An accurate and efficient a posteriori control of hourglass instabilities in underintegrated linear and nonlinear elasticity
type: Item
instance of: scholarly article
title: An accurate and efficient a posteriori control of hourglass instabilities in underintegrated linear and nonlinear elasticity
zbMATH Open document ID: 0571.73094
DOI: 10.1016/0045-7825(86)90088-5
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1986-01-01T00:00:00Z
review text: We present several ways to prevent and a posteriori eliminate hourglass instabilities from solutions obtained with underintegrated stiffness matrices. Several theoreticl results previously obtained for a model problem are stated, then the excitation of spurious oscillations is analyzed for a broader class of problems. Finally, the analysis is extended to linear and nonlinear elasticity problems: the spurious modes are constructed and their a posteriori elimination is described. Numerical results show that this method is accurate and efficient.
Mathematics Subject Classification ID: 74P99
Mathematics Subject Classification ID: 74B20
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 74-04
zbMATH DE Number: 3911889
zbMATH Keywords: a posteriori eliminated hourglass instabilities
zbMATH Keywords: solutions obtained with underintegrated stiffness matrices
zbMATH Keywords: excitation of spurious oscillations
zbMATH Keywords: a posteriori spurious-made control
zbMATH Keywords: subroutine
author: Olivier-Pierre Jacquotte
author: J. Tinsley Oden
MaRDI profile type: Publication
full work available at URL: 0045-7825(86)90088-5
OpenAlex ID: W2076895412
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description: scientific article; zbMATH DE number 3911889