DataVXInternational Journal of Mechanics and Materials in DesignPaper
journal article·2026-06

Transient response analysis of thermal-impacted porous metals using a non-singular fractional electron–phonon two-temperature model

Jiakun Han, Chenlin Li, Jiaxi Zhou

International Journal of Mechanics and Materials in Design· Volume 22· Issue 2
Publisher page
Bibliographic record

Abstract

No abstract is available for this record. The assistant can identify its topic from the title, but cannot infer the study’s results.

Source: Not provided · Quality: missing

Research context

OpenAlex topics: Thermoelastic and Magnetoelastic Phenomena · Nonlocal and gradient elasticity in micro/nano structures · Composite Structure Analysis and Optimization

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (53)

Show source-provided references
1. Abouelregal, A.E.: Fractional order generalized thermo-piezoelectric semi-infinite medium with temperature-dependent properties subjected to a ramp-type heating. J. Therm. Stress. (2011). https://doi.org/10.1080/01495739.2011.60601810.1080/01495739.2011.606018 ↗
2. Abouelregal, A.E.: A comparative study of a thermoelastic problem for an infinite rigid cylinder with thermal properties using a new heat conduction model including fractional operators without non-singular kernels. Arch. Appl. Mech. 92(11), 3141–3161 (2022). https://doi.org/10.1007/s00419-022-02228-910.1007/s00419-022-02228-9 ↗
3. Abouelregal, A.E.: Mathematical modeling of functionally graded nanobeams via fractional heat conduction model with non-singular kernels. Arch. Appl. Mech. 93(3), 977–995 (2023). https://doi.org/10.1007/s00419-022-02309-910.1007/s00419-022-02309-9 ↗
4. Abouelregal, A.E., Sofiyev, A.H., Sedighi, H.M., Fahmy, M.A.: Generalized heat equation with the Caputo-Fabrizio fractional derivative for a nonsimple thermoelastic cylinder with temperature-dependent properties. Phys. Mesomech. 26(2), 224–240 (2023). https://doi.org/10.1134/S102995992302010810.1134/S1029959923020108 ↗
5. Abouelregal, A.E., Alhassan, Y., Althagafi, H., Alsharif, F.: A two-temperature fractional DPL thermoelasticity model with an exponential Rabotnov kernel for a flexible cylinder with changeable properties. Fractal Fract. 8(4), 182 (2024a). https://doi.org/10.3390/fractalfract804018210.3390/fractalfract8040182 ↗
6. Abouelregal, A.E., Marin, M., Askar, S.S., Foul, A.: A non‐local fractional two‐phase delay thermoelastic model for a solid half‐space whose properties change with temperature and affected by hydrostatic pressure. ZAMM 104(8), e202400102 (2024b). https://doi.org/10.1002/zamm.20240010210.1002/zamm.202400102 ↗
7. Abouelregal, A., Yaylacı, M., Alhashash, A., et al.: Fractional thermoelastic analysis of infinite porous materials with cylindrical cavities and voids using a modified space-time-nonlocality kernel. Int. J. Mech. Mater. des. 21, 1297–1321 (2025a). https://doi.org/10.1007/s10999-025-09783-310.1007/s10999-025-09783-3 ↗
8. Abouelregal, A.E., Marin, M., Foul, A., S Askar, S.: Spatiotemporal nonlocal thermoelastic model with Caputo-tempered fractional derivatives for infinite thermoelastic porous half-space with voids. J. Comput. Appl. Mech. 56(2), 276–295 (2025b). https://doi.org/10.22059/jcamech.2025.390564.137210.22059/jcamech.2025.390564.1372 ↗
9. Ahmed, I.E., Abouelregal, A.E., Aldandani, M.: Study of the behavior of photothermal and mechanical stresses in semiconductor nanostructures using a photoelastic heat transfer model that incorporates non-singular fractional derivative operators. Acta Mech. 236(2), 1339–1358 (2025). https://doi.org/10.1007/s00707-024-04195-410.1007/s00707-024-04195-4 ↗
