A wave propagation study for porous metal foam beams resting on an elastic foundation

References

• Jabbari M, Mojahedin A, Khorshidvand A, et al. Buckling analysis of a functionally graded thin circular plate made of saturated porous materials. J Eng Mech. 2013;140(2):287–295.
   Web of Science ®Google Scholar
• Khorshidvand A, Joubaneh EF, Jabbari M, et al. Buckling analysis of a porous circular plate with piezoelectric sensor–actuator layers under uniform radial compression. Acta Mech. 2014;225(1):179–193.
   Web of Science ®Google Scholar
• Ebrahimi F, Seyfi A, Dabbagh A. A novel porosity-dependent homogenization procedure for wave dispersion in nonlocal strain gradient inhomogeneous nanobeams. Eur Phys J Plus. 2019;134(5):226.
   Web of Science ®Google Scholar
• Ebrahimi F, Seyfi A, Dabbagh A. Dispersion of waves in FG porous nanoscale plates based on NSGT in thermal environment. Adv Nano Res. 2019;7(5):325–335.
   Web of Science ®Google Scholar
• Wattanasakulpong N, Ungbhakorn V. Linear and nonlinear vibration analysis of elastically restrained ends FGM beams with porosities. Aerosp Sci Technol. 2014;32(1):111–120.
   Web of Science ®Google Scholar
• Ebrahimi F, Zia M. Large amplitude nonlinear vibration analysis of functionally graded Timoshenko beams with porosities. Acta Astronaut. 2015;116:117–125.
   Web of Science ®Google Scholar
• Chen D, Yang J, Kitipornchai S. Free and forced vibrations of shear deformable functionally graded porous beams. Int J Mech Sci. 2016;108:14–22.
   Web of Science ®Google Scholar
• Shafiei N, Mousavi A, Ghadiri M. On size-dependent nonlinear vibration of porous and imperfect functionally graded tapered microbeams. Int J Eng Sci. 2016;106:42–56.
   Web of Science ®Google Scholar
• Atmane HA, Tounsi A, Bernard F. Effect of thickness stretching and porosity on mechanical response of a functionally graded beams resting on elastic foundations. Int J Mech Mater Des. 2017;13(1):71–84.
   Web of Science ®Google Scholar
• Al Rjoub YS, Hamad AG. Free vibration of functionally Euler-Bernoulli and Timoshenko graded porous beams using the transfer matrix method. KSCE J Civil Eng. 2017;21(3):792–806.
   Web of Science ®Google Scholar
• Karami B, Janghorban M, Li L. On guided wave propagation in fully clamped porous functionally graded nanoplates. Acta Astronaut. 2018;143:380–390.
   Web of Science ®Google Scholar
• Sahmani S, Aghdam MM, Rabczuk T. Nonlinear bending of functionally graded porous micro/nano-beams reinforced with graphene platelets based upon nonlocal strain gradient theory. Compos Struct. 2018;186:68–78.
   Web of Science ®Google Scholar
• She G-L, Yan K-M, Zhang Y-L, et al. Wave propagation of functionally graded porous nanobeams based on non-local strain gradient theory. Eur Phys J Plus. 2018;133(9):368.
   Web of Science ®Google Scholar
• Akbaş ŞD. Forced vibration analysis of functionally graded porous deep beams. Compos Struct. 2018;186:293–302.
   Web of Science ®Google Scholar
• Ebrahimi F, Seyfi A, Dabbagh A, et al. Wave dispersion characteristics of porous graphene platelet-reinforced composite shells. Struct Eng Mech. 2019;71(1):99–107.
   Web of Science ®Google Scholar
• Barati MR, Zenkour AM. Analysis of postbuckling behavior of general higher-order functionally graded nanoplates with geometrical imperfection considering porosity distributions. Mech Adv Mater Struct. 2019;26(12):1081–1088.
   Web of Science ®Google Scholar
• Sobhy M, Zenkour AM. Wave propagation in magneto-porosity FG bi-layer nanoplates based on a novel quasi-3D refined plate theory. Waves Random Complex Media. 2019: 1–21.
   Web of Science ®Google Scholar
• Tang H, Li L, Hu Y. Coupling effect of thickness and shear deformation on size-dependent bending of micro/nano-scale porous beams. Appl Math Model. 2019;66:527–547.
   Web of Science ®Google Scholar
• Abazid MA, Zenkour AM, Sobhy M. Wave propagation in FG porous GPLs-reinforced nanoplates under in-plane mechanical load and lorentz magnetic force via a new quasi 3D plate theory. Mech Based Des Struct Mach. 2020: 1–20.
   Web of Science ®Google Scholar
• Alzahrani EO, Zenkour AM, Sobhy M. Small scale effect on hygro-thermo-mechanical bending of nanoplates embedded in an elastic medium. Compos Struct. 2013;105:163–172.
   Web of Science ®Google Scholar
• Sobhy M, Zenkour AM. Thermal buckling of double-layered graphene system in humid environment. Mater Res Express. 2018;5(1):015028.
   Web of Science ®Google Scholar
• Sobhy M, Zenkour AM. A comprehensive study on the size-dependent hygrothermal analysis of exponentially graded microplates on elastic foundations. Mech Adv Mater Struct. 2020;27(10):816–830.
