An accurate and efficient a posteriori control of hourglass instabilities in underintegrated linear and nonlinear elasticity

DOI10.1016/0045-7825(86)90088-5zbMath0571.73094OpenAlexW2076895412MaRDI QIDQ1061560

J. Tinsley Oden, Olivier-Pierre Jacquotte

Publication date: 1986

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(86)90088-5

zbMATH Keywords

a posteriori eliminated hourglass instabilitiesa posteriori spurious-made controlexcitation of spurious oscillationssolutions obtained with underintegrated stiffness matricessubroutine

Mathematics Subject Classification ID

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Cites Work

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• A consistent control of spurious singular modes in the 9-node Lagrange element for the Laplace and Mindlin plate equations
• Analysis of hourglass instabilities and control in underintegrated finite element methods
• Stability, accuracy, and efficiency of some underintegrated methods in finite element computations
• A stabilization matrix for the bilinear Mindlin plate element
• Numerical control of the hourglass instability
• A uniform strain hexahedron and quadrilateral with orthogonal hourglass control
• A stabilization procedure for the quadrilateral plate element with one‐point quadrature
• Spurious modes in two-dimensional isoparametric elements

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