Skip to main content
Erschienen in: Acta Mechanica 9/2023

10.06.2023 | Original Paper

Modeling the effect of precipitation spatial geometry and size distribution on the yield strength of aluminum alloys

verfasst von: Shuo Wang, Li Li, Geng Chen, Fang Li, Shenyou Peng, Xin Zeng, Jia Li, Yong Zhang, Ruidi Li, Qihong Fang

Erschienen in: Acta Mechanica | Ausgabe 9/2023

Einloggen, um Zugang zu erhalten

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

Aluminum alloys are widely used in transportation and aerospace industry because of their high strength-weight ratio and great formability. Compared with tuning grain refinement and solid solution, regulating precipitation strengthening through heat treatment is the most effective method to improve the yield strength of aluminum alloys. However, for the existing models, 3D precipitates are still simplified to 2D shape in aluminum alloys, and this trend causes the low accurate microstructure design. To address this issue, we develop a novel probability-dependent statistical model to predict the strength of aluminum alloys, considering the statistical distribution of the precipitate size and the relative spatial position of dislocations and precipitates. Compared with the classical model, the yield strength calculated from the current model is in good agreement with the experimental measurements, and the prediction accuracy is improved from 84.9% to 95.15%. In addition, the optimal size of precipitate is obtained for maximizing the strengthening effect. Our model not only provides a useful tool for the design of high-strength aluminum alloys, but also give a promising way to maximize the strength by changing the size distribution of the precipitate through a reasonable heat treatment process.
Literatur
1.
Zurück zum Zitat Cazacu, O., Chandola, N., Revil-Baudard, B., Frodal, B.H., Børvik, T., Hopperstad, O.S.: Modeling the effect of notch geometry on the deformation of a strongly anisotropic aluminum alloy. Eur. J. Mech. A Solid 82, 104004 (2020)MathSciNetMATH Cazacu, O., Chandola, N., Revil-Baudard, B., Frodal, B.H., Børvik, T., Hopperstad, O.S.: Modeling the effect of notch geometry on the deformation of a strongly anisotropic aluminum alloy. Eur. J. Mech. A Solid 82, 104004 (2020)MathSciNetMATH
2.
Zurück zum Zitat Cheng, J., Lane, R., Kesler, M.S., Brechtl, J., Hu, X., Mirzaeifar, R., Nawaz, K.: Experiment and non-local crystal plasticity finite element study of nanoindentation on Al-8Ce-10Mg alloy. Int. J. Solid. Struct. 233, 111233 (2021) Cheng, J., Lane, R., Kesler, M.S., Brechtl, J., Hu, X., Mirzaeifar, R., Nawaz, K.: Experiment and non-local crystal plasticity finite element study of nanoindentation on Al-8Ce-10Mg alloy. Int. J. Solid. Struct. 233, 111233 (2021)
3.
Zurück zum Zitat Frodal, M., Børvik, H.: On the effect of plastic anisotropy, strength and work hardening on the tensile ductility of aluminium alloys. Int. J. Solid. Struct. 188, 118–132 (2020) Frodal, M., Børvik, H.: On the effect of plastic anisotropy, strength and work hardening on the tensile ductility of aluminium alloys. Int. J. Solid. Struct. 188, 118–132 (2020)
4.
Zurück zum Zitat Morin, D., Fourmeau, M., Børvik, T., Benallal, A., Hopperstad, O.S.: Anisotropic tensile failure of metals by the strain localization theory: an application to a high-strength aluminium alloy. Eur. J. Mech. A Solid 69, 99–112 (2018)MathSciNetMATH Morin, D., Fourmeau, M., Børvik, T., Benallal, A., Hopperstad, O.S.: Anisotropic tensile failure of metals by the strain localization theory: an application to a high-strength aluminium alloy. Eur. J. Mech. A Solid 69, 99–112 (2018)MathSciNetMATH
5.
Zurück zum Zitat Mulyukov, R.R., Korznikova, G.F., Nazarov, K.S., Khisamov, R.K., Sergeev, S.N., Shayachmetov, R.U., Korznikova, E.A.: Annealing-induced phase transformations and hardness evolution in Al–Cu–Al composites obtained by high-pressure torsion. Acta Mech. 232, 1815–1828 (2021)MATH Mulyukov, R.R., Korznikova, G.F., Nazarov, K.S., Khisamov, R.K., Sergeev, S.N., Shayachmetov, R.U., Korznikova, E.A.: Annealing-induced phase transformations and hardness evolution in Al–Cu–Al composites obtained by high-pressure torsion. Acta Mech. 232, 1815–1828 (2021)MATH
6.
