A 6-parameter triangular flat shell element for nonlinear analysis

Authors

  • Professor Mohammad Rezaiee-Pajand Department of Civil Engineering, Ferdowsi University of Mashhad, Mashhad, Iran
  • Amir R. Masoodi Department of Civil Engineering, Ferdowsi University of Mashhad, Mashhad, Iran
  • E. Arabi Department of Civil Engineering, Ferdowsi University of Mashhad, Mashhad, Iran

DOI:

https://doi.org/10.13052/ejcm1958-5829.2835

Keywords:

Flat triangular shell element; Total Lagrangian formulation; drilling; MITC approach; geometrically nonlinear analysis.

Abstract

In this paper, an improved flat triangular shell element is proposed. This element has three nodes, and in each node, six degrees of freedom are considered. Since there are three rotational degrees of freedom at each node, the drilling effect can be incorporated in authors' formulation. A new procedure is also suggested for updating the director vectors about which the rotational degrees of freedom are defined. In order to study large displacements and rotations, Total Lagrangian principles are employed. In addition, updating the rotational degrees of freedom is implemented using enriched updated director vectors, which are formulated based on the finite rotation method. On the other hand, small strains are considered in this formulation. By utilizing MITC method, shear and membrane locking is mitigated from new element. To examine the performance, the element passes three basic tests, including isotropy, and patch test. Moreover, a convergence study is also implemented to show the elemental behavior. Several popular benchmarks are considered to illustrate the accuracy and capability of the suggested element in geometrically nonlinear analyses.    

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Author Biographies

Professor Mohammad Rezaiee-Pajand, Department of Civil Engineering, Ferdowsi University of Mashhad, Mashhad, Iran

Mohammad Rezaiee-Pajand received his PhD in Structural Engineering from University of Pittsburgh, Pittsburgh, PA, USA. He is currently a Professor at department of civil engineering in Ferdowsi University of Mashhad (FUM), Mashhad, Iran. His research interests are nonlinear analysis, finite element method, structural optimization and numerical techniques.

Amir R. Masoodi, Department of Civil Engineering, Ferdowsi University of Mashhad, Mashhad, Iran

Amir R. Masoodi is a Ph.D. candidate at Ferdowsi University of Mashhad, Iran. He graduated as a B.Sc. student of Civil Engineering from Ferdowsi University of Mashhad in 2012 (Iran). He also received his M.Sc. degree of Structural Engineering (Applied Mechanics) from Ferdowsi University of Mashhad in 2014 (Iran). His interests revolve around the Nonlinear Finite Element Method (NFEM), element generation, computational mechanics, and mechanical behavior of composite materials, damage and fracture.

E. Arabi, Department of Civil Engineering, Ferdowsi University of Mashhad, Mashhad, Iran

E. Arabi is a Ph.D. candidate at Ferdowsi University of Mashhad, Iran. He attended the Shahid Bahonar Kerman University, Iran where he received his B.Sc degree. in Civil Engineering. Elias then went on M.Sc. in Structural Engineering at the Ferdowsi University of Mashhad, Iran. His research interests are finite element analysis, mechanics of Materials, nonlinear Structural Analysis and composite Structures.

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Published

2019-09-11

How to Cite

Rezaiee-Pajand, P. M., Masoodi, A. R., & Arabi, E. (2019). A 6-parameter triangular flat shell element for nonlinear analysis. European Journal of Computational Mechanics, 28(3), 237–268. https://doi.org/10.13052/ejcm1958-5829.2835

Issue

2019: Vol28 Iss 3

Section

Original Article