   Web of Science ®Google Scholar
• Sobhy M, Zenkour AM. The modified couple stress model for bending of normal deformable viscoelastic nanobeams resting on visco-Pasternak foundations. Mech Adv Mater Struct. 2020;27(7):525–538.
   Web of Science ®Google Scholar
• Banhart J. Manufacture, characterisation and application of cellular metals and metal foams. Prog Mater Sci. 2001;46(6):559–632.
   Web of Science ®Google Scholar
• Smith B, Szyniszewski S, Hajjar J, et al. Steel foam for structures: A review of applications, manufacturing and material properties. J Constr Steel Res. 2012;71:1–10.
   Web of Science ®Google Scholar
• Vaidya UK, Pillay S, Bartus S, et al. Impact and post-impact vibration response of protective metal foam composite sandwich plates. Mater Sci Eng A. 2006;428(1–2):59–66.
   Web of Science ®Google Scholar
• Magnucka-Blandzi E. Non-linear analysis of dynamic stability of metal foam circular plate. J Theor Appl Mech. 2010;48(1):207–217.
   Web of Science ®Google Scholar
• Debowski D, Magnucki K, Malinowski M. Dynamic stability of a metal foam rectangular plate. Steel Composite Struct. 2010;10(2):151–168.
   Web of Science ®Google Scholar
• Magnucka-Blandzi E. Dynamic stability and static stress state of a sandwich beam with a metal foam core using three modified Timoshenko hypotheses. Mech Adv Mater Struct. 2011;18(2):147–158.
   Web of Science ®Google Scholar
• Qin QH, Wang T. Plastic analysis of metal foam core sandwich beam transversely loaded by a flat punch: combined local denting and overall deformation. J Appl Mech. 2012;79(4):041010.
   Web of Science ®Google Scholar
• Jasion P, Magnucka-Blandzi E, Szyc W, et al. Global and local buckling of sandwich circular and beam-rectangular plates with metal foam core. Thin-Walled Struct. 2012;61:154–161.
   Web of Science ®Google Scholar
• Barati MR, Zenkour AM. Investigating post-buckling of geometrically imperfect metal foam nanobeams with symmetric and asymmetric porosity distributions. Compos Struct. 2017;182:91–98.
   Web of Science ®Google Scholar
• Barati MR. Nonlocal-strain gradient forced vibration analysis of metal foam nanoplates with uniform and graded porosities. Adv Nano Res. 2017;5(4):393–414.
   Web of Science ®Google Scholar
• Wang Y, Zhang Z. Non-local buckling analysis of functionally graded nanoporous metal foam nanoplates. Coatings. 2018;8(11):389.
   Web of Science ®Google Scholar
• Thang P T, Nguyen-Thoi T, Lee J. Mechanical stability of metal foam cylindrical shells with various porosity distributions. Mech Adv Mater Struct. 2020;27(4):295–303.
   Web of Science ®Google Scholar
• Qin Q, Zheng X, Zhang J, et al. Dynamic response of square sandwich plates with a metal foam core subjected to low-velocity impact. Int J Impact Eng. 2018;111:222–235.
   Web of Science ®Google Scholar
• Wang YQ, Ye C, Zu JW. Nonlinear vibration of metal foam cylindrical shells reinforced with graphene platelets. Aerosp Sci Technol. 2019;85:359–370.
   Web of Science ®Google Scholar
• Wang YQ, Liang C. Wave propagation characteristics in nanoporous metal foam nanobeams. Results Phys. 2019;12:287–297.
   Web of Science ®Google Scholar
• Zhang Y, Zhang F. Vibration and buckling of shear deformable functionally graded nanoporous metal foam nanoshells. Nanomaterials. 2019;9(2):271.
   Web of Science ®Google Scholar
• Gao K, Huang Q, Kitipornchai S, et al. Nonlinear dynamic buckling of functionally graded porous beams. Mech Adv Mater Struct. 2021;28(4):418–429.
   Web of Science ®Google Scholar
• Wang YQ, Ye C, Zu JW. Vibration analysis of circular cylindrical shells made of metal foams under various boundary conditions. Int J Mech Mater Des. 2019;15(2):333–344.
   Web of Science ®Google Scholar
• Wang YQ, Liu YF, Zu JW. On scale-dependent vibration of circular cylindrical nanoporous metal foam shells. Microsyst Technol. 2019;25(7):2661–2674.
   Web of Science ®Google Scholar
• Ebrahimi F, Seyfi A. Studying propagation of wave in metal foam cylindrical shells with graded porosities resting on variable elastic substrate. Eng Comput. 2020: 1–17.
   Web of Science ®Google Scholar
• Ebrahimi F, Seyfi A. Studying propagation of wave of metal foam rectangular plates with graded porosities resting on kerr substrate in thermal environment via analytical method. Waves Random Complex Media. 2020: 1–24.
   Web of Science ®Google Scholar
• Ebrahimi F, Seyfi A, Dabbagh A. Wave dispersion characteristics of agglomerated multi-scale hybrid nanocomposite beams. J. Strain Anal Eng Desn. 2019;54(4):276–289.
   Web of Science ®Google Scholar