A new formulation of hybrid/mixed finite element

DOI10.1016/0045-7949(83)90149-9zbMath0498.73073OpenAlexW2010651891MaRDI QIDQ3964122

Dapeng Chen, David S. Kang, Theodore Hsueh-huang Pian

Publication date: 1983

Published in: Computers & Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7949(83)90149-9

zbMATH Keywords

Hellinger-Reissner principlestress hybrid modelstress equilibrium conditions3-D solid elementbrought-in through use of additional internal displacement parametersless sensitive to choice of reference coordinatesnatural coordinates for stress assumptions

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Variational principles of physics (49S05)

Related Items (19)

New variational-asymptotic formulations for interlaminar stress analysis in laminated plates ⋮ Assumed stress formulation of high order quadrilateral elements with an improved in-plane bending behaviour ⋮ A new component mode synthesis for dynamic mixed thin plate finite element models ⋮ Theoretical basis and general optimal formulations of isoparametric generalized hybrid/mixed element model for improved stress analysis ⋮ The patch test conditions and some multivariable finite element formulations ⋮ Various double component mode synthesis and sub-structuring methods for dynamic mixed FEM ⋮ New variational-asymptotic formulations for 3-D stress analyses of laminated composite shells with a circular hole ⋮ A 3D Cosserat point element (CPE) for nonlinear orthotropic solids: Generalization for an initially distorted mesh and an arbitrary orientation of material orthotropy ⋮ A potential-hybrid/mixed finite element scheme for analysis of plates and cylindrical shells ⋮ Mixed finite element formulations in the time domain for solution of dynamic problems ⋮ A hybrid brick element with rotational degrees of freedom ⋮ Refined hybrid degenerated shell element for geometrically non-linear analysis ⋮ On the use of Lagrange multiplier compatible modes for controlling accuracy and stability of mixed shell finite elements ⋮ Finite-rotation shell elements via mixed formulation ⋮ Smoothed finite element methods (S-FEM): an overview and recent developments ⋮ A new type of plate bending element ⋮ Extrapolated fields in the formulation of the assumed strain elements. II: Three-dimensional problems ⋮ Development and testing of stable, invariant, isoparametric curvilinear 2- and 3-D hybrid-stress elements ⋮ Hybrid-stress isoparametric elements for moderately thick and thin multilayer plates

This page was built for publication: A new formulation of hybrid/mixed finite element