Zurück zum Zitat Cao, D., Malakooti, S., Kulkarni, V.N., Ren, Y., Lu, H.: Nanoindentation measurement of core–skin interphase viscoelastic properties in a sandwich glass composite. Mech. Time-Depend. Mater. 25, 353–363 (2021) Cao, D., Malakooti, S., Kulkarni, V.N., Ren, Y., Lu, H.: Nanoindentation measurement of core–skin interphase viscoelastic properties in a sandwich glass composite. Mech. Time-Depend. Mater. 25, 353–363 (2021)
7.
Zurück zum Zitat Cao, D., Malakooti, S., Kulkarni, V.N., Ren, Y., Liu, Y., Nie, X., Lu, H.: The effect of resin uptake on the flexural properties of compression molded sandwich composites. Wind Energy 25, 71–93 (2022) Cao, D., Malakooti, S., Kulkarni, V.N., Ren, Y., Liu, Y., Nie, X., Lu, H.: The effect of resin uptake on the flexural properties of compression molded sandwich composites. Wind Energy 25, 71–93 (2022)
8.
Zurück zum Zitat Wang, X., Xu, T., de Andrade, M.J., Rampalli, I., Cao, D., Haque, M., Lu, H.: The interfacial shear strength of carbon nanotube sheet modified carbon fiber composites. Chall. Mech. Time Depend. Mater. 2, 25–32 (2021) Wang, X., Xu, T., de Andrade, M.J., Rampalli, I., Cao, D., Haque, M., Lu, H.: The interfacial shear strength of carbon nanotube sheet modified carbon fiber composites. Chall. Mech. Time Depend. Mater. 2, 25–32 (2021)
9.
Zurück zum Zitat Cusset, R., Azzouz, F., Besson, J., Dragon-Louiset, M., Jacques, V., Proudhon, H.: Modeling plasticity of an aluminum 2024T351 thick rolled plate for cold forming applications. Int. J. Solid. Struct. 202, 463–474 (2020) Cusset, R., Azzouz, F., Besson, J., Dragon-Louiset, M., Jacques, V., Proudhon, H.: Modeling plasticity of an aluminum 2024T351 thick rolled plate for cold forming applications. Int. J. Solid. Struct. 202, 463–474 (2020)
10.
Zurück zum Zitat Liu, H., Wang, X.M., Liang, H., Zhao, Z.N., Li, L., Yue, Z.F., Deng, C.H.: The effect of void defect on the evolution mechanisms of dislocations and mechanical properties in nickel-based superalloys by molecular dynamics simulation of real γ/γ′ structures. Int. J. Solid. Struct. 191, 464–472 (2020) Liu, H., Wang, X.M., Liang, H., Zhao, Z.N., Li, L., Yue, Z.F., Deng, C.H.: The effect of void defect on the evolution mechanisms of dislocations and mechanical properties in nickel-based superalloys by molecular dynamics simulation of real γ/γ′ structures. Int. J. Solid. Struct. 191, 464–472 (2020)
11.
Zurück zum Zitat Xu, T., Arson, C.: Self-consistent approach for modeling coupled elastic and visco-plastic processes induced by dislocation and pressure solution. Int. J. Solid. Struct. 238, 111376 (2022) Xu, T., Arson, C.: Self-consistent approach for modeling coupled elastic and visco-plastic processes induced by dislocation and pressure solution. Int. J. Solid. Struct. 238, 111376 (2022)
12.
Zurück zum Zitat Faleskog, J., Gudmundson, P.: Analytical predictions of yield stress of a strain gradient plasticity material reinforced by small elastic particles. J. Mech. Phys. Solids 157, 104623 (2021)MathSciNet Faleskog, J., Gudmundson, P.: Analytical predictions of yield stress of a strain gradient plasticity material reinforced by small elastic particles. J. Mech. Phys. Solids 157, 104623 (2021)MathSciNet
13.
Zurück zum Zitat Sha, G., Cerezo, A.: Early-stage precipitation in Al–Zn–Mg–Cu alloy (7050). Acta Mater. 52, 4503–4516 (2004) Sha, G., Cerezo, A.: Early-stage precipitation in Al–Zn–Mg–Cu alloy (7050). Acta Mater. 52, 4503–4516 (2004)
14.
