Analysis of functionally graded porous curved beams with various boundary conditions
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: Composite Structure Analysis and Optimization · Structural Analysis and Optimization · Topology Optimization in Engineering
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (60)
Show source-provided references
1. Alhajahmad, A., Mittelstedt, C.: Ritz-Legendre approach for capturing the mode jumping phenomena in variable-stiffness composite fuselage panels. Compos. Struct.. Struct. 357, 118946 (2025)10.1016/j.compstruct.2025.118946 ↗
2. Amir, M., Kim, S.-W.: A study of the natural frequencies of the functionally graded curved beams including porosities: deterministic and stochastic modeling. Mech. Based des. Struct. Mach. 52(8), 5970–5987 (2024)10.1080/15397734.2023.2266828 ↗
3. Amir, M., Kim, S.-W., Choi, D.: Comparative static analysis of functionally graded porous curved beams: deterministic versus stochastic approaches. J. Strain Anal. Eng. des. 59(8), 559–574 (2024)10.1177/03093247241273794 ↗
4. Anirudh, B., Ganapathi, M., Anant, C., Polit, O.: A comprehensive analysis of porous graphene-reinforced curved beams by finite element approach using higher-order structural theory: bending, vibration and buckling. Compos. Struct. 222, 110899 (2019)10.1016/j.compstruct.2019.110899 ↗
5. Arshid, E., Amir, S.: Size-dependent vibration analysis of fluid-infiltrated porous curved microbeams integrated with reinforced functionally graded graphene platelets face sheets considering thickness stretching effect. Proc. Inst. Mech. Eng. Part l J. Mater. des. Appl. 235(5), 1077–1099 (2021)
6. Arshid, E., Arshid, H., Amir, S., Mousavi, S.B.: Free vibration and buckling analyses of FG porous sandwich curved microbeams in thermal environment under magnetic field based on modified couple stress theory. Arch. Civil Mech. Eng. 21, 1–23 (2021)10.1007/s43452-020-00150-x ↗
7. Babaei, H., Eslami, M.R.: Nonlinear analysis of thermal-mechanical coupling bending of clamped FG porous curved micro-tubes. J. Therm. Stresses 44(4), 409–432 (2020)10.1080/01495739.2020.1870417 ↗
8. Beg, M.S., Khalid, H.M., Yasin, M.Y., Hadji, L.: Exact third-order static and free vibration analyses of functionally graded porous curved beam. Steel Compos. Struct. Int. J. 39(1), 1–20 (2021)
9. Benaberrahmane, I., Mekerbi, M., Bouiadjra, R.B., Benyoucef, S., Selim, M.M., Tounsi, A., Hussain, M.: Analytical evaluation of frequencies of bidirectional FG thick beams in thermal environment and resting on different foundation. Struct. Eng. Mech. Int. J. 80(4), 365–375 (2021)
10. Chen, S., Zhang, Q., Liu, H.: Dynamic response of double-FG porous beam system subjected to moving load. Eng. Comput.. Comput. 38, 2309–2328 (2021)10.1007/s00366-021-01376-w ↗
11. Chen, D., Gao, K., Yang, J., Zhang, L.: Functionally graded porous structures: analyses, performances, and applications—a review. Thin-Walled Struct. 191, 111046 (2023)10.1016/j.tws.2023.111046 ↗
12. Dash, S., Dey, T., Haldar, A., Kumar, R.: A semi-analytical method for non-linear instability analysis of variable stiffness laminated composite beams under thermo-mechanical loading. Compos. Struct.. Struct. 357, 118966 (2025)10.1016/j.compstruct.2025.118966 ↗
13. Ebrahimi, F., Barati, M.R.: Vibration analysis of piezoelectrically actuated curved nanosize FG beams via a nonlocal strain-electric field gradient theory. Mech. Adv. Mater. Struct. 25(4), 350–359 (2018)10.1080/15376494.2016.1255830 ↗
14. Ebrahimi, F., Daman, M., Jafari, A.: Nonlocal strain gradient-based vibration analysis of embedded curved porous piezoelectric nano-beams in thermal environment. Smart Struct. Syst. 20(6), 709–728 (2017)
