Hybrid finite element formulations for elastodynamic analysis in the frequency domain

✍ Scribed by J.A.Teixeira de Freitas

• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 694 KB
• Volume: 36
• Category: Article
• ISSN: 0020-7683
• DOI: 10.1016/s0020-7683(98)00064-x

✦ Synopsis

Three alternative sets of hybrid formulations to solve linear elastodynamic problems by the _nite element method are presented[ They are termed hybridÐmixed\ hybrid and hybridÐTre}tz and di}er essentially on the _eld conditions that the approximation functions are constrained to satisfy locally[ Two models\ namely the displacement and the stress models\ are obtained for each formulation depending on whether the tractions or the boundary displacements are the _eld chosen to implement interelement continuity[ A Fourier time discretization is used to uncouple the solving system in the frequency domain[ The basic space discretization criterion is implemented directly on the fundamental relations of elastodynamics and used to derive the stress and displacement models of the hybridÐmixed formulation[ The hybrid and hybridÐTre}tz formulations are presented in sequence as the variants of the hybridÐmixed formulation obtained by progressively increasing the constraints on the approximation bases[ Numerical implementation aspects are brie~y discussed and the performance of the _nite element models is illustrated with numerical applications[