Zurück zum Zitat Fan, H., Zhu, Y., El-Awady, J.A., Raabe, D.: Precipitation hardening effects on extension twinning in magnesium alloys. Int. J. Plast. 106, 186–202 (2018) Fan, H., Zhu, Y., El-Awady, J.A., Raabe, D.: Precipitation hardening effects on extension twinning in magnesium alloys. Int. J. Plast. 106, 186–202 (2018)
15.
Zurück zum Zitat Hu, Y., Curtin, W.A.: Modeling peak-aged precipitate strengthening in Al–Mg–Si alloys. J. Mech. Phys. Solids 151, 104378 (2021) Hu, Y., Curtin, W.A.: Modeling peak-aged precipitate strengthening in Al–Mg–Si alloys. J. Mech. Phys. Solids 151, 104378 (2021)
16.
Zurück zum Zitat Hu, T., Ma, K., Topping, T.D., Schoenung, J.M., Lavernia, E.J.: Precipitation phenomena in an ultrafine-grained Al alloy. Acta Mater. 61, 2163–2178 (2013) Hu, T., Ma, K., Topping, T.D., Schoenung, J.M., Lavernia, E.J.: Precipitation phenomena in an ultrafine-grained Al alloy. Acta Mater. 61, 2163–2178 (2013)
17.
Zurück zum Zitat Li, L., Liu, F., Tan, L., Fang, Q.H., Liaw, P.K., Li, J.: Uncertainty and statistics of dislocation-precipitate interactions on creep resistance. Cell Rep. Phys. Sci. 3, 100704 (2022) Li, L., Liu, F., Tan, L., Fang, Q.H., Liaw, P.K., Li, J.: Uncertainty and statistics of dislocation-precipitate interactions on creep resistance. Cell Rep. Phys. Sci. 3, 100704 (2022)
18.
Zurück zum Zitat Deng, X.: Precipitation strengthening of stress-aged Al-Cu-Mg-Ag alloy single crystals. Mater. Sci. Eng. A 819, 141458 (2021) Deng, X.: Precipitation strengthening of stress-aged Al-Cu-Mg-Ag alloy single crystals. Mater. Sci. Eng. A 819, 141458 (2021)
19.
Zurück zum Zitat Liu, H., Papadimitriou, I., Lin, F.X., LLorca, J.: Precipitation during high temperature aging of Al–Cu alloys: a multiscale analysis based on first principles calculations. Acta Mater. 167, 121–135 (2019) Liu, H., Papadimitriou, I., Lin, F.X., LLorca, J.: Precipitation during high temperature aging of Al–Cu alloys: a multiscale analysis based on first principles calculations. Acta Mater. 167, 121–135 (2019)
20.
Zurück zum Zitat Krasnikov, V.S., Mayer, A.E.: Dislocation dynamics in aluminum containing θ’phase: atomistic simulation and continuum modeling. Int. J. Plast. 119, 21–42 (2019) Krasnikov, V.S., Mayer, A.E.: Dislocation dynamics in aluminum containing θ’phase: atomistic simulation and continuum modeling. Int. J. Plast. 119, 21–42 (2019)
21.
Zurück zum Zitat Ren, S., Li, J., Fang, Q., Feng, H.: Effect of solid solution addition on the dislocation emission in aluminum alloys. Acta Mech. 231, 4537–4545 (2020) Ren, S., Li, J., Fang, Q., Feng, H.: Effect of solid solution addition on the dislocation emission in aluminum alloys. Acta Mech. 231, 4537–4545 (2020)
22.
Zurück zum Zitat Ma, K., Wen, H., Hu, T., Topping, T.D., Isheim, D., Seidman, D.N., Schoenung, J.M.: Mechanical behavior and strengthening mechanisms in ultrafine grain precipitation-strengthened aluminum alloy. Acta Mater. 62, 141–155 (2014) Ma, K., Wen, H., Hu, T., Topping, T.D., Isheim, D., Seidman, D.N., Schoenung, J.M.: Mechanical behavior and strengthening mechanisms in ultrafine grain precipitation-strengthened aluminum alloy. Acta Mater. 62, 141–155 (2014)
23.
