Approximated transverse deflection of sandwich beam with 2D-FG and ceramic face sheets and 1D-FG core


  • Lan Hoang That Ton University of Architecture HCMC


Sandwich beam, 2D-FG face sheet, Ceramic face sheet, 1D-FG core, Transverse deflection


The approximated numerical deflection of a sandwich beam with two directional functionally graded (2D-FG) and ceramic face sheets and one directional functionally graded (1D-FG) core, namely SW2D1DC, is presented under uniform load and various boundary conditions. The finite element code written in Matlab is applied in this article to investigate the influences of material properties on transverse deflections. The results of this article are given and compared with other results in the references to verify the feasibility of the application. This study also provides some more information about the characteristics of SW2D1DC beams.


Download data is not yet available.


D. D. Singh, et al., “Functionally graded materials manufactured by direct energy deposition: A review”, Materials Today: Proceedings, vol. 47, pp. 2450-2456, 2021.

A. Pasha and B. M. Rajaprakash, “Fabrication and mechanical properties of functionally graded materials: A review”, Materials Today: Proceedings, vol. 52, pp. 379-387, 2022.

E. J. Kim, et al., “Study on the characteristics of functionally graded materials from Ni-20cr to Ti-6Al-4V via directed energy deposition”, Journal of Alloys and Compounds, vol. 955, p. 170263, 2023.

D. Khrapov, et al., “Geometrical features and mechanical properties of the sheet-based gyroid scaffolds with functionally graded porosity manufactured by electron beam melting”, Materials Today Communications, vol. 35, p. 106410, 2023.

Y. Xiong, et al., “Effects of porosity gradient pattern on mechanical performance of additive manufactured Ti-6Al-4V functionally graded porous structure”, Materials & Design, vol. 208, p. 109911, 2021.

E. Ruocco and J.N. Reddy, “Analytical solutions of Reddy, Timoshenko and Bernoulli beam models: A comparative analysis”, European Journal of Mechanics - A/Solids, vol. 99, p. 104953, 2023.

H. Qin, et al., “Modified Timoshenko beam model for bending behaviors of layered materials and structures”, Extreme Mechanics Letters, vol. 39, p. 100799, 2020.

Y. Kaya and J. Dowling, “Application of Timoshenko beam theory to the estimation of structural response”, Engineering Structures, vol. 123, pp. 71-76, 2016.

B. Srikarun, et al., “Linear and nonlinear static bending of sandwich beams with functionally graded porous core under different distributed loads”, Composite Structures, vol. 276, p. 114538, 2021.

K. Magnucki and E. M. Blandzi, “A refined shear deformation theory of an asymmetric sandwich beam with porous core: Linear bending problem”, Applied Mathematical Modelling, vol. 124, pp. 624-638, 2023.

M. B?ˆrsan, et al., “Mechanical behavior of sandwich composite beams made of foams and functionally graded materials”, International Journal of Solids and Structures, vol. 50, pp. 519-530, 2013.

S. Mesmoudi, et al., “Highly efficient mesh-free approach to simulate the non-linear bending analysis of FG porous beams and sandwich beams with FG face sheets”, Thin-Walled Structures, vol. 185, p. 110614, 2023.

M. Safaei, et al., “Out-of-plane moving load response and vibrational behavior of sandwich curved beams with GPLRC face sheets and porous core”, Composite Structures, vol. 327, p. 117658, 2024.

M. O. Belarbi, et al., “On the finite element analysis of functionally graded sandwich curved beams via a new refined higher order shear deformation theory”, Composite Structures, vol. 279, p. 114715, 2022.

A. Karamanl?, “Bending behaviour of two directional functionally graded sandwich beams by using a quasi-3d shear deformation theory”, Composite Structures, vol. 174, pp. 70-86, 2017.

H. Wang, et al., “Three-point bending response and energy absorption of novel sandwich beams with combined re-entrant double-arrow auxetic honeycomb cores”, Composite Structures, vol. 326, p. 117606, 2023.

H. Lu, et al., “Quasi-static bending response and energy absorption of a novel sandwich beam with a reinforced auxetic core under the fixed boundary at both ends”, Thin-Walled Structures, vol. 191, p. 111011, 2023.

C. D. Chen and B. F. Huang, “A novel higher-order refined zigzag theory for static bending analysis in sandwich composite beam”, Applied Mathematical Modelling, vol. 119, pp. 586-604, 2023.

F. Hazwani and M. Todo, “Deformation mechanism of porous composite sandwich beam for orthopaedical application under three-point bending”, Composite Structures, vol. 281, p. 114983, 2022.

A. Garg, et al., “Bending and free vibration analysis of symmetric and unsymmetric functionally graded CNT reinforced sandwich beams containing softcore”, Thin-Walled Structures, vol. 170, p. 108626, 2022.

Z. Li, et al., “Bending behavior of sandwich beam with tailored hierarchical honeycomb cores”, Thin-Walled Structures, vol. 157, p. 107001, 2020.

M. Iftimiciuc, et al., “Bending performance of a sandwich beam with sheet metal pyramidal core”, Materials Today Communications, vol. 31, p. 103490, 2022.

G. D. Xu, et al., “Bending behavior of graded corrugated truss core composite sandwich beams”, Composite Structures, vol. 138, pp. 342-351, 2016.

L. Bernard, et al., “Static and dynamic analysis of bending–torsion coupling of a CFRP sandwich beam”, Composite Structures, vol. 145, pp. 26-36, 2016.

K. Mohan, et al., “Failure of sandwich beams consisting of alumina face sheet and aluminum foam core in bending”, Materials Science and Engineering: A, vol. 409, pp. 292-301, 2005.

cover article 940-946




How to Cite

L. Hoang That Ton, “Approximated transverse deflection of sandwich beam with 2D-FG and ceramic face sheets and 1D-FG core”, International Journal of Engineering and Applied Physics, vol. 4, no. 1, pp. 940–946, Feb. 2024.