Investigation of hygrothermal environment effects on the static bending response of nanobeams

7 views

Authors

  • Dao Van Vuong (Corresponding Author) Faculty of Mechanical Engineering, Le Quy Don Technical University
  • Vu Hoa Binh School of Mechanical and Automotive Engineering, Hanoi University of Industry
  • Do Trang Manh Cuong Faculty of Mechanical Engineering, Le Quy Don Technical University
  • Pham Van Tu Institute of Propellant and Explosives

DOI:

https://doi.org/10.54939/1859-1043.j.mst.FMC.2026.90-97

Keywords:

Static bending; Nanobeams; Nonlocal elasticity; Porous; Hygrothermal environments.

Abstract

Nano beams are widely utilized as fundamental structural components in microscale and nanoscale sensors, while also serving as critical elements in missile guidance and flight-control systems. This study presents an analytical solution for the static bending behavior of multilayer nanobeams accounting for the combined effects of hygrothermal environments and flexoelectricity. The considered nanobeam is composed of three material layers, in which the core layer is made of a porous material with microporosity. The theoretical formulation is established based on a novel third-order shear deformation theory, and the small-scale effect is incorporated through nonlocal elasticity theory. Several benchmark examples are provided to verify the accuracy and reliability of the proposed model. Thereafter, extensive numerical investigations are performed to elucidate the effects of key parameters on the bending behavior of multilayer nanobeams, with special attention devoted to hygrothermal environmental conditions. The results offer valuable insights for the optimal design and fabrication of multilayer nanobeam structures and contribute to improving their operational performance in practical engineering applications.

References

[1]. B.V. Tuyển, N.Đ. Kiên, “Dao động của dầm có cơ tính biến thiên trong môi trường nhiệt độ cao dưới tác dụng của lực điều hòa di động”, Khoa học kỹ thuật thủy lợi và môi trường, Vol. 55, tr. 110-116, (2016) (in Vietnamese).

[2]. D.V. Doan, D.V. Thom, D.V. Vuong, “Analytical solution to investigate the vibrational response of a sandwich nanobeam”, J. of vibration engineering & technologies, Vol. 14, No. 3, pp. 1-15, (2026). DOI: https://doi.org/10.1007/s42417-026-02336-8

[3]. D.V. Doan, P.V. Hoan, D.V. Thom, N.H. Phan, “Vibration behavior of nanobeams under the combined impact of temperature and flexomagnetic phenomena”, J. of thermal stresses, Vol. 2025, pp. 1-28, (2026).

[4]. D.V. Vuong, D.V. Thom, D.T. Luat, L.P. Binh, “Buckling analysis of sandwich nanobeams in thermal environment”, International J. of protective structures, Vol. 2026, 20414196261434987, (2026). DOI: https://doi.org/10.1177/20414196261434987

[5]. PV. Minh, L.M. Thai, N.T. Dung, A. Tounsi, N.T.C. Nhung, D.V. Thom, “An overview of the flexoelectric phenomenon, potential applications, and proposals for further research directions”, International J. of Mechanics and Materials in Design, Vol. 14, No. 4, pp. 903-925, (2023). DOI: https://doi.org/10.1007/s10999-023-09678-1

[6]. LT. Son, “Forced vibration analysis of sandwich plates with an auxetic honeycomb core and laminated composite three-phase skin layers resting on Kerr foundation,” Journal of Military Science and Technology, Vol. 103, pp. 110 – 120, (2025). DOI: https://doi.org/10.54939/1859-1043.j.mst.103.2025.110-120

[7]. S.C. Pradhan, “Nonlocal finite element analysis and small scale effects of CNTs with Timoshenko beam theory”, Finite Elements in Analysis and Design, Vol. 50, pp. 8–20, (2012). DOI: https://doi.org/10.1016/j.finel.2011.08.008

[8]. W. Yang, X. Liang, S. Shen, “Electromechanical responses of piezoelectric nanoplates with flexoelectricity”, Acta Mechanica, Vol. 226, pp. 3097–3110, (2015). DOI: https://doi.org/10.1007/s00707-015-1373-8

Downloads

Published

16-09-2026

How to Cite

[1]
Dao Van Vuong, Vu Hoa Binh, Do Trang Manh Cuong, and Pham Van Tu, “Investigation of hygrothermal environment effects on the static bending response of nanobeams”, J. Mil. Sci. Technol., no. FMC, pp. 90–97, Sep. 2026.

Issue

Section

Mechanics & Mechanical Engineering