Zurück zum Zitat Santos-Güemes, R., Segurado, J., LLorca, J.: A generalized line tension model for precipitate strengthening in metallic alloys. Eur. J. Mech. A Solid 93, 104540 (2022)MATH Santos-Güemes, R., Segurado, J., LLorca, J.: A generalized line tension model for precipitate strengthening in metallic alloys. Eur. J. Mech. A Solid 93, 104540 (2022)MATH
24.
Zurück zum Zitat Lee, S.H., Jung, J.G., Baik, S.I., Seidman, D.N., Kim, M.S., Lee, Y.K., Euh, K.: Precipitation strengthening in naturally aged Al–Zn–Mg–Cu alloy. Mater. Sci. Eng. A 803, 140719 (2021) Lee, S.H., Jung, J.G., Baik, S.I., Seidman, D.N., Kim, M.S., Lee, Y.K., Euh, K.: Precipitation strengthening in naturally aged Al–Zn–Mg–Cu alloy. Mater. Sci. Eng. A 803, 140719 (2021)
25.
Zurück zum Zitat Wen, H., Topping, T.D., Isheim, D., Seidman, D.N., Lavernia, E.J.: Strengthening mechanisms in a high-strength bulk nanostructured Cu–Zn–Al alloy processed via cryomilling and spark plasma sintering. Acta Mater. 61, 2769–2782 (2013) Wen, H., Topping, T.D., Isheim, D., Seidman, D.N., Lavernia, E.J.: Strengthening mechanisms in a high-strength bulk nanostructured Cu–Zn–Al alloy processed via cryomilling and spark plasma sintering. Acta Mater. 61, 2769–2782 (2013)
26.
Zurück zum Zitat Santos-Güemes, R., Bellón, B., Esteban-Manzanares, G., Segurado, J., Capolungo, L., LLorca, J.: Multiscale modelling of precipitation hardening in Al–Cu alloys: Dislocation dynamics simulations and experimental validation. Acta Mater. 188, 475–485 (2020) Santos-Güemes, R., Bellón, B., Esteban-Manzanares, G., Segurado, J., Capolungo, L., LLorca, J.: Multiscale modelling of precipitation hardening in Al–Cu alloys: Dislocation dynamics simulations and experimental validation. Acta Mater. 188, 475–485 (2020)
27.
Zurück zum Zitat Ma, K., Hu, T., Yang, H., Topping, T., Yousefiani, A., Lavernia, E.J., Schoenung, J.M.: Coupling of dislocations and precipitates: impact on the mechanical behavior of ultrafine grained Al–Zn–Mg alloys. Acta Mater. 103, 153–164 (2016) Ma, K., Hu, T., Yang, H., Topping, T., Yousefiani, A., Lavernia, E.J., Schoenung, J.M.: Coupling of dislocations and precipitates: impact on the mechanical behavior of ultrafine grained Al–Zn–Mg alloys. Acta Mater. 103, 153–164 (2016)
28.
Zurück zum Zitat Dai, P., Luo, X., Yang, Y., Kou, Z., Huang, B., Wang, C., Ru, J.: Nano-scale precipitate evolution and mechanical properties of 7085 aluminum alloy during thermal exposure. Mater. Sci. Eng. A 729, 411–422 (2018) Dai, P., Luo, X., Yang, Y., Kou, Z., Huang, B., Wang, C., Ru, J.: Nano-scale precipitate evolution and mechanical properties of 7085 aluminum alloy during thermal exposure. Mater. Sci. Eng. A 729, 411–422 (2018)
29.
Zurück zum Zitat Bellón, B., Haouala, S., Lorca, J.: An analysis of the influence of the precipitate type on the mechanical behavior of Al-Cu alloys by means of micropillar compression tests. Acta Mater. 194, 207–223 (2020) Bellón, B., Haouala, S., Lorca, J.: An analysis of the influence of the precipitate type on the mechanical behavior of Al-Cu alloys by means of micropillar compression tests. Acta Mater. 194, 207–223 (2020)
30.
Zurück zum Zitat Ahmadi, M.R., Sonderegger, B., Povoden-Karadeniz, E., Falahati, A., Kozeschnik, E.: Precipitate strengthening of non-spherical precipitates extended in <100> or 100 direction in fcc crystals. Mater. Sci. Eng. A 590, 262–266 (2014) Ahmadi, M.R., Sonderegger, B., Povoden-Karadeniz, E., Falahati, A., Kozeschnik, E.: Precipitate strengthening of non-spherical precipitates extended in <100> or 100 direction in fcc crystals. Mater. Sci. Eng. A 590, 262–266 (2014)
31.