10. Alhejaili, W., Nasr, M.A.E., Lotfy, K., El-Bary, A.: Laser short pulse effect on magneto-photo-elasto-thermodiffusion waves of fractional heat equation for non-local excited semiconductor. Opt. Quant. Electron. 54(12), 833 (2022). https://doi.org/10.1007/s11082-022-04247-w10.1007/s11082-022-04247-w ↗
11. Al-Nimr, M.A., Kiwan, S.: Effect of thermal losses on the microscopic two-step heat conduction model. Int. J. Heat Mass Transf. 44, 1013–1018 (2001). https://doi.org/10.1016/S0017-931(00)00160-510.1016/S0017-931(00)00160-5 ↗
12. Alsisi, A., El-Sapa, S., El-Bary, A.A., Lotfy, K.: Thermal optical mechanical waves of the microelongated semiconductor medium with fractional order heat time derivatives in a rotational field. Sci. Rep. 13(1), 8698 (2023). https://doi.org/10.1038/s41598-023-35497-710.1038/s41598-023-35497-7 ↗
13. Anisimov, S.I., Kapeliovich, B.L., Perelman, T.L.: Electron emission from metal surfaces exposed to ultrashort laser pulses. Sov. Phys. JETP 39, 375–377 (1974)
14. Atangana, A., Baleanu, D.: New fractional derivatives with nonlocal and non-singular kernel: theory and application to heat transfer model. Therm. Sci. 20(2), 763–769 (2016). https://doi.org/10.2298/TSCI160111018A10.2298/TSCI160111018A ↗
15. Brancik, L.: Programs for fast numerical inversion of Laplace transforms in MATLAB language environment. In: Proceedings of the 7th Conference MATLAB, vol. 99. Czech Republic, Prague, pp. 27–39 (1999)
16. Chen, J.K., Beraun, J.E., Grimes, L.E., Tzou, D.Y.: Modeling of femtosecond laser- induced non-equilibrium deformation in metal films. Int. J. Solids Struct. 39, 3199–3216 (2002). https://doi.org/10.1016/S0020-7683(02)00242-110.1016/S0020-7683(02)00242-1 ↗
17. Cowin, S.C., Nunziato, J.W.: Linear elastic materials with voids. J. Elast. 13, 125–147 (1983). https://doi.org/10.1007/BF0004123010.1007/BF00041230 ↗
18. Dai, W., Li, G.: A finite difference scheme for solving parabolic two-step micro-heat transport equations in a double-layered micro-sphere heated by ultrashort-pulsed lasers. Numer. Methods Partial Differ. Equ. 22, 1396–1417 (2006). https://doi.org/10.1002/num.2016210.1002/num.20162 ↗
19. Du, G., Yang, Q., Chen, F., Wu, Y., Ou, Y., Lu, Y., Hou, X.: Ultrafast thermalization dynamics in two-layer metal films excited by temporally shaped femtosecond laser. Int. J. Heat Mass Transf. 87, 341–346 (2015). https://doi.org/10.1016/j.ijheatmasstransfer.2015.03.09010.1016/j.ijheatmasstransfer.2015.03.090 ↗
20. El-Sapa, S., Lotfy, K., Elidy, E.S., El-Bary, A., Tantawi, R.S.: Photothermal excitation process in semiconductor materials under the effect moisture diffusivity. SILICON 15, 4171–4182 (2023). https://doi.org/10.1007/s12633-023-02311-y10.1007/s12633-023-02311-y ↗
21. Eringen, A.C.: On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves. J. Appl. Phys. 54, 4703–4710 (1983). https://doi.org/10.1063/1.33280310.1063/1.332803 ↗
22. Ezzat, M.A., El-Bary, A.A.: Effects of variable thermal conductivity and fractional order of heat transfer on a perfect conducting infinitely long hollow cylinder. Int. J. Therm. Sci. (2016a). https://doi.org/10.1016/j.ijthermalsci.2016.04.02010.1016/j.ijthermalsci.2016.04.020 ↗
23. Ezzat, M.A., El-Bary, A.A.: Magneto-thermoelectric viscoelastic materials with memory-dependent derivative involving two-temperature. Int J Appl Electrom. 50(4), 549–567 (2016b). https://doi.org/10.3233/JAE-15013110.3233/JAE-150131 ↗
24. Fernández, J.R., Quintanilla, R.: A higher-order porous thermoelastic problem with microtemperatures. Appl. Math. Mech. 44(11), 1911–1926 (2023). https://doi.org/10.1007/s10483-023-3049-810.1007/s10483-023-3049-8 ↗
25. Guo, H.L., Li, C.L., Tian, X.G.: A modified fractional-order generalized piezoelectric thermoelasticity model with variable thermal conductivity. J. Therm. Stress. (2018). https://doi.org/10.1080/01495739.2018.152298710.1080/01495739.2018.1522987 ↗
