ͑1987͔͒, and Steinberg-Guinan ͓J. Appl. Phys. 51, 1498 ͑1980͔͒ constitutive equations were used to generate transient deformation profiles and the free surface velocity traces. While these simulations showed good correlation with the measured free surface velocity traces and the final deformed sample shape, varying degrees of deviations were observed between the photographed and calculated specimen profiles at intermediate deformation states. The results illustrate the usefulness of the instrumented Taylor anvil-on-rod impact technique for validating constitutive equations that can describe the path-dependent deformation response and can therefore predict the transient and final deformation states.

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High Strain Rate Metal Plasticity

Lea¹,

Walley²

2020

Encyclopedia of Continuum Mechanics

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A path-dependent constitutive model for gilding copper

Cited by 14 publications

References 0 publications

Symmetrical Taylor impact studies of copper

Symmetrical Taylor impact studies of copper

Instrumented Taylor anvil-on-rod impact tests for validating applicability of standard strength models to transient deformation states

High Strain Rate Metal Plasticity

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