Numerical simulation for shell deformation using the Naghdi and Koiter models

Authors

  • José Luis Ponte Bejarano Instituto de Investigación en Matemáticas, Departamento de Matemáticas, Universidad Nacional de Trujillo, Trujillo, Perú.
  • Juan Carlos Ponte Bejarano Instituto de Investigación en Matemáticas, Departamento de Matemáticas, Universidad Nacional de Trujillo, Trujillo, Perú.
  • Alexis Rodriguez Carranza Instituto de Investigación en Matemáticas, Departamento de Matemáticas, Universidad Nacional de Trujillo, Trujillo, Perú.

DOI:

https://doi.org/10.17268/sel.mat.2025.02.11

Keywords:

Shell, Naghdi and Koiter models, numerical simulation for shells, finite element method

Abstract

In this research work, shell deformations generated by surface forces acting on the shell are described and simulated. The Naghdi and Koiter models are used to describe shell deformations. A weak formulation for the model is obtained, and some results on the existence of solutions are presented. The finite element method is then used to obtain the deformations. In addition, simulations of shell deformations are shown for the case of sectional curvature k = 0.

References

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Published

2025-12-27

How to Cite

Ponte Bejarano, J. L., Ponte Bejarano, J. C., & Rodriguez Carranza, A. (2025). Numerical simulation for shell deformation using the Naghdi and Koiter models. Selecciones Matemáticas, 12(02), 396 - 412. https://doi.org/10.17268/sel.mat.2025.02.11

Issue

Vol. 12 No. 02 (2025): August - December

Section

Articles

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