Abstract
In this paper, we present the dynamic response of commercially pure copper subjected to combined tension-torsion loads representative of real case impact scenarios. Experiments were conducted both quasi statically, at a strain rate equal to 10−3 s−1, and dynamically at strain rates in the region between 500 s−1 and 1000 s−1. All high rate experiments were conducted using a novel Split Hopkinson Tension-Torsion Bar instrumented with high-speed photographic equipment. The dynamic combined loading experiments demonstrate the capability of the apparatus to generate longitudinal and torsional stress waves which are synchronised upon loading of the specimen. The presented data show that dynamic equilibrium conditions and nearly steady strain rates were achieved during the experiments. Additionally, the analyses of the loading paths show that nearly proportional strain loading was attained during testing. The measured experimental results illustrate, for the first time, the failure stress locus of the material over a wide range of stress states including pure torsion, shear-dominated combined tension-shear, tension-dominated combined tension-shear and plain tension. The quasi-static and dynamic failure envelopes are herein presented in the normal stress vs shear stress space to motivate the development of accurate and effective constitutive models. To conclude, the Drucker-Prager criterion was employed to approximate the failure loci and to assess the rate sensitivity of the material. A moderate asymmetry of the uniaxial ultimate stresses in tension and compression is predicted both at quasi-static and dynamic strain rates.
Original language | English |
---|---|
Article number | 107340 |
Number of pages | 15 |
Journal | International Journal of Mechanical Sciences |
Volume | 224 |
Early online date | 10 May 2022 |
DOIs | |
Publication status | Published - 15 Jun 2022 |
Bibliographical note
Publisher Copyright:© 2022 The Author(s)
Funding
The authors would like to thank Rolls-Royce plc and the EPSRC for the support under the Prosperity Partnership Grant\Cornerstone: Mechanical Engineering Science to Enable Aero Propulsion Futures, Grant Ref: EP/R004951/1. Additionally the authors are grateful to S. Carter, J. Fullerton, D. Robinson and P. Tantrum for their assistance in the manufacturing of the apparatus and to Dr. David Townsend for the enlightening discussions during the experimentation.
Funders | Funder number |
---|---|
Engineering and Physical Sciences Research Council | EP/R004951/1 |
Rolls Royce |
Keywords
- Commercially pure copper
- Failure stress envelope
- Multiaxial failure
- Rate dependence
- Split Hopkinson tension-torsion bar
ASJC Scopus subject areas
- Civil and Structural Engineering
- General Materials Science
- Condensed Matter Physics
- Mechanics of Materials
- Mechanical Engineering