Numerical control of the hourglass instability
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Publication:3723863
DOI10.1002/nme.1620220116zbMath0593.73084OpenAlexW2129608560MaRDI QIDQ3723863
Olivier-Pierre Jacquotte, Eric B. Becker, J. Tinsley Oden
Publication date: 1986
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/nme.1620220116
equationshourglass instabilitynumerical controlunderintegrated matrixpost-processing operationarbitrary hourglass modelinear system of
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New improved hourglass control for bilinear and trilinear elements in anisotropic linear elasticity ⋮ The \(C^ 0\) shell plate and beam elements freed from their deficiencies ⋮ An efficient and rapid numerical quadrature to generate element matrices for quadrilateral and hexahedral elements in functionally graded materials (FGMs) ⋮ A new numerical integration over arbitrary quadrilateral element based on smoothed strain energy and Richardson extrapolation ⋮ The four-node \(C^ 0\) Mindlin plate bending element reformulated. I: Formulation. II: Verification ⋮ An accurate and efficient a posteriori control of hourglass instabilities in underintegrated linear and nonlinear elasticity
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