Techno Press
Techno Press

Steel and Composite Structures
  Volume 31, Number 4, May25 2019 , pages 397-408
DOI: https://doi.org/10.12989/scs.2019.31.4.397
 


Geometrically nonlinear meshfree analysis of 3D-shell structures based on the double directors shell theory with finite rotations
Hana Mellouli, Hanen Jrad, Mondher Wali and Fakhreddine Dammak

 
Abstract
    In this paper, a geometrically nonlinear meshfree analysis of 3D various forms of shell structures using the double director shell theory with finite rotations is proposed. This theory is introduced in the present method to remove the shear correction factor and to improve the accuracy of transverse shear stresses with the consideration of rotational degrees of freedom.The present meshfree method is based on the radial point interpolation method (RPIM) which is employed for the construction of shape functions for a set of nodes distributed in a problem domain. Discrete system of geometrically nonlinear equilibrium equations solved with the Newton-Raphson method is obtained by incorporating these interpolations into the weak form. The accuracy of the proposed method is examined by comparing the present results with the accurate ones available in the literature and good agreements are found.
 
Key Words
    meshfree method; geometric nonlinear analysis; 3D shell structures; double directors shell theory; finite rotations; RPIM
 
Address
(1) Monther Wali:
Department of Mechanical Engineering, College of Engineering, King Khalid University, Abha, Saudi Arabia;
(2) Hana Mellouli, Hanen Jrad, Monther Wali, Fakhreddine Dammak:
Laboratory of Electromechanical Systems (LASEM), National Engineering School of Sfax, University of Sfax, Route de Soukra km 4, 3038 Sfax, Tunisia.
 

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