No Cover Image

Journal article 372 views 40 downloads

Subdivision based mixed methods for isogeometric analysis of linear and nonlinear nearly incompressible materials / C. Kadapa; W.G. Dettmer; D. Perić

Computer Methods in Applied Mechanics and Engineering, Volume: 305, Pages: 241 - 270

Swansea University Author: Peric, Djordje

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 displacemen...

Full description

Published in: Computer Methods in Applied Mechanics and Engineering
ISSN: 0045-7825
Published: 2016
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa27005
Tags: Add Tag
No Tags, Be the first to tag this record!
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.
Keywords: Isogeometric analysis; Mixed Galerkin formulations; Nearly incompressible materials; Subdivision stabilisation; Inf–Sup stability; Elasto-plastic material models
College: College of Engineering
Start Page: 241
End Page: 270