FORMULATION OF GEOMETRICALLY NON-LINEAR PROBLEMS IN THE SPATIAL REFERENCE FRAME

✍ Scribed by ANDRÉ T. NOËL; BARNA A. SZABÓ

• Publisher: John Wiley and Sons
• Year: 1997
• Tongue: English
• Weight: 187 KB
• Volume: 40
• Category: Article
• ISSN: 0029-5981
• DOI: 10.1002/(sici)1097-0207(19970415)40:7<1263::aid-nme113>3.0.co;2-3

✦ Synopsis

This paper presents a new formulation for geometrically non-linear problems and their numerical treatment by the p-version of the ÿnite element method. The formulation is characterized by a weak form based on the spatial representation of the equilibrium equations, a deformed geometry mapped by the displacement ÿeld, a natural description for non-conservative loads that keeps the symmetry of the equations, and a direct (non-incremental) iterative algorithm to solve the equations. The paper is concerned only with problems for which the solution is unique, i.e. the load-displacement curves are single-valued, and the strains are small. Examples are presented.