A locking-free finite element formulation for a non-uniform linear viscoelastic Timoshenko beam. (1st October 2021)

• Record Type: Journal Article
• Authors: Hernández, Erwin; Vellojin, Jesus
• Is Part Of: Computers & mathematics with applications. Volume 99(2021)
• Page Start: 305
• Page End: 322
• Publication Date: 2021-10-01
• Subjects: Locking-free -- Viscoelastic beam -- Timoshenko beam theory -- Linear viscoelasticity; Electronic data processing -- Periodicals; Mathematics -- Data processing -- Periodicals; 510.28541
• DOI: 10.1016/j.camwa.2021.08.014
• Languages: English
• ISSNs: 0898-1221

Abstract

Abstract: In this paper we use a modified constitutive law in a hereditary integral form to analyze the response of an isotropic non-uniform linear viscoelastic Timoshenko beam. A mixed method framework is used to provide stability and semi-discrete error estimates that do not deteriorate as the thickness parameter becomes small. Numerical experiments for both quasi-static and transient cases are presented.