A phenomenological stress–strain model for wrought magnesium alloys under elastoplastic strain-controlled variable amplitude loading
Source abstract
Abstract
Abstract Wrought magnesium alloys typically reveal strong basal textures and thus, non-symmetric sigmoidal shaped hysteresis loops within the elastoplastic load range. A detailed description of those hysteresis loops is necessary for numerical fatigue analyses. Therefore, a one-dimensional phenomenological model was developed for elastoplastic strain-controlled constant and variable amplitude loading. The phenomenological model consists of a three-component equation, which considers elastic, plastic, and pseudoelastic strain components with a set of eight material constants. Experimentally and numerically determined hysteresis loops of four different magnesium alloys were compared by means of different examples with constant and variable amplitude. Good correlation is reached and the relevant fatigue parameters like strain energy density were estimated with good accuracy. Applying an energy based fatigue parameter on modelled hysteresis loops, the fatigue life is predicted adequately for constant and variable amplitude loading including mean strain and mean stress effects.
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Research context
OpenAlex topics: Magnesium Alloys: Properties and Applications · Aluminum Alloy Microstructure Properties · Advanced Welding Techniques Analysis
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (61)
Show source-provided references
1. Wrought magnesium: A 21st century outlook10.1007/s11837-004-0120-8 ↗
2. The twin-roll casting of magnesium alloys10.1007/s11837-009-0114-7 ↗
3. New technology for the production of magnesium strips and sheets
4. Plastic anisotropy and the role of non-basal slip in magnesium alloy AZ31B10.1016/j.ijplas.2004.05.018 ↗
5. Effective values of critical resolved shear stress for slip in polycrystalline magnesium and other hcp metals10.1016/j.scriptamat.2010.05.047 ↗
6. Geometrical criterion for the activation of prismatic slip in AZ61 Mg alloy sheets deformed at room temperature10.1016/j.actamat.2005.01.008 ↗
7. Plastic anisotropy of magnesium alloy AZ31B sheet
8. Hardening evolution of AZ31B Mg sheet10.1016/j.ijplas.2006.03.005 ↗
9. Isothermal strain-controlled quasi-static and cyclic deformation behavior of wrought magnesium alloy AZ3110.3139/146.030559 ↗
10. Twinning–detwinning behavior during the strain-controlled low-cycle fatigue testing of a wrought magnesium alloy, ZK60A10.1016/j.actamat.2007.10.030 ↗
11. Pseudoelastic behaviour of cast magnesium AZ91 alloy under cyclic loading–unloading10.1016/S1359-6454(03)00444-0 ↗
12. Reversible plastic strain during cyclic loading–unloading of Mg and Mg–Zn alloys10.1016/j.msea.2006.11.160 ↗
13. Anelastic behavior and phenomenological modeling of Mg ZEK100-O alloy sheet under cyclic tensile loading-unloading10.1016/j.msea.2012.11.009 ↗
14. Evaluation of low cycle fatigue life in AZ31 magnesium alloy10.1016/j.ijfatigue.2006.12.003 ↗
15. Low-cycle fatigue behavior of an as-extruded AM50 magnesium alloy10.1007/s11661-007-9181-y ↗
16. Strain-controlled low-cycle fatigue properties of a newly developed extruded magnesium alloy10.1007/s11661-008-9677-0 ↗
17. Strain controlled cyclic deformation behavior of an extruded magnesium alloy10.1016/j.msea.2008.05.016 ↗
18. Analysis of fatigue damage process in magnesium alloy AZ3110.1016/j.msea.2008.10.034 ↗
19. Fatigue properties of the hot extruded magnesium alloy AZ3110.1016/j.msea.2010.05.036 ↗
20. Cyclic axial and cyclic torsional behaviour of extruded AZ31B magnesium alloy10.1016/j.ijfatigue.2011.04.012 ↗
21. An experimental study on cyclic deformation and fatigue of extruded ZK60 magnesium alloy10.1016/j.ijfatigue.2011.08.016 ↗
22. Low-cycle fatigue deformation behavior and evaluation of fatigue life on extruded magnesium alloys10.1016/j.proeng.2011.04.207 ↗
23. Quasi-static and fatigue behavior of extruded ME21 and twin roll cast AZ31 magnesium sheet metals10.1016/j.msea.2013.09.088 ↗
24. Renner F. Einflussgrößen auf die Schwingfestigkeit von Magnesium-Guss- und -Knet-Legierungen und Lebensdauerrechnung. Dissertation, Technische Universität Clausthal, Papierflieger-Verlag Clausthal-Zellerfeld; 2004.
