A triangular shell element for geometrically nonlinear analysis

In this paper, a geometrically nonlinear formulation for a six-node triangular shell element is proposed. Total Lagrangian formulation is utilized to consider large displacements and rotations in the shell analysis. To avoid shear and membrane locking, a proper interpolation function for the strain...

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Bibliographic Details
Published inActa mechanica Vol. 229; no. 1; pp. 323 - 342
Main Authors Rezaiee-Pajand, M., Arabi, E., Masoodi, Amir R.
Format Journal Article
LanguageEnglish
Published Vienna Springer Vienna 01.01.2018
Springer
Springer Nature B.V
Subjects
Alliances
Chemical elements
Classical and Continuum Physics
Control
Data analysis
Dynamical Systems
Engineering
Engineering Thermodynamics
Flow charts
Geometry
Heat and Mass Transfer
Nonlinear analysis
Nonlinear equations
Original Paper
Shells
Solid Mechanics
Theoretical and Applied Mechanics
Vibration
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Summary:In this paper, a geometrically nonlinear formulation for a six-node triangular shell element is proposed. Total Lagrangian formulation is utilized to consider large displacements and rotations in the shell analysis. To avoid shear and membrane locking, a proper interpolation function for the strain field is implemented. Both algorithm and flowchart of the nonlinear solution, which are utilized in the author’s computer program, are presented. To validate the suggested formulation, several popular benchmark problems are solved. Moreover, the obtained results are compared with those of the other well-known elements. Findings demonstrate the ability of the suggested shell element.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0001-5970
1619-6937
DOI:10.1007/s00707-017-1971-8