Research Output
Subdivision based mixed methods for isogeometric analysis of linear and nonlinear nearly incompressible materials
  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.

  • Type:

    Article

  • Date:

    16 March 2016

  • Publication Status:

    Published

  • Publisher

    Elsevier BV

  • DOI:

    10.1016/j.cma.2016.03.013

  • Cross Ref:

    10.1016/j.cma.2016.03.013

  • ISSN:

    0045-7825

  • Funders:

    Historic Funder (pre-Worktribe)

Citation

Kadapa, C., Dettmer, W., & Perić, D. (2016). Subdivision based mixed methods for isogeometric analysis of linear and nonlinear nearly incompressible materials. Computer Methods in Applied Mechanics and Engineering, 305, 241-270. https://doi.org/10.1016/j.cma.2016.03.013

Authors

Keywords

Isogeometric analysis, Mixed Galerkin formulations, Nearly incompressible materials, Subdivision stabilisation, Inf–Sup stability, Elasto-plastic material models

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