25. Low cycle fatigue properties of an extruded AZ31 magnesium alloy10.1016/j.ijfatigue.2008.03.009 ↗
26. Low-cycle fatigue characteristics of rolled Mg–3Al–1Zn alloy10.1016/j.ijfatigue.2010.05.002 ↗
27. Effect of strain ratio on cyclic deformation and fatigue of extruded AZ61A magnesium alloy10.1016/j.ijfatigue.2012.04.013 ↗
28. Low cycle fatigue behavior of the textured AZ31B magnesium alloy under the asymmetrical loading10.1016/j.msea.2012.10.004 ↗
29. Numerical fatigue analysis for twin roll cast magnesium sheet metal structures10.4028/www.scientific.net/AMR.891-892.1021 ↗
30. Uniaxial cyclic deformation and fatigue behavior of AM50 magnesium alloy sheet metals under symmetric and asymmetric loadings10.1016/j.matdes.2014.12.056 ↗
31. The exponential law of endurance tests
32. A study of the effect of cyclic thermal stresses on a ductile metals
33. Fatigue: a complex subject-some simple approximation10.1007/BF02321056 ↗
34. Cyclic material behaviour of magnesium die castings and extrusions10.1016/S0142-1123(02)00042-7 ↗
35. Influence of tension–compression loading history on plastic deformation of Mg wrought alloy AZ3110.3139/146.101381 ↗
36. Ramberg W, Osgood WR. Description of stress–strain curves by three parameters. Technical note no. 902, National Advisory Committee for Aeronautics, Washington, DC; 1943.
37. Zur Heynschen Theorie der Verfestigung der Metalle durch verborgene elastische Spannungen
38. Full-range stress–strain behaviour of contemporary pipeline steels: Part I. Model description10.1016/j.ijpvp.2012.01.006 ↗
39. Modelling of hysteresis using Masing–Bouc-Wen’s framework and search of conditions for the chaotic responses10.1016/j.cnsns.2006.09.003 ↗
40. Constitutive modeling for anisotropic/asymmetric hardening behavior of magnesium alloy sheets10.1016/j.ijplas.2007.05.004 ↗
41. An efficient constitutive model for room-temperature, low-rate plasticity of annealed Mg AZ31B sheet10.1016/j.ijplas.2009.11.001 ↗
42. Behravesh SB. Fatigue characterization and cyclic plasticity modeling of magnesium spot-welds. Dissertation, University of Waterloo, University of Waterloo Electronic Theses and Dissertations; 2013.
43. Constitutive modeling for cyclic behavior of AZ31B magnesium alloy and its application10.4028/www.scientific.net/AMR.891-892.809 ↗
44. A constitutive model of twinning and detwinning for hexagonal close packed polycrystals10.1016/j.msea.2012.06.038 ↗
45. A crystal plasticity model for hexagonal close packed (HCP) crystals including twinning and de-twinning mechanisms10.1016/j.ijplas.2013.02.016 ↗
46. Modeling inelastic behavior of magnesium alloys during cyclic loading–unloading10.1016/j.ijplas.2013.01.007 ↗
47. Generation and use of standardised load spectra and load–time histories10.1016/j.ijfatigue.2004.09.012 ↗
48. Changes of the texture and the mechanical properties of the extruded Mg alloy ME21 as a function of the process parameters10.1016/j.msea.2010.09.025 ↗
49. Multiaxial fatigue of extruded AZ31B magnesium alloy10.1016/j.msea.2012.03.039 ↗
50. Multiaxial fatigue of extruded AZ61A magnesium alloy10.1016/j.ijfatigue.2010.09.020 ↗
51. SEP 1240, Testing and documentation guideline for the experimental determination of mechanical properties of steel sheets for CAE-calculations, 1st ed.; 2006.
52. An experimental study of cyclic plastic deformation of extruded ZK60 magnesium alloy under uniaxial loading at room temperature10.1016/j.ijplas.2013.07.008 ↗
53. Role of 10–12 twinning characteristics in the deformation behavior of a polycrystalline magnesium alloy10.1016/j.actamat.2010.07.002 ↗
54. Presence of primary creep in various phase metals and alloys at ambient temperature10.1016/j.msea.2004.01.146 ↗
55. Potential ambiguity in the determination of the plastic strain range component in LCF testing10.1016/S0142-1123(99)00103-6 ↗
56. ISO/DIS 12106. Metallic materials – fatigue testing – axial-strain-controlled method; 1998.
57. BS 7270:1990. Metallic materials – constant amplitude strain-controlled axial fatigue – method of test; 1990.
58. A stress–strain function for the fatigue of metals
59. Effect of strain amplitude on tension–compression fatigue behavior of extruded Mg6Al1ZnA magnesium alloy10.1016/j.scriptamat.2010.01.052 ↗
60. Investigation of uniaxial low-cycle fatigue failure behavior of hot-rolled AZ91 magnesium alloy10.1016/j.ijfatigue.2012.10.010 ↗
61. Effect of strain ratio and strain rate on low cycle fatigue behavior of AZ31 wrought magnesium alloy10.1016/j.msea.2009.04.051 ↗