Coupled boundary and finite element analysis of a special class of two-dimensional problems of the theory of elasticity

✍ Scribed by Yarema Savula; Herbert Mang; Ivan Dyyak; Natalia Pauk

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 251 KB
• Volume: 75
• Category: Article
• ISSN: 0045-7949
• DOI: 10.1016/s0045-7949(99)00091-7

✦ Synopsis

For special problems of the theory of elasticity, coupled boundary and ®nite element analysis may be a useful alternative to either ®nite element or boundary element analysis. Herein, we propose a new mode of coupled analysis which is based on combining the linear theory of elasticity with Timoshenko's shell theory [D(imension)adaptive model]. For the sake of simplicity, the paper is restricted to the investigation of two-dimensional (plane strain) problems. A special type of boundary conditions is proposed for linking the parts of the cross-section of a cylindrical structure, which are treated by dierent theories. The boundary of the part of the cross-section, which is described by the equations of the theory of elasticity, is discretized by means of boundary elements. The remaining part of the cross-section, which is described by the equations of the Timoshenko's shell theory, is discretized by means of ®nite elements. The numerical investigation demonstrates the special features of the proposed hybrid model and of the respective coupling technique.