Buy article PDF
Instant access to
the full article PDF
for the next 48 hrs
US$ 35
|
Structural Engineering and Mechanics Volume 68, Number 3, November10 2018 , pages 299-312 DOI: https://doi.org/10.12989/sem.2018.68.3.299 |
|
|
|
An extended finite element method for modeling elastoplastic FGM plate-shell type structures |
||
Hanen Jrad, Jamel Mars, Mondher Wali and Fakhreddine Dammak
|
||
| Abstract | ||
| In this paper, an extended finite element method is proposed to analyze both geometric and material non-linear behavior of general Functionally Graded Material (FGM) plate-shell type structures. A user defined subroutine (UMAT) is developed and implemented in Abaqus/Standard to study the elastoplastic behavior of the ceramic particle-reinforced metal-matrix FGM plates-shells. The standard quadrilateral 4-nodes shell element with three rotational and three translational degrees of freedom per node, S4, is extended in the present study, to deal with elasto-plastic analysis of geometrically non-linear FGM plate-shell structures. The elastoplastic material properties are assumed to vary smoothly through the thickness of the plate-shell type structures. The nonlinear approach is based on Mori-Tanaka model to underline micromechanics and locally determine the effective FGM properties and self-consistent method of Suquet for the homogenization of the stress-field. The elasto-plastic behavior of the ceramic/metal FGM is assumed to follow Ludwik hardening law. An incremental formulation of the elasto-plastic constitutive relation is developed to predict the tangent operator. In order to to highlight the effectiveness and the accuracy of the present finite element procedure, numerical examples of geometrically non-linear elastoplastic functionally graded plates and shells are presented. The effects of the geometrical parameters and the volume fraction index on nonlinear responses are performed. | ||
| Key Words | ||
| composites; finite element method (FEM); functionally graded; non-linear analysis; numerical methods; plate/shell structures | ||
| Address | ||
| Hanen Jrad, Jamel Mars and Fakhreddine Dammak: Engineering Production Mechanics and Materials Unit (UGPMM), National Engineering School of Sfax, University of Sfax, B.P. 1173-3038, Sfax, Tunisia Mondher Wali: 1) Department of Mechanical Engineering, College of Engineering, King Khalid University, Abha, Saudi Arabia 2) Engineering Production Mechanics and Materials Unit (UGPMM), National Engineering School of Sfax, University of Sfax, B.P. 1173-3038, Sfax, Tunisia | ||