Quasi-static Von-Karman evolution
and Numerical approach

Jaouad.Oudaani

doi:https://doi.org/10.14445/22315373/IJMTT-V43P511

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 43 | Number 2 | Year 2017 | Article Id. IJMTT-V43P511 | DOI : https://doi.org/10.14445/22315373/IJMTT-V43P511

Quasi-static Von-Karman evolution and Numerical approach

Jaouad.Oudaani

Abstract

In this paper we consider the vibration of nonlinear deformation of elastic shallow shell. This is a parabolic problem of Von-Karman evolution without rotational inertia, in quasistatic form. The aim of this article is to finding a condition verified by the internal and external loads in up to have a uniqueness weak solution. For illustrate our theoretical results we use the method of finite difference known that by alternating direction implicit schemes (ADI).

Keywords

Elastic shallow shell, Quasi-static Von-Karman, Finite difference method, ADI methods.

References

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Citation :

Jaouad.Oudaani, "Quasi-static Von-Karman evolution and Numerical approach," International Journal of Mathematics Trends and Technology (IJMTT), vol. 43, no. 2, pp. 68-74, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V43P511