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Mixed finite element formulation for geometrically non‐linear analysis of shells of revolution
Author(s) -
Tottenham H.,
Barony S. Y.
Publication year - 1978
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620120203
Subject(s) - finite element method , mathematics , curvature , shell (structure) , zonal and meridional , geometry , mathematical analysis , displacement (psychology) , mixed finite element method , physics , structural engineering , engineering , psychology , civil engineering , atmospheric sciences , psychotherapist
A Finite Element formulation for the axisymmetrical analysis of rotational shells with geometric non‐linearity is developed, using a mixed finite element model of a curved rotational shell type, the two global components of displacement ( u r , u z ) and the two stress couples ( M r , M tH ) being the free and independent unknowns of the problem. The prescribed geometry at every nodal circle comprises the co‐ordinates and meridional slope angle and curvature. Newton‐Raphson Iteration is used in solving the non‐linear system of equations. Circular plates and a spherical cap are used as examples to test the formulation; good results were achieved which are presented graphically in comparison to the analytical solution.