Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6916188 | Computer Methods in Applied Mechanics and Engineering | 2016 | 30 Pages |
Abstract
This paper addresses the use of isogeometric analysis to solve solid mechanics problems involving nearly incompressible materials. The present work is focused on extension of two-field mixed variational formulations in both small and large strains to isogeometric analysis. Inf-sup stable displacement-pressure combinations for mixed formulations are developed based on the subdivision property of NURBS. Stability and convergence properties of the proposed displacement-pressure combinations are illustrated by computing numerical inf-sup constants and error norms. The performance of the proposed formulations is assessed by studying several benchmark examples involving nearly incompressible and incompressible elastic and elasto-plastic materials in both small and large strain regime.
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Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
C. Kadapa, W.G. Dettmer, D. PeriÄ,