15. Fahsi, B., Bouiadjra, R.B., Mahmoudi, A., Benyoucef, S., Tounsi, A.: Assessing the effects of porosity on the bending, buckling, and vibrations of functionally graded beams resting on an elastic foundation by using a new refined quasi-3D theory. Mech. Compos. Mater. 55(2), 219–230 (2019)10.1007/s11029-019-09805-0 ↗
16. Haldar, A., Reinoso, J., Jansen, E., Rolfes, R.: Thermally induced multistable configurations of variable stiffness composite plates: semi-analytical and finite element investigation. Compos. Struct. 183, 161–175 (2018)10.1016/j.compstruct.2017.02.014 ↗
17. Haskul, M.: Elastic state of functionally graded curved beam on the plane stress state subject to thermal load. Mech. Based des. Struct. Mach. 48(6), 739–754 (2020)10.1080/15397734.2019.1660890 ↗
18. Karamanli, A., Wattanasakulpong, N., Lezgy-Nazargah, M., Vo, T.P.: Bending, buckling and free vibration behaviours of 2D functionally graded curved beams. Elsevier (2023)10.1016/j.istruc.2023.06.052 ↗
19. Karimi, M., Khoshgoftar, M.J., Karimi, M., Mirzaali, M.J., Javanbakht, Z.: An analytical model for the static behaviour of honeycomb sandwich plates with auxetic cores using higher-order shear deformation theories. Int. J. Mech. Mater. des. 19(4), 951–969 (2023)10.1007/s10999-023-09667-4 ↗
20. Kumar, Y.: The Rayleigh-Ritz method for linear dynamic, static and buckling behavior of beams, shells and plates: a literature review. J. Vib. Control 24(7), 1205–1227 (2018)10.1177/1077546317694724 ↗
21. Lezgy-Nazargah, M. A finite element model for static analysis of curved thin-walled beams based on the concept of equivalent layered composite cross-section. Mech. Adv. Mater. Struct. 29, 1020–1033 (2022).10.1080/15376494.2020.1804649 ↗
22. Lezgy-Nazargah, M., Trinh, L.C., Wattanasakulpong, N., Vo, T.P.: Finite element model for stability and vibration analyses of bi-directional FG curved sandwich beams. Int. J. Mech. Mater. des.. J. Mech. Mater. des. 20, 549–875 (2024)
23. Li, L., Tang, H., Hu, Y.: Size-dependent nonlinear vibration of beam-type porous materials with an initial geometrical curvature. Compos. Struct. 184, 1177–1188 (2018)10.1016/j.compstruct.2017.10.052 ↗
24. Li, S., R. Yang, S. Sun, and B. Niu, Advances in the analysis of honeycomb structures: a comprehensive review. Composites Part B: Engineering, 2025: p. 112208.10.1016/j.compositesb.2025.112208 ↗
25. Liu, T., Liang, W., Wang, Q., Qin, B., Guo, C., Wang, A.: Random vibration study of functionally graded porous curved beams with elastically restrained ends. Eng. Struct. 270, 114874 (2022)10.1016/j.engstruct.2022.114874 ↗
26. Nguyen, N.-D., Nguyen, T.-N., Trinh, L.C., Nguyen, T.-K.: A higher-order shear deformation theory and modified couple stress theory for size-dependent analysis of porous microbeams resting on the foundation. Int. J. Struct. Stab. Dyn.. J. Struct. Stab. Dyn. (2023). https://doi.org/10.1142/S021945542450182710.1142/S0219455424501827 ↗
27. Pandey, S., Pradyumna, S.: Thermal shock response of porous functionally graded sandwich curved beam using a new layerwise theory. Mech. Based des. Struct. Mach. 51(4), 2055–2079 (2023)10.1080/15397734.2021.1888297 ↗
28. Pham, Q.-H., Tran, V.K., Nguyen, P.-C.: Hygro-thermal vibration of bidirectional functionally graded porous curved beams on variable elastic foundation using generalized finite element method. Case Stud. Therm. Eng. 40, 102478 (2022)10.1016/j.csite.2022.102478 ↗
29. Pham, S.D., Karamanli, A., Wattanasakulpong, N., Vo, T.P.: A Quasi-3D theory for bending, vibration and buckling analysis of FG-CNTRC and GPLRC curved beams. Structures 63, 106431 (2024)10.1016/j.istruc.2024.106431 ↗
