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A Cyclic Crystal Viscoplastic Model Considering Both Dislocation Slip and Twinning

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Advanced Materials Modelling for Structures

Part of the book series: Advanced Structured Materials ((STRUCTMAT,volume 19))

Abstract

Based on the framework of crystal visco-plasticity, a new single crystal cyclic constitutive model is first constructed to describe the cyclic plastic deformation of single crystal metal by considering both the dislocation slip and twinning. The new orientation of the slip system in the twinned region can be obtained only by a rotation of the original one, and then, a rotation tensor is introduced in the proposed model. Also, a nonlinear kinematic hardening rule is employed to describe the evolution of resolved shear back stress in each active slip system and twinning system. Then, an explicit scale-transition rule is adopted to extend the proposed single crystal model to the polycrystalline version. Finally, the capability of the proposed model to describe the uniaxial ratchetting is verified by comparing the simulations with the corresponding experiments of polycrystalline Ti-6Al-4V alloy, a dual-phase material consisting of a primary hexagonal close packed (HCP) phase \(\alpha \) and secondary body-centered cubic (BCC) phase \(\beta \).

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Acknowledgments

The work was financially supported by the National Natural Science Foundation of China (11025210), and GZ Kang appreciates the AvH Foundation for supporting his visit in Germany from October 2009 to October 2010 at the Ruhr-University Bochum and from March 2012 to September 2012 at the University of Siegen.

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Correspondence to Guozheng Kang .

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Yu, C., Kang, G., Kan, Q., Bruhns, O.T., Zhang, C. (2013). A Cyclic Crystal Viscoplastic Model Considering Both Dislocation Slip and Twinning. In: Altenbach, H., Kruch, S. (eds) Advanced Materials Modelling for Structures. Advanced Structured Materials, vol 19. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-35167-9_32

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