Method of fundamental solutions and a high order continuation for bifurcation analysis within Föppl-von Karman plate theory

DOI10.1016/j.enganabound.2020.08.005zbMath1464.74384OpenAlexW3087438314MaRDI QIDQ2209379

Said Mesmoudi, Omar Askour, Michel Potier-Ferry, Bouazza Braikat, Abdeljalil Tri, Hamid Zahrouni

Publication date: 31 October 2020

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2020.08.005

zbMATH Keywords

bifurcationbucklingmethod of fundamental solutions (MFS)Föppl-von Karmanhigh order continuation (HOC)

Mathematics Subject Classification ID

Plates (74K20) Dynamical bifurcation of solutions to dynamical problems in solid mechanics (74H60) Numerical and other methods in solid mechanics (74S99) Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs (65N80)

Related Items (5)

Partitioned path-following strategy for nonlinear structural analyses using the boundary element method ⋮ A high-order continuation for bifurcation analysis of functionally graded material sandwich plates ⋮ Spectral Chebyshev method coupled with a high order continuation for nonlinear bending and buckling analysis of functionally graded sandwich beams ⋮ The method of fundamental solutions for two-dimensional elasticity problems based on the Airy stress function ⋮ A new approach to solve the anti-plane crack problems by the method of fundamental solutions

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