30. Polit, O., Pradyumna, B., Ganapathi, M.: Large amplitude free flexural vibrations of functionally graded graphene platelets reinforced porous composite curved beams using finite element based on trigonometric shear deformation theory. Int. J. Non-Linear Mech. 116, 302–317 (2019a)10.1016/j.ijnonlinmec.2019.07.010 ↗
31. Polit, O., Anant, C., Anirudh, B., Ganapathi, M.: Functionally graded graphene reinforced porous nanocomposite curved beams: Bending and elastic stability using a higher-order model with thickness stretch effect. Compos. B Eng. 166, 310–327 (2019b)10.1016/j.compositesb.2018.11.074 ↗
32. Prakash, A., Kumar, P., Saran, V.H., Harsha, S.P.: NURBS based thermoelastic behaviour of thin functionally graded sigmoidal (TFGS) porous plate resting on variable Winkler’s foundation. Int. J. Mech. Mater. des. 19(4), 831–860 (2023)10.1007/s10999-023-09654-9 ↗
33. Safaei, M., Malekzadeh, P., Haghighi, M.R.G.: Out-of-plane moving load response and vibrational behavior of sandwich curved beams with GPLRC face sheets and porous core. Compos. Struct. 327, 117658 (2024)10.1016/j.compstruct.2023.117658 ↗
34. Sahmani, S., Safaei, B., Rabczuk, T.: Nonlinear in-plane buckling of small-curved and large-curved FG porous microbeams via strain gradient-based isogeometric collocation formulations. Compos. Struct. 334, 117969 (2024a)10.1016/j.compstruct.2024.117969 ↗
35. Sahmani, S., Safaei, B., Rabczuk, T.: On the role of surface elasticity in nonlinear planar stability of FG porous reinforced nanosize curved beams having different degrees of curvature. Eur. J. Mech. a. Solids 107, 105384 (2024b)10.1016/j.euromechsol.2024.105384 ↗
36. Sayyad, A.S., Ghugal, Y.M.: A sinusoidal beam theory for functionally graded sandwich curved beams. Compos. Struct. 226, 111246 (2019)10.1016/j.compstruct.2019.111246 ↗
37. Sayyad, A.S., Avhad, P.V., Hadji, L.: On the static deformation and frequency analysis of functionally graded porous circular beams. Forces Mech. 7, 100093 (2022)10.1016/j.finmec.2022.100093 ↗
38. Sekkal, M., Bachir Bouiadjra, R., Benyoucef, S., Tounsi, A., Ghazwani, M.H., Alnujaie, A.: Investigation on static stability of bidirectional FG porous beams exposed to variable axial load. Acta Mech.. Mech. 234(3), 1239–1257 (2023)10.1007/s00707-022-03370-9 ↗
39. Serajzadeh, F., Malekzadeh, P.: Two-dimensional low-velocity impact analysis of curved sandwich beams with FG-CNTRC face sheets and porous core. Mech. Based des. Struct. Mach. 51(10), 5834–5855 (2023)10.1080/15397734.2021.2013879 ↗
40. Shahgholian, D., Safarpour, M., Rahimi, A.R., Alibeigloo, A.: Buckling analyses of functionally graded graphene-reinforced porous cylindrical shell using the Rayleigh-Ritz method. Acta Mech. 231, 1887–1902 (2020)10.1007/s00707-020-02616-8 ↗
41. Shahsavari, D., Karami, B., Tounsi, A.: Wave propagation in a porous functionally graded curved viscoelastic nano-size beam. Waves Random Complex Media (2023). https://doi.org/10.1080/17455030.2022.216437610.1080/17455030.2022.2164376 ↗
42. She, G.-L., Yuan, F.-G., Karami, B., Ren, Y.-R., Xiao, W.-S.: On nonlinear bending behavior of FG porous curved nanotubes. Int. J. Eng. Sci. 135, 58–74 (2019)10.1016/j.ijengsci.2018.11.005 ↗
43. She, G.-L., Liu, H.-B., Karami, B.: On resonance behavior of porous FG curved nanobeams. Steel Compos. Struct. 36(2), 179–186 (2020)
44. Şimşek, M.: Static analysis of a functionally graded beam under a uniformly distributed load by Ritz method. Int J Eng Appl Sci 1(3), 1–11 (2009)
45. Şimşek, M.: Fundamental frequency analysis of functionally graded beams by using different higher-order beam theories. Nucl. Eng. des. 240(4), 697–705 (2010)10.1016/j.nucengdes.2009.12.013 ↗