Zurück zum Zitat Esteban-Manzanares, G., Bellón, B., Martínez, E., Papadimitriou, I., LLorca, J.: Strengthening of Al–Cu alloys by Guinier-Preston zones: predictions from atomistic simulations. J. Mech. Phys. Solids 132, 1036 (2019) Esteban-Manzanares, G., Bellón, B., Martínez, E., Papadimitriou, I., LLorca, J.: Strengthening of Al–Cu alloys by Guinier-Preston zones: predictions from atomistic simulations. J. Mech. Phys. Solids 132, 1036 (2019)
32.
Zurück zum Zitat Chen, H., Chen, Z., Ji, G., Zhong, S., Wang, H., Borbély, A., Bréchet, Y.: The influence of shearable and nonshearable precipitates on the Portevin-Le Chatelier behavior in precipitation hardening AlMgScZr alloys. Int. J. Plast. 147, 103120 (2021) Chen, H., Chen, Z., Ji, G., Zhong, S., Wang, H., Borbély, A., Bréchet, Y.: The influence of shearable and nonshearable precipitates on the Portevin-Le Chatelier behavior in precipitation hardening AlMgScZr alloys. Int. J. Plast. 147, 103120 (2021)
33.
Zurück zum Zitat Luca, A.D., Seidman, D.N., Dunand, D.C.: Effects of Mo and Mn microadditions on strengthening and over-aging resistance of nanoprecipitation-strengthened Al-Zr-Sc-Er-Si alloys. Acta Mater. 165, 1–14 (2019) Luca, A.D., Seidman, D.N., Dunand, D.C.: Effects of Mo and Mn microadditions on strengthening and over-aging resistance of nanoprecipitation-strengthened Al-Zr-Sc-Er-Si alloys. Acta Mater. 165, 1–14 (2019)
34.
Zurück zum Zitat Nie, J.F., Muddle, B.C.: Microstructural design of high-strength aluminum alloys. J. Phase Equilib. 19, 543–551 (1998) Nie, J.F., Muddle, B.C.: Microstructural design of high-strength aluminum alloys. J. Phase Equilib. 19, 543–551 (1998)
35.
Zurück zum Zitat Xue, H., Yang, C., Kuang, J., Zhang, P., Zhang, J.Y., Liu, G., Sun, J.: Highly interdependent dual precipitation and its effect on mechanical properties of Al–Cu-Sc alloys. Mater. Sci. Eng. A 820, 141526 (2021) Xue, H., Yang, C., Kuang, J., Zhang, P., Zhang, J.Y., Liu, G., Sun, J.: Highly interdependent dual precipitation and its effect on mechanical properties of Al–Cu-Sc alloys. Mater. Sci. Eng. A 820, 141526 (2021)
36.
Zurück zum Zitat Fang, Q., Li, L., Li, J., Wu, H., Huang, Z., Liu, B., Liaw, P.K.: A statistical theory of probability-dependent precipitation strengthening in metals and alloys. J. Mech. Phys. Solids 122, 177–189 (2019) Fang, Q., Li, L., Li, J., Wu, H., Huang, Z., Liu, B., Liaw, P.K.: A statistical theory of probability-dependent precipitation strengthening in metals and alloys. J. Mech. Phys. Solids 122, 177–189 (2019)
37.
Zurück zum Zitat Yang, Y., He, G., Liu, Y., Li, K., Wu, W., Huang, C.: Quantitative contribution of T1 phase to the strength of Al-Cu-Li alloys. J. Mater. Sci. 56, 18368–18390 (2021) Yang, Y., He, G., Liu, Y., Li, K., Wu, W., Huang, C.: Quantitative contribution of T1 phase to the strength of Al-Cu-Li alloys. J. Mater. Sci. 56, 18368–18390 (2021)
38.
Zurück zum Zitat Krasnikov, V.S., Mayer, A.E., Pogorelko, V.V., Latypov, F.T., Ebel, A.A.: Interaction of dislocation with GP zones or θ" phase precipitates in aluminum: Atomistic simulations and dislocation dynamics. Int. J. Plast. 125, 169–190 (2020) Krasnikov, V.S., Mayer, A.E., Pogorelko, V.V., Latypov, F.T., Ebel, A.A.: Interaction of dislocation with GP zones or θ" phase precipitates in aluminum: Atomistic simulations and dislocation dynamics. Int. J. Plast. 125, 169–190 (2020)
39.
