Symplectic Method-Based Analytical Solutions of Thermal Buckling for Shear Deformable Circular Functionally Graded Plates

DOI10.1142/s0219455424500214OpenAlexW4366976366MaRDI QIDQ6119065

Unnamed Author, Chenxi Cao, Jinghua Zhang

Publication date: 29 February 2024

Published in: International Journal of Structural Stability and Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219455424500214

zbMATH Keywords

functionally graded materialsexact analytical solutionsthermal bucklingsymplectic methodshear deformation theory

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Vibration and deflection analysis of thin cracked and submerged orthotropic plate under thermal environment using strain gradient theory
• Nonlinear transient thermoelastic analysis of functionally graded ceramic-metal plates
• Axisymmetric bending of functionally graded circular and annular plates
• Hamiltonian algorithms for Hamiltonian systems and a comparative numerical study
• Nonlinear bending and post-buckling of a functionally graded circular plate under mechanical and thermal loadings.
• Buckling analysis of functionally graded thin plate with in-plane material inhomogeneity
• Series of Bessel and Kummer-type functions
• Duality system in applied mechanics and optimal control.
• Buckling analysis of functionally graded plates subjected to combined in-plane loads
• New analytic thermal buckling solutions of non-Lévy-type functionally graded rectangular plates by the symplectic superposition method
• New analytic buckling solutions of non-Lévy-type cylindrical panels within the symplectic framework
• New analytic buckling solutions of rectangular thin plates with two free adjacent edges by the symplectic superposition method
• Imperfection sensitivity of the post-buckling behavior of higher-order shear deformable functionally graded plates
• The special functions and their approximations. Vol. I, II
• A SYMPLECTIC HAMILTONIAN APPROACH FOR THERMAL BUCKLING OF CYLINDRICAL SHELLS
• TORSIONAL BUCKLING OF FUNCTIONALLY GRADED CYLINDRICAL SHELLS WITH TEMPERATURE-DEPENDENT PROPERTIES
• Buckling of circular plates with functional grading in two directions

This page was built for publication: Symplectic Method-Based Analytical Solutions of Thermal Buckling for Shear Deformable Circular Functionally Graded Plates