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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| Published in | Acta mechanica Vol. 229; no. 1; pp. 323 - 342 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
Vienna
Springer Vienna
01.01.2018
Springer Springer Nature B.V |
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| Online Access | Get full text |
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| Abstract | 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. |
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| AbstractList | 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. |
| Audience | Academic |
| Author | Masoodi, Amir R. Arabi, E. Rezaiee-Pajand, M. |
| Author_xml | – sequence: 1 givenname: M. orcidid: 0000-0002-8808-0011 surname: Rezaiee-Pajand fullname: Rezaiee-Pajand, M. email: rezaiee@um.ac.ir organization: Department of Civil Engineering, Ferdowsi University of Mashhad – sequence: 2 givenname: E. surname: Arabi fullname: Arabi, E. organization: Department of Civil Engineering, Ferdowsi University of Mashhad – sequence: 3 givenname: Amir R. surname: Masoodi fullname: Masoodi, Amir R. organization: Department of Civil Engineering, Ferdowsi University of Mashhad |
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| SubjectTerms | 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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| Title | A triangular shell element for geometrically nonlinear analysis |
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