Elastic and Inelastic Recovery After Plastic Deformation of DQSK Steel Sheet

[+] Author and Article Information
Limin Luo, Amit K. Ghosh

Department of Materials Science and Engineering, University of Michigan, Ann Arbor, MI 48109

J. Eng. Mater. Technol 125(3), 237-246 (Jul 10, 2003) (10 pages) doi:10.1115/1.1491574 History: Received April 04, 2000; Revised December 18, 2001; Online July 10, 2003
Copyright © 2003 by ASME
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Typical stress-strain histories of several AKDQ specimens subjected to multistep progressive loading-unloading in tension (solid lines). Dotted line indicates stress levels at the transition point from stage 1 to stage 2 for instantaneous modulus change (see Fig. 3). Dashed line indicates the stress-strain curve of a virgin specimen subjected to uninterrupted tensile straining.
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(a) Stress versus strain curves for unloading and reloading, prestrain=0.112; (b) length strain versus transverse strain during unloading and reloading, prestrain=0.112
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(a) Instantaneous tangent modulus (ET) versus stress for loading and for unloading, after a prestrain of 0.085. Experimental results and those calculated from Eqs. (9), (16) are shown. (b) Instantaneous Poisson’s ratio versus stress after a prestrain of 0.085. Experimental data and calculated results from Eq. (19) are shown.
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Cycles of loading and unloading to show hysterisis loop formation for different loading levels. Note that some loops do not fully close.
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Strain-rate variation with stress during unloading (along RD). Arrow indicates stress level at the start of unloading.
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Stress-strain curves of DQSK steel subjected to tensile prestrain, and then laminated prestrained samples subjected to compression (see text for details)
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Change in instantaneous tangent modulus with stress from unloading after tensile prestrain, and followed by compression
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(a) Instantaneous modulus (ET) variation with stress during uploading for different plastic prestrain levels; (b) instantaneous modulus (ET) variation with stress during unloading for different plastic prestrain levels
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Variation of average unloading modulus of AKDQ steel with plastic prestrains along different directions in the sheet (RD, 45 deg, TD)
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Variation of average Poisson’s ratio of AKDQ steel with plastic prestrains along different directions in the sheet (RD, 45 deg, TD)
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Young’s modulus determined by dynamic resonant method as a function of sheet direction relative to the rolling direction. “Original material” refers to the as-received material, and “own direction” refers to where modulus is measured along the direction of prestrain.
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Partitioning of estimated strain components for linear elastic, nonlinear elastic, and anelastic deformation in the loading and unloading portions of stress-strain curves
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(a) Experimentally determined variation of K1 and K1′ (Eq. (17)) with plastic prestrain. (b) Experimentally determined variation of K2 and K2′ (Eq. (17)) with plastic prestrain.
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Experimental and calculated recovery strains after tensile deformation along RD. The curves labeled 1,2,3,4 refer to: 1=σ/ĒT,2=σ/E,3=γ̄σ/ĒT,4=νσ/E.
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Stress-strain curves at different strain rate
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Internal strength from transition point (between stage 1 and stage 2) stress
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Stress versus strain rate data points at different strain levels
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Stress-strain curves at different rate. Comparison of experimental data with calculation from Eqs. (A2) and (A3). Dotted line indicates additive strain hardening model while solid line indicates multiplicative strain hardening model.




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