Abstract.
The dynamic characteristics of functionally graded (FG) metal foam cylindrical micro-scale shells in contact with a moving load will be analyzed thorough this paper accounting for strain-gradient size-dependency. In the material structure of a metal foam, pores can diffuse uniformly or non-uniformly. Based upon Laplace transform, the dynamical governing equations of the first-order micro-shell model can be established in a new domain. In order to go back into the time domain, an inverse Laplace transform will be required. Thus, on can express the time response or dynamic deflection of the micro-shell under moving load. In the presented results, it is easy to see the prominence of strain-gradient size-dependency, load velocity and pore dispersions in the dynamic behavior of metal foam micro-shells.
Similar content being viewed by others
References
D.C. Lam, F. Yang, A.C.M. Chong, J. Wang, P. Tong, J. Mech. Phys. Solids 51, 1477 (2003)
F. Ebrahimi, M.R. Barati, A. Dabbagh, Int. J. Eng. Sci. 107, 169 (2016)
H. Zeighampour, Y.T. Beni, Int. J. Eng. Sci. 78, 27 (2014)
B. Akgöz, Ö. Civalek, Acta Mech. 226, 2277 (2015)
M.R. Nami, M. Janghorban, Compos. Struct. 111, 349 (2014)
B. Akgöz, Ö. Civalek, Compos. Struct. 134, 294 (2015)
B. Akgöz, Ö. Civalek, Int. J. Mech. Sci. 81, 88 (2014)
M. Arefi, A.M. Zenkour, Mater. Res. Express 3, 115704 (2016)
R. Ansari, R. Gholami, M.F. Shojaei, V. Mohammadi, S. Sahmani, Eur. J. Mech.-A/Solids 49, 251 (2015)
L. Li, Y. Hu, L. Ling, Compos. Struct. 133, 1079 (2015)
Bounouara et al., Steel Compos. Struct. 20, 227 (2016)
Besseghier et al., Smart Struct. Syst. Int. J. 19, 601 (2017)
Mouffoki et al., Smart Struct. Syst. 20, 369 (2017)
Youcef et al., Smart Struct. Syst. 21, 65 (2018)
Larbi Chaht et al., Steel Compos. Struct. 18, 425 (2015)
G. Mart\'inez-Criado, Application of micro- and nano-beams for materials science, in Synchrotron Light Sources and Free-Electron Lasers: Accelerator Physics, Instrumentation and Science Applications, edited by E. Jaeschke, S. Khan, J. Schneider, J. Hastings (Springer, Cham, 2016) pp. 1505--1539
B. Zhang, Y. He, D. Liu, L. Shen, J. Lei, Compos. Struct. 119, 578 (2015)
R. Gholami, A. Darvizeh, R. Ansari, F. Sadeghi, Eur. J. Mech.-A/Solids 58, 76 (2016)
J. Lou, L. He, H. Wu, J. Du, Compos. Struct. 142, 226 (2016)
K. Mohammadi, M. Mahinzare, K. Ghorbani, M. Ghadiri, Microsyst. Technol. 24, 1133 (2018)
H. Zeighampour, M. Shojaeian, J. Sandw. Struct. Mater. 21, 917 (2019)
H. Farokhi, M.H. Ghayesh, Int. J. Eng. Sci. 127, 127 (2018)
Bellifa et al., Steel Compos. Struct. 25, 257 (2017)
Bousahla et al., Struct. Eng. Mech. 60, 313 (2016)
Attia et al., Struct. Eng. Mech. 65, 453 (2018)
Beldjelili et al., Smart Struct. Syst. 18, 755 (2016)
Abdelaziz et al., Steel Compos. Struct. 25, 693 (2017)
Menasria et al., Steel Compos. Struct. 25, 157 (2017)
G.L. She, F.G. Yuan, Y.R. Ren, H.B. Liu, W.S. Xiao, Compos. Struct. 203, 614 (2018)
F. Ebrahimi, M. Mokhtari, J. Braz. Soc. Mech. Sci. Eng. 37, 1435 (2015)
Ait Yahia et al., Struct. Eng. Mech. 53, 1143 (2015)
M.R. Barati, A.M. Zenkour, Compos. Struct. 182, 91 (2017)
M. Ghadiri, H. SafarPour, J. Therm. Stresses 40, 55 (2017)
N. Shafiei, A. Mousavi, M. Ghadiri, Int. J. Eng. Sci. 106, 42 (2016)
H.A. Atmane, A. Tounsi, F. Bernard, S.R. Mahmoud, Steel Compos. Struct. 19, 369 (2015)
M.R. Barati, Acta Mech. 229, 1183 (2018)
M. Simşek, Int. J. Eng. Sci. 48, 1721 (2010)
M. Simşek, M. Aydin, H.H. Yurtcu, J.N. Reddy, Acta Mech. 226, 3807 (2015)
M.R. Barati, N.M. Faleh, A.M. Zenkour, Mech. Adv. Mater. Struct., https://doi.org/10.1080/15376494.2018.1444234 (2018)
A.E. Abouelregal, A.M. Zenkour, Microsyst. Technol. 23, 5911 (2017)
H.B. Khaniki, S. Hosseini-Hashemi, Eur. Phys. J. Plus 132, 200 (2017)
M.R. Barati, Mater. Res. Express 4, 115017 (2017)
D. Shahsavari, B. Karami, M. Janghorban, L. Li, Mater. Res. Express 4, 085013 (2017)
D. Shahsavari, M. Janghorban, J. Braz. Soc. Mech. Sci. Eng. 39, 3849 (2017)
Karami et al., Thin-Walled Struct. 129, 251 (2018)
Karami et al., Steel Compos. Struct. 27, 201 (2018)
Karami et al., Steel Compos. Struct. 25, 361 (2017)
Zine et al., Steel Compos. Struct. 26, 125 (2018)
J. Yu, S.H. Dong, G.H. Sun, Phys. Lett. A 322, 290 (2004)
S.H. Dong, M. Lozada-Cassou, Phys. Lett. A 337, 313 (2005)
J. Yu, S.H. Dong, Phys. Lett. A 325, 194 (2004)
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher's Note
The EPJ Publishers remain neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Sajad Mirjavadi, S., Forsat, M., Barati, M.R. et al. Dynamic response of metal foam FG porous cylindrical micro-shells due to moving loads with strain gradient size-dependency. Eur. Phys. J. Plus 134, 214 (2019). https://doi.org/10.1140/epjp/i2019-12540-3
Received:
Accepted:
Published:
DOI: https://doi.org/10.1140/epjp/i2019-12540-3