The exact solution of annular sandwich plate undercoated with radial-FGM subjected to radial pressure or transverse load

• Published in: Mechanics of advanced materials and structures Vol. 31; no. 20; pp. 5090 - 5105
• Main Authors: Chung, Yen-Ling, Lin, Zheng-Yu
• Format: Journal Article
• Language: English
• Published: Abingdon Taylor & Francis 17.10.2024; Taylor & Francis Ltd
• Subjects: Annular plates; annular sandwich plate; Elastic analysis; Elastic plates; exact bending-solution; Exact solutions; Exact stretching-solution; finite element solution; Mathematical analysis; Mechanical properties; Modulus of elasticity; Plate theory; radial FGM; Simultaneous equations; Stretching; theoretical analysis; Transverse loads
• ISSN: 1537-6494; 1537-6532
• DOI: 10.1080/15376494.2023.2211815

This study aims to derive the exact stretching and bending solutions of the radially FGM annular sandwich plate subjected to either radial pressure or transverse load. The radially FGM annular sandwich plate consists of two homogeneous rings and an FGM-undercoated layer with uniform Poisson's ratio and radially graded Young's modulus based on the power function. Although the radially FGM annular sandwich plate is nonhomogeneous, the stretching and bending problems can be analyzed separately based on the elastic plate theory. Then the exact solution corresponding to the power-law graded FGM can be evaluated by solving the simultaneous equations of the boundary and continuous conditions. The theoretical results are validated through the comparison with the finite element solutions. When degenerated, our results coincide with those of the homogeneous annular plate in the literature, making the obtained solutions reliable. Using the radial-FGM as the undercoated layer makes the strains and stresses smoothly continuous at the interfaces of the layers. The effects of the material index on mechanical behavior are under investigation.