Application of Mathematica to the Rayleigh–Ritz method for plane elasticity problems

• Main Author: Ioakimidis, Nikolaos
• Other Authors: Ιωακειμίδης, Νικόλαος
• Format: Technical Report
• Language: English
• Published: 2018
• Subjects: Rayleigh–Ritz method; Plane elasticity; Isotropic elasticity; Biharmonic equation; Airy stress function; Symbolic computations; Numerical computations; Approximate solutions; Computer algebra; Mathematica; Μέθοδος των Rayleigh–Ritz; Επίπεδη ελαστικότητα; Ισότροπη ελαστικότητα; Διαρμονική εξίσωση; Τασική συνάρτηση του Airy; Συμβολικοί υπολογισμοί; Αριθμητικοί υπολογισμοί; Προσεγγιστικές λύσεις; Υπολογιστική άλγεβρα

The classical Rayleigh–Ritz method for plane isotropic elasticity problems governed by the well-known biharmonic equation (satisfied by the Airy stress function) is revisited. The modern and powerful computer algebra system Mathematica was employed for the symbolic/numerical approximate solution of...