FE FORMULATION FOR THE VISCOELASTIC BODY MODELED BY FRACTIONAL CONSTITUTIVE LAW

• 来源期刊: 力学学报（英文版）
• 学科: 物理学
• 年，卷（期）: 2001,（4）
• 页码范围: 354-365
• 页数: 12页
• 分类号: O3
• 语种: 英文

摘要

This paper presents finite element (FE) fornulation of the viscoelastic materials described by fractional constitutive law. The time-domain threedimensional constitutive equation is constructed. The FE equations are set up by treating the fractional operator as a special case of the hereditary integration. The equations are solved by numerical integration method. The numerical algorithm de veloped by the authors for Liouville-Riemann's fractional derivative was adopted to formulate FE procedures and extended to solve the more general case of the hereditary integration. The numerical examples were given to show the correctness and effectiveness of the integration algorithm.