New axisymmetric solid elements based on an extended Hellinger-Reissner principle

DOI10.1007/BF02486677zbMath0831.73061OpenAlexW2066710249MaRDI QIDQ4849502

Jiong Tian, Jinsong Liu, Zongshu Tian

Publication date: 22 February 1996

Published in: Acta Mechanica Sinica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02486677

zbMATH Keywords

bendingequilibrium equationsstress fieldsconstraint conditionsnearly incompressible limit4-node incompatible hybrid stress elementshigher order stress termsmodified rational approach

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Membranes (74K15)

Cites Work

• Axisymmetric solid elements by the generalized hybrid method
• Axisymmetric solid elements by a rational hybrid stress method
• Axisymmetric elements with high coarse-mesh accuracy
• Relations between incompatible displacement model and hybrid stress model
• Improved hybrid-stress axisymmetric elements includng behaviour for nearly incompressible materials
• An incompatible element for axisymmetric structure and its modification by hybrid method
• A study of axisymmetric solid of revolution elements based on the assumed-stress hybrid model

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