The use of a particle method for the modelling of isotropic membrane stress for the form finding of shell structures. (April 2015)

• Record Type: Journal Article
• Authors: Aish, Francis; Joyce, Sam; Malek, Samar; Williams, Chris J.K.
• Is Part Of: Computer aided design. Volume 61(2015)
• Page Start: 24
• Page End: 31
• Publication Date: 2015-04
• Subjects: Masonry shell -- Isotropic stress -- Minimal surface -- Particle methods; Computer-aided design -- Periodicals; Engineering design -- Data processing -- Periodicals; Computer graphics -- Periodicals; Conception technique -- Informatique -- Périodiques; Infographie -- Périodiques; Computer graphics; Engineering design -- Data processing; Periodicals; Electronic journals; 620.00420285
• DOI: 10.1016/j.cad.2014.01.014
• Languages: English
• ISSNs: 0010-4485

Abstract

Abstract: The best known isotropic membrane stress state is a soap film. However, if we allow the value of the isotropic stress to vary from point to point then the surface can carry gravity loads, either as a hanging form in tension, or as a masonry shell in compression. The paper describes the theory of isotropic membrane stress under gravity load and introduces a particle method for its numerical simulation for the form finding of shell structures. Highlights: Derivation of equilibrium equations for loaded shell structures with a varying isotropic stress. The application of the finite element method for the numerical implementation. The introduction of a new particle method for the numerical implementation.