Nonlinear versions of flexurally superconvergent elements

DOI10.1016/0045-7825(88)90034-5zbMath0679.73028OpenAlexW1978002510MaRDI QIDQ1823055

Ted Beltytschko, Wing Kam Liu, Jiun-Shyan Chen

Publication date: 1988

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(88)90034-5

zbMATH Keywords

deformation gradientfirst Piola-Kirchhoff stress tensorgamma-projectionHu-Washizu variational principallarge-displacement problems

Mathematics Subject Classification ID

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Cites Work

• Unnamed Item
• Finite element stabilization matrices - A unification approach
• Hourglass control in linear and nonlinear problems
• Efficient implementation of quadrilaterals with high coarse-mesh accuracy
• A non-conforming element for stress analysis
• Applications of higher order corotational stretch theories to nonlinear finite element analysis
• On variational methods in finite and incremental elastic deformation problems with discontinuous fields
• Large elastic deformations of isotropic materials VI. Further results in the theory of torsion, shear and flexure
• Large elastic deformations of isotropic materials. V. The problem of flexure

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