26. Hendy, M.H., Amin, M.M., Ezzat, M.A.: Memory-dependent derivative theory of ultrafast laser-induced behavior in magneto-thermo-viscoelastic metal films. Indian J. Phys. 95, 1121–1130 (2021). https://doi.org/10.1007/s12648-020-01783-710.1007/s12648-020-01783-7 ↗
27. Ho, C.Y., Wen, M.Y., Chen, B.C., Tsai, Y.H.: Non-Fourier two-temperature heat conduction model used to analyze ultrashort-pulse laser processing of nanoscale metal film. J. Nanosci. Nanotechnol. 14, 5581–5586 (2014). https://doi.org/10.1166/jnn.2014.951610.1166/jnn.2014.9516 ↗
28. Ismail, G.M., Gepreel, K.A., Lotfy, K., Mahdy, A.M.S., El-Bary, A., Saeed, A.M.: Influence of variable thermal conductivity on thermal-plasma-elastic waves of excited microelongated semiconductor. Alex. Eng. J. 61(12), 12271–12282 (2022). https://doi.org/10.1016/j.aej.2022.06.02410.1016/j.aej.2022.06.024 ↗
29. Lee, D.G., Kim, S.H., Kim, S., Yu, J.H., Cho, S.W.: Prediction of material properties of ceramic composite material by porous structure and porosity using the finite element method. Int. J. Precis. Eng. Manuf. 20, 805–814 (2019). https://doi.org/10.1007/s12541-019-00127-810.1007/s12541-019-00127-8 ↗
30. Li, C., Zhou, J.: Space-time nonlocal multi-physics modeling of photo-carrier-thermoelastic dynamics and plasma plume absorption ultra-short pulse laser-ablated impact response in sandwich-like semiconductor composites. Int. Commun. Heat Mass Transf. 172, 110445 (2026). https://doi.org/10.1016/j.icheatmasstransfer.2025.11044510.1016/j.icheatmasstransfer.2025.110445 ↗
31. Li, C., Deng, W., Zhao, L.: Well-posedness and numerical algorithm for the tempered fractional ordinary differential equations. Discrete Continuous Dyn Syst Ser b. 24(4), 1989–2015 (2015). https://doi.org/10.3934/dcdsb.201902610.3934/dcdsb.2019026 ↗
32. Li, C., Guo, H., Tian, X., He, T.: Size-dependent thermo-electromechanical responses analysis of multi-layered piezoelectric nanoplates for vibration control. Compos. Struct. 225, 111112 (2019a). https://doi.org/10.1016/j.compstruct.2019.11111210.1016/j.compstruct.2019.111112 ↗
33. Li, C., Guo, H., Tian, X., He, T.: Generalized thermoelastic diffusion problems with fractional order strain. Eur. J. Mech. a. Solids 78, 103827 (2019b). https://doi.org/10.1016/j.euromechsol.2019.10382710.1016/j.euromechsol.2019.103827 ↗
34. Li, C., Tian, X., He, T.: New insights on piezoelectric thermoelastic coupling and transient thermo-electromechanical responses of multi-layered piezoelectric laminated composite structure. Eur. J. Mech. a. Solids 91, 104416 (2022). https://doi.org/10.1016/j.euromechsol.2021.10441610.1016/j.euromechsol.2021.104416 ↗
35. Li, C., Liu, J., He, T.: Fractional-order rate-dependent thermoelastic diffusion theory based on new definitions of fractional derivatives with non-singular kernels and the associated structural transient dynamic responses analysis of sandwich-like composite laminates. Commun. Nonlinear Sci. Numer. Simul. 132, 107896 (2024). https://doi.org/10.1016/j.cnsns.2024.10789610.1016/j.cnsns.2024.107896 ↗
36. Li, C., Wang, Y., Liu, J.: Stress gradient piezoelectric thermoelasticity based on nonlocal electron-phonon two-temperature thermal transport model and transient heat-shock responses analysis of multi-laminated piezoelectric composites. Appl. Math. Model. 143, 116028 (2025a). https://doi.org/10.1016/j.apm.2025.11602810.1016/j.apm.2025.116028 ↗
37. Li, C., Liu, J., Wang, Y.: New nonlocal poro-thermoelasticity model and impact response of laser heated temperature-dependent metallic sandwich-like porous laminated composites. Acta Mech. (2025b). https://doi.org/10.1007/s00707-025-04333-610.1007/s00707-025-04333-6 ↗