Zurück zum Zitat Alabbad, B., Li, L., Tin, S.: Controlling the grain boundary morphology and secondary γ′ precipitate size distribution in Ni-base superalloys. J. Alloys Compd. 775, 931–941 (2019) Alabbad, B., Li, L., Tin, S.: Controlling the grain boundary morphology and secondary γ′ precipitate size distribution in Ni-base superalloys. J. Alloys Compd. 775, 931–941 (2019)
40.
Zurück zum Zitat Yildiz, R.A., Yilmaz, S.: Experimental Investigation of GTN model parameters of 6061 Al alloy. Eur. J. Mech. A Solid 83, 104040 (2020) Yildiz, R.A., Yilmaz, S.: Experimental Investigation of GTN model parameters of 6061 Al alloy. Eur. J. Mech. A Solid 83, 104040 (2020)
41.
Zurück zum Zitat Chen, Z., Zhao, K., Fan, L.: Combinative hardening effects of precipitation in a commercial aged Al–Cu–Li–X alloy. Mater. Sci. Eng. A 588, 59–64 (2013) Chen, Z., Zhao, K., Fan, L.: Combinative hardening effects of precipitation in a commercial aged Al–Cu–Li–X alloy. Mater. Sci. Eng. A 588, 59–64 (2013)
42.
Zurück zum Zitat Jiang, B., Wang, H., Yi, D., Tian, Y., Shen, F., Wang, B., Hu, Z.: Effect of Ag addition on the age hardening and precipitation behavior in an Al-Cu-Li-Mg-Zn-Mn-Zr alloy. Mater. Charact. 162, 110184 (2020) Jiang, B., Wang, H., Yi, D., Tian, Y., Shen, F., Wang, B., Hu, Z.: Effect of Ag addition on the age hardening and precipitation behavior in an Al-Cu-Li-Mg-Zn-Mn-Zr alloy. Mater. Charact. 162, 110184 (2020)
43.
Zurück zum Zitat Chung, T.F., Yang, Y.L., Shiojiri, M., Hsiao, C.N., Li, W.C., Tsao, C.S., Yang, J.R.: An atomic scale structural investigation of nanometre-sized η precipitates in the 7050 aluminium alloy. Acta Mater. 174, 351–368 (2019) Chung, T.F., Yang, Y.L., Shiojiri, M., Hsiao, C.N., Li, W.C., Tsao, C.S., Yang, J.R.: An atomic scale structural investigation of nanometre-sized η precipitates in the 7050 aluminium alloy. Acta Mater. 174, 351–368 (2019)
44.
Zurück zum Zitat Peng, J., Li, L., Li, F., Liu, B., Zherebtsov, S., Fang, Q., Li, J., Stepanov, N., Liu, Y.: The predicted rate-dependent deformation behaviour and multistage strain hardening in a model heterostructured body-centered cubic high entropy alloy. Int. J. Plast. 145, 103073 (2021) Peng, J., Li, L., Li, F., Liu, B., Zherebtsov, S., Fang, Q., Li, J., Stepanov, N., Liu, Y.: The predicted rate-dependent deformation behaviour and multistage strain hardening in a model heterostructured body-centered cubic high entropy alloy. Int. J. Plast. 145, 103073 (2021)
45.
Zurück zum Zitat Yuan, R.: Establishing a quantitative relationship between strain gradient and hetero-deformation-induced stress in gradient-structured metals. Acta Mech. 233, 961–989 (2022)MATH Yuan, R.: Establishing a quantitative relationship between strain gradient and hetero-deformation-induced stress in gradient-structured metals. Acta Mech. 233, 961–989 (2022)MATH
46.
Zurück zum Zitat Chen, J., Lv, L., Zhen, L., Dai, S.: Precipitation strengthening model of AA7055 aluminium alloy. Acta Metall. Sin. 57, 353–362 (2020) Chen, J., Lv, L., Zhen, L., Dai, S.: Precipitation strengthening model of AA7055 aluminium alloy. Acta Metall. Sin. 57, 353–362 (2020)
47.
