Finite Element Analysis of Multiscale FGM Plate Using Modified Third Order Shear Deformation Theory

Authors

• Ravi Kumar, Department of Civil Engineering, Bonam Venkata Chalamayya Engineering College (Autonomous), Odalarevu, Allavaram Mandal, East Godavari District, Andhra Pradesh, India - 533210Follow
• Ajay Kumar, Department of Civil Engineering, National Institute of Technology Delhi, Delhi, India-110036

ORCID

Ravi kumar : 0000-0002-4260-1459; Ajay Kumar: 0000-0003-0083-9052.

Subject Area

Civil and Environmental Engineering

Article Type

Special Issue Original Study

Abstract

Present paper aimed to examine the static and dynamic response of a carbon nanotube (CNT) infused multiscale functionally graded (FGM) rectangular plate structure. A third-order shear deformation theory (TSDT) based on Reddy’s formulation with enforcing negligible transverse shear stresses at the outermost surface of the plate, is used. A nine-noded isoparametric element with 13 displacement variables per node is numerically investigated for finite element analysis. Using the Halpin-Tsai and homogeneous equation the elastic behaviour of the final material is obtained. The current result is first checked against a previously published result to validate the present mathematical model. The finite element based numerical results for the static and dynamic response analysis for the rectangular multiscale FGM plate are shown after verifying the formulation.

Keywords

Refined TSDT model, 9-noded plate element, Multiscale FGM plate, flexural analysis, dynamic analysis

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 License.

Recommended Citation

Kumar, Ravi and Kumar, Ajay (2026) "Finite Element Analysis of Multiscale FGM Plate Using Modified Third Order Shear Deformation Theory," Mansoura Engineering Journal: Vol. 51 : Iss. 4 , Article 23.
Available at: https://doi.org/10.58491/2735-4202.3512