46. Smith, S.T., Bradford, M.A., Oehlers, D.J.: Numerical convergence of simple and orthogonal polynomials for the unilateral plate buckling problem using the Rayleigh-Ritz method. Int. J. Numer. Meth. Eng. 44(11), 1685–1707 (1999)10.1002/(SICI)1097-0207(19990420)44:11<1685::AID-NME562>3.0.CO;2-9 ↗
47. Sobhy, M.: Differential quadrature method for magneto-hygrothermal bending of functionally graded graphene/Al sandwich-curved beams with honeycomb core via a new higher-order theory. J. Sandwich Struct. Mater. 23(5), 1662–1700 (2021)10.1177/1099636219900668 ↗
48. Taleb, O., Sekkal, M., Bouiadjra, R.B., Benyoucef, S., Khedher, K.M., Salem, M.A., Tounsi, A.: On the free vibration behavior of temperature-dependent bidirectional functionally graded curved porous beams. Int. J. Struct. Stab. Dyn.. J. Struct. Stab. Dyn. (2024). https://doi.org/10.1142/S021945542450112810.1142/S0219455424501128 ↗
49. Thi, T.-H.N., Tran, V.K., Phung, V.-M., Trinh, V.H., Pham, Q.H.: Nonlocal isogeometric analysis for bidirectional functionally graded porous curved microbeams with arbitrary boundary conditions. Acta Mech. Sin. 40(8), 523257 (2024)10.1007/s10409-023-23257-x ↗
50. Vescovini, R., Dozio, L., d’Ottavio, M., Polit, O.: On the application of the Ritz method to free vibration and buckling analysis of highly anisotropic plates. Compos. Struct. 192, 460–474 (2018)10.1016/j.compstruct.2018.03.017 ↗
51. Wang, S., Ding, W., Li, Z., Xu, B., Zhai, C., Kang, W., Yang, W., Li, Y.: A size-dependent quasi-3D model for bending and buckling of porous functionally graded curved nanobeam. Int. J. Eng. Sci. 193, 103962 (2023)10.1016/j.ijengsci.2023.103962 ↗
52. Wang, Q., Liu, T., Zhong, R.: Free and forced vibrations of functionally graded porous straight and curved beams. In: Machine learning aided analysis design and additive manufacturing of functionally graded porous composite structures, pp. 19–50. Elsevier (2024)10.1016/B978-0-443-15425-6.00011-0 ↗
53. Xu, X., Karami, B., Shahsavari, D.: Time-dependent behavior of porous curved nanobeam. Int. J. Eng. Sci. 160, 103455 (2021)10.1016/j.ijengsci.2021.103455 ↗
54. Yahiaoui, M., Tounsi, A., Fahsi, B., Bouiadjra, R.B., Benyoucef, S.: The role of micromechanical models in the mechanical response of elastic foundation FG sandwich thick beams. Struct. Eng. Mech. Int. J. 68(1), 53–66 (2018)
55. Yang, X., Liu, H., Ma, J.: Thermo-mechanical vibration of FG curved nanobeam containing porosities and reinforced by graphene platelets. Microsyst. Technol. 26, 2535–2551 (2020)10.1007/s00542-020-04794-w ↗
56. Yu, C., Lu, J., Li, S., Xu, W., Chiu, C.: Dynamics sensitivity analyses of functionally graded porous (FGP) curved beams with variable curvatures and general boundary conditions. Int. J. Struct. Stab. Dyn. 21(11), 2150151 (2021)10.1142/S0219455421501510 ↗
57. Zenkour, A.M., Radwan, A.F.: A nonlocal strain gradient theory for porous functionally graded curved nanobeams under different boundary conditions. Физичecкaя Мeзoмexaникa 23(3), 77–92 (2020)
58. Zenkour, A.M., Radwan, A.F.: A compressive study for porous FG curved nanobeam under various boundary conditions via a nonlocal strain gradient theory. Eur. Phys. J. plus 136(2), 248 (2021)10.1140/epjp/s13360-021-01238-w ↗
59. Zhang, P., Qing, H., Gao, C.-F.: Exact solutions for bending of Timoshenko curved nanobeams made of functionally graded materials based on stress-driven nonlocal integral model. Compos. Struct. 245, 112362 (2020)10.1016/j.compstruct.2020.112362 ↗
60. Zhao, J., Wang, Q., Deng, X., Choe, K., Xie, F., Shuai, C.: A modified series solution for free vibration analyses of moderately thick functionally graded porous (FGP) deep curved and straight beams. Compos. B Eng. 165, 155–166 (2019)10.1016/j.compositesb.2018.11.080 ↗