Zurück zum Zitat Seidman, D.N., Marquis, E.A., Dunand, D.C.: Precipitation strengthening at ambient and elevated temperatures of heat-treatable Al(Sc) alloys. Acta Mater. 50, 4021–4035 (2002) Seidman, D.N., Marquis, E.A., Dunand, D.C.: Precipitation strengthening at ambient and elevated temperatures of heat-treatable Al(Sc) alloys. Acta Mater. 50, 4021–4035 (2002)
48.
Zurück zum Zitat Souza, P.H.L., de Oliveira, C.A.S., Quaresma, J.M.V.: Precipitation hardening in dilute Al–Zr alloys. J. Mater. Res. Technol. 7, 66–72 (2018) Souza, P.H.L., de Oliveira, C.A.S., Quaresma, J.M.V.: Precipitation hardening in dilute Al–Zr alloys. J. Mater. Res. Technol. 7, 66–72 (2018)
49.
Zurück zum Zitat Wang, Y., Zhang, S., Wu, R., Turakhodjaev, N., Hou, L., Zhang, J., Betsofen, S.: Coarsening kinetics and strengthening mechanisms of core-shell nanoscale precipitates in Al-Li-Yb-Er-Sc-Zr alloy. J. Mater. Sci. Technol. 61, 197–203 (2021) Wang, Y., Zhang, S., Wu, R., Turakhodjaev, N., Hou, L., Zhang, J., Betsofen, S.: Coarsening kinetics and strengthening mechanisms of core-shell nanoscale precipitates in Al-Li-Yb-Er-Sc-Zr alloy. J. Mater. Sci. Technol. 61, 197–203 (2021)
50.
Zurück zum Zitat Semiatin, S.L., Mahaffey, D.W., Levkulich, N.C., Senkov, O.N., Tiley, J.S.: The effect of cooling rate on high-temperature precipitation in a powder-metallurgy, gamma/gamma-prime nickel-base superalloy. Metall. Mater. Trans A 49, 6265–6276 (2018) Semiatin, S.L., Mahaffey, D.W., Levkulich, N.C., Senkov, O.N., Tiley, J.S.: The effect of cooling rate on high-temperature precipitation in a powder-metallurgy, gamma/gamma-prime nickel-base superalloy. Metall. Mater. Trans A 49, 6265–6276 (2018)
51.
Zurück zum Zitat Fang, Q., Huang, Z., Li, L., Huang, Z., Liu, B., Liu, Y., Liaw, P.K.: Modeling the competition between solid solution and precipitate strengthening of alloys in a 3D space. Int. J. Plast. 149, 103152 (2022) Fang, Q., Huang, Z., Li, L., Huang, Z., Liu, B., Liu, Y., Liaw, P.K.: Modeling the competition between solid solution and precipitate strengthening of alloys in a 3D space. Int. J. Plast. 149, 103152 (2022)
52.
Zurück zum Zitat Li, Y., Shi, Z., Lin, J., Yang, Y.L., Rong, Q., Huang, B.M., Balint, D.S.: A unified constitutive model for asymmetric tension and compression creep-ageing behaviour of naturally aged Al-Cu-Li alloy. Int. J. Plast. 89, 130–149 (2017) Li, Y., Shi, Z., Lin, J., Yang, Y.L., Rong, Q., Huang, B.M., Balint, D.S.: A unified constitutive model for asymmetric tension and compression creep-ageing behaviour of naturally aged Al-Cu-Li alloy. Int. J. Plast. 89, 130–149 (2017)
Metadaten
Titel
Modeling the effect of precipitation spatial geometry and size distribution on the yield strength of aluminum alloys
verfasst von
Shuo Wang
Li Li
Geng Chen
Fang Li
Shenyou Peng
Xin Zeng
Jia Li
Yong Zhang
Ruidi Li
Qihong Fang
Publikationsdatum
10.06.2023
Verlag
Springer Vienna
Erschienen in
Acta Mechanica / Ausgabe 9/2023
Print ISSN: 0001-5970
Elektronische ISSN: 1619-6937
DOI
https://doi.org/10.1007/s00707-023-03608-0

Weitere Artikel der Ausgabe 9/2023

Acta Mechanica 9/2023 Zur Ausgabe

    Marktübersichten

    Die im Laufe eines Jahres in der „adhäsion“ veröffentlichten Marktübersichten helfen Anwendern verschiedenster Branchen, sich einen gezielten Überblick über Lieferantenangebote zu verschaffen.