A unified five-degree-of-freedom theory for the bending analysis of softcore and hardcore functionally graded sandwich beams and plates
Source abstract
Abstract
A unified five-degree-of-freedom shear deformation theory is developed for the bending analysis of softcore and hardcore functionally graded sandwich beams and plates. The theory is developed with the inclusion of various shape functions to account for the effect of transverse shear deformation. The governing equations are derived from the principle of virtual work. Sandwich beams and plates have functionally graded skins and two types of homogenous core (softcore and hardcore). The material properties of functionally graded skins are graded through the thickness according to the power-law distribution. Closed-form solutions are obtained for the simply-supported functionally graded sandwich beams and plates using Navier’s solution technique. The non-dimensional numerical values of displacements and stresses are obtained for uniformly distributed loads and various values of the power law index and skin-core-skin thickness ratios. Effects of softcore and hardcore on the non-dimensional displacements and stresses are carefully discussed. It is concluded that the variations in the numerical values of transverse deflection and through-the-thickness distributions of stresses are opposite in nature for softcore and hardcore sandwich beams and plates due to change in material properties.
Source: crossref · Quality: baseline
Research context
OpenAlex topics: Composite Structure Analysis and Optimization · Structural Load-Bearing Analysis · Vibration and Dynamic Analysis
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Department of Civil Engineering, SRES’s Sanjivani College of Engineering, Savitribai Phule Pune University, Kopargaon, Maharashtra, India
Department of Applied Mechanics, Government College of Engineering, Karad, Maharashtra, India
References (43)
Show source-provided references
1. 10.1016/j.compstruct.2015.04.00710.1016/j.compstruct.2015.04.007 ↗
2. 10.1016/j.compstruct.2017.03.05310.1016/j.compstruct.2017.03.053 ↗
3. 10.1515/crll.1850.40.5110.1515/crll.1850.40.51 ↗
4. 10.1115/1.401021710.1115/1.4010217 ↗
5. 10.1115/1.316771910.1115/1.3167719 ↗
6. 10.1177/109963621349888810.1177/1099636213498888 ↗
7. 10.1007/s10483-011-1470-910.1007/s10483-011-1470-9 ↗
8. 10.1177/109963621454861810.1177/1099636214548618 ↗
9. 10.1016/j.ijmecsci.2016.10.01510.1016/j.ijmecsci.2016.10.015 ↗
10. Meksi R, Benyoucef S, Mahmoudi A, et al. An analytical solution for bending, buckling and vibration responses of FGM sandwich plates. J Sandwich Struct Mater 2019; 21(2): 727–757. DOI:10.1177/109963621769844310.1177/1099636217698443 ↗
11. 10.1177/109963621349888610.1177/1099636213498886 ↗
12. 10.1016/j.finel.2012.03.00610.1016/j.finel.2012.03.006 ↗
13. 10.1016/j.ijsolstr.2005.02.01510.1016/j.ijsolstr.2005.02.015 ↗
14. 10.1016/j.ijsolstr.2005.02.01610.1016/j.ijsolstr.2005.02.016 ↗
15. 10.1016/j.compstruct.2018.05.14710.1016/j.compstruct.2018.05.147 ↗
16. 10.1016/j.euromechsol.2013.12.00810.1016/j.euromechsol.2013.12.008 ↗
17. 10.1016/j.tws.2015.01.01510.1016/j.tws.2015.01.015 ↗
18. 10.1016/j.compstruct.2015.11.06610.1016/j.compstruct.2015.11.066 ↗
19. 10.1016/j.compstruct.2017.06.04810.1016/j.compstruct.2017.06.048 ↗
20. 10.1016/j.advengsoft.2012.05.00510.1016/j.advengsoft.2012.05.005 ↗
21. 10.1016/j.euromechsol.2015.06.01110.1016/j.euromechsol.2015.06.011 ↗
22. 10.1016/j.compositesb.2012.01.08910.1016/j.compositesb.2012.01.089 ↗
23. 10.1016/j.compositesb.2014.05.01210.1016/j.compositesb.2014.05.012 ↗
24. 10.1016/j.compositesb.2016.04.03510.1016/j.compositesb.2016.04.035 ↗
25. 10.12989/scs.2015.18.1.09110.12989/scs.2015.18.1.091 ↗
26. 10.1007/s00419-010-0497-510.1007/s00419-010-0497-5 ↗
27. 10.1177/109963621558923710.1177/1099636215589237 ↗
28. 10.1016/j.compositesb.2017.04.01610.1016/j.compositesb.2017.04.016 ↗
29. Osofero AI · J Eng Res · 2014 · 19 · 1
30. 10.1177/109963621558221710.1177/1099636215582217 ↗
31. 10.1007/s00707-009-0252-610.1007/s00707-009-0252-6 ↗
32. 10.1016/j.compositesb.2014.08.03010.1016/j.compositesb.2014.08.030 ↗
33. 10.1016/j.compstruct.2014.08.00610.1016/j.compstruct.2014.08.006 ↗
34. 10.1016/j.compstruct.2016.01.01510.1016/j.compstruct.2016.01.015 ↗
35. 10.1142/S175882511750007710.1142/S1758825117500077 ↗
36. Sayyad AS, Ghugal YM. Modeling and analysis of functionally graded sandwich beams: a review. Mech Adv Mater Struct 2018 (In Press). DOI:10.1080/15376494.2018.144717810.1080/15376494.2018.1447178 ↗
37. Mansourinik M, Taheri-Behrooz F. The effect of interface debonding on flexural behaviour of composite sandwich beams. J Sandw Struct Mater 2018 (In Press). DOI: 10.1177/1099636218781981.10.1177/1099636218781981 ↗
38. 10.1155/2016/237386210.1155/2016/2373862 ↗
39. 10.3390/app702013110.3390/app7020131 ↗
40. 10.1016/j.cma.2009.04.01110.1016/j.cma.2009.04.011 ↗
41. 10.1016/j.euromechsol.2009.04.00510.1016/j.euromechsol.2009.04.005 ↗
42. 10.1016/j.mechrescom.2009.02.00110.1016/j.mechrescom.2009.02.001 ↗
43. 10.1007/s11012-008-9167-x10.1007/s11012-008-9167-x ↗