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A crack opening stress equation for in-phase and out-of-phase thermomechanical fatigue loading
Affiliation:1. Fraunhofer Institute for Mechanics of Materials IWM, Wöhlerstrasse 11, 79108 Freiburg, Germany;2. Offenburg University of Applied Science, Badstrasse 24, 77652 Offenburg, Germany;1. University of Applied Sciences Offenburg, Badstraße 24, 77652 Offenburg, Germany;2. Fraunhofer Institute for Mechanics of Materials IWM, Wöhlerstraße 11, 79108 Freiburg, Germany;1. FIAT Research Centre, Strada Torino 50, Orbassano 10043, Italy;2. FIAT Research Centre, Strada Torino 50, Orbassano 10043, Italy;1. Institute of Structural Materials, Bay Campus, Swansea University, SA1 8EN, UK;2. Department of Mechanical, Materials and Manufacturing Engineering Faculty, Nottingham University, NG7 2RD, UK;3. Rolls-Royce plc, Elton Road, Derby DE24 8BJ, UK;4. Department of Management and Engineering, Linköping University, Sweden;5. School of Metallurgy and Materials, University of Birmingham, Edgbaston, Birmingham B15 2TT, UK;1. School of Aerospace Engineering, Tsinghua University, Beijing, China;2. Department of Civil Engineering, Technical University of Darmstadt, Germany;1. School of Aerospace Engineering, Tsinghua University, Beijing, China;2. Department of Civil Engineering, Technical University of Darmstadt, Germany
Abstract:In this paper, a crack opening stress equation for in-phase and out-of-phase thermomechanical fatigue (TMF) loading is proposed. The equation is derived from systematic calculations of the crack opening stress with a temperature dependent strip yield model for both plane stress and plane strain, different load ratios and different ratios of the temperature dependent yield stress in compression and tension. Using a load ratio scaled by the ratio of the yield stress in compression and tension, the equation accounts for the effect of the temperature dependent yield stress and the constraint on the crack opening stress. Based on the scaling relation established in this paper, Newman’s crack opening stress equation for isothermal loading is enabled to predict the crack opening stress under TMF loading.
Keywords:Fatigue crack closure  Thermomechanical fatigue  Strip yield model  Crack opening stress equation  Constraint
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