Abstract

Polycrystalline rate-dependent plasticity is found to originate from heterogeneous slip system/phase rate response. Micro-mechanism under low stress and low temperature (T< 0.3Tm) has been shown to be different from conventional rate sensitivity expectations. Hence the constitutive framework developed is dependent on the crystallographic orientation, properly capturing micro-scale anisotropic rate behaviour.The intrinsic rate anisotropy of the HCP α prism and basal and BCC β phase slip systems in Ti-6242, recently determined from micro-pillar and crystal plasticity modelling, have been utilised to investigate the structural strain rate sensitivities of colonies, polycrystals, bimodal and basket weave microstructures.The rate sensitivity of colony structures is dominated by the HCP α phase behaviour, at least for alloys containing up to ∼20% volume fraction β phase, and is largely independent of β-lath orientation. The apparent anisotropy of a1, a2 and a3 basal resolved shear stresses in Ti-6242 colonies is shown to originate from the local crystal stress states established as opposed to the α−β interfaces.Texture and α−β morphology are shown to affect rate dependence and to corroborate that the basal rate sensitivity is stronger than that for prism slip in Ti-6242. Morphological effects are shown to affect rate dependence but not strongly, but the number of HCP α phase variants in basketweave structures is found to have a significant effect with higher numbers of variants leading to lower strain rate sensitivities. This is potentially important in designing alloys to resist cold dwell fatigue.

Highlights

  • The rate-dependent behaviour of a range of hexagonal close packed (HCP) metals at low homologous temperature (T < 0.3Tm) leads to significant creep, stress relaxation and the redistribution of stress, often over short time periods

  • The ratio between local effective stress and the resolved shear stress on the specific slip plane, and demonstrates the rate sensitivity for low stress is fundamentally different from that for high stresses. This is important in the context of cold dwell fatigue, since this occurs at low temperature and under low stresses

  • We introduce the term ‘structural strain rate sensitivity’ to describe the response characterised by the exponent m in σ = kεm and provide its relationship to intrinsic activation energy and volume for thermally activated dislocation-controlled slip, and crystallographic orientation

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Summary

Introduction

The rate-dependent behaviour of a range of hexagonal close packed (HCP) metals at low homologous temperature (T < 0.3Tm) leads to significant creep, stress relaxation and the redistribution of stress, often over short time periods. Microstructural morphology in multiphase alloys leads to strong heterogeneous stress and plastic strain fields and local mechanical behaviour, including grain-level stress redistribution from rate-dependent deformation (Evans, 1998). This paper builds from knowledge of the intrinsic Ti α and β phase anisotropic slip system rate sensitivities in order to address single crystal and α-β colony behaviour It addresses the response of the differing microstructure-level morphological units (colony to basket-weave) and their role in determining strain rate sensitivity, which is pivotal in local stress redistribution (load shedding) from soft to hard units in dwell fatigue. The importance of stress relaxation, or load shedding, in the context of cold dwell fatigue is discussed

Dependence of α crystal strain rate sensitivity on orientation
Morphology and rate effects in α-β titanium alloys
Constraint effects on local colony stress states
Summary and conclusions
Findings
E dσ dt
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