38. Li, C., Zhou, J., He, T.: Fractional-order photo-thermoelastic model for laser-induced dynamic response in sandwich laminated semiconductor composites. SILICON 17(11), 2651–2672 (2025c). https://doi.org/10.1007/s12633-025-03365-w10.1007/s12633-025-03365-w ↗
39. Lotfy, K., El-Bary, A.A.: Magneto-photo-thermo-microstretch semiconductor elastic medium due to photothermal transport process. SILICON 14(9), 4809–4821 (2022). https://doi.org/10.1007/s12633-021-01205-110.1007/s12633-021-01205-1 ↗
40. Lotfy, K., El-Bary, A.A., Hassan, W., Ahmed, M.H.: Hall current influence of microtemperature magneto-elastic semiconductor material. Superlatt. Microstruct. 139, 106428 (2020). https://doi.org/10.1016/j.spmi.2020.10642810.1016/j.spmi.2020.106428 ↗
41. Lu, Y.N., Li, C.L., He, T.H.: Fractional-order non-Fick mechanical diffusion coupling model based on new fractional derivatives and structural transient dynamic responses of multilayered composite laminates. Arch. Appl. Mech. 94, 239–259 (2024). https://doi.org/10.1007/s00419-023-02518-w10.1007/s00419-023-02518-w ↗
42. Nunziato, J.W., Cowin, S.C.: A nonlinear theory of elastic materials with voids. Arch. Ration. Mech. Anal. 72, 175–201 (1979). https://doi.org/10.1007/BF0024936310.1007/BF00249363 ↗
43. Othman, M., Lotfy, K.: Transient disturbance in a half-space under generalized magneto-thermoelasticity with internal heat source. Acta Phys. Pol. A 116(2), 185–192 (2009). https://doi.org/10.12693/APhysPolA.116.18510.12693/APhysPolA.116.185 ↗
44. Polizzotto, C.: Stress gradient versus strain gradient constitutive models within elasticity. Int. J. Solids Struct. 51, 1809–1818 (2014). https://doi.org/10.1016/j.ijsolstr.2014.01.02110.1016/j.ijsolstr.2014.01.021 ↗
45. Qin, J., Chen, Q., Yang, C., Huang, Y.: Research process on property and application of metal porous materials. J. Alloys Compd. 654, 39–44 (2016). https://doi.org/10.1016/j.jallcom.2015.09.14810.1016/j.jallcom.2015.09.148 ↗
46. Qiu, T.Q., Tien, C.L.: Heat transfer mechanisms during short-pulse laser heating of metals. J. Heat Transfer 115, 835–841 (1993). https://doi.org/10.1115/1.291137710.1115/1.2911377 ↗
47. Sun, H.G., Zhang, Y., Baleanu, D., Chen, W., Chen, Y.Q.: A new collection of real-world applications of fractional calculus in science and engineering. Commun Nonliner Sci. 64, 213–231 (2018). https://doi.org/10.1016/j.cnsns.2018.04.01910.1016/j.cnsns.2018.04.019 ↗
48. Tarasov, V.E.: No nonlocality. no fractional derivative. Commun. Nonlinear Sci. Numer. Simul. 62, 157-163 (2018). https://doi.org/10.1016/j.cnsns.2018.02.01910.1016/j.cnsns.2018.02.019 ↗
49. Tarasov, V.E.: Caputo-Fabrizio operator in terms of integer derivatives: memory or distributed lag? Comput. Appl. Math. 38, 113 (2019). https://doi.org/10.1007/s40314-019-0883-810.1007/s40314-019-0883-8 ↗
50. Tzou, D.Y., Chen, J.K., Beraun, J.E.: Hot-electron blast induced by ultrashort- pulsed lasers in layered media. Int. J. Heat Mass Transf. 45, 3369–3382 (2002). https://doi.org/10.1016/S0017-9310(02)00053-410.1016/S0017-9310(02)00053-4 ↗
51. Xue, Z.N., Chen, Z.T., Tian, X.G.: Two-dimensional thermal shock problem of generalized thermoelastic multilayered structures considering interfacial conditions. J. Therm. Stress. 41(6), 804–825 (2018). https://doi.org/10.1080/01495739.2017.142282510.1080/01495739.2017.1422825 ↗
52. Yang, W., Chen, Z.: Nonlocal dual-phase-lag heat conduction and the associated nonlocal thermal-viscoelastic analysis. Int. J. Heat. Mass. Tran. 156, 119752 (2020). https://doi.org/10.1016/j.ijheatmasstransfer.2020.11975210.1016/j.ijheatmasstransfer.2020.119752 ↗
53. Yu, Y.J., Deng, Z.C.: Fractional order thermoelasticity for piezoelectric materials. Fractals 29(04), 2150082 (2021). https://doi.org/10.1142/S0218348X2150082110.1142/S0218348X21500821 ↗