Quadratic solid–shell finite elements for geometrically nonlinear analysis of functionally graded material plates
Article dans une revue avec comité de lecture
Abstract
In the current contribution, prismatic and hexahedral quadratic solid–shell (SHB) finite elements are proposed for the geometrically nonlinear analysis of thin structures made of functionally graded material (FGM). The proposed SHB finite elements are developed within a purely 3D framework, with displacements as the only degrees of freedom. Also, the in-plane reduced-integration technique is combined with the assumed-strain method to alleviate various locking phenomena. Furthermore, an arbitrary number of integration points are placed along a special direction, which represents the thickness. The developed elements are coupled with functionally graded behavior for the modeling of thin FGM plates. To this end, the Young modulus of the FGM plate is assumed to vary gradually in the thickness direction, according to a volume fraction distribution. The resulting formulations are implemented into the quasi-static ABAQUS/Standard finite element software in the framework of large displacements and rotations. Popular nonlinear benchmark problems are considered to assess the performance and accuracy of the proposed SHB elements. Comparisons with reference solutions from the literature demonstrate the good capabilities of the developed SHB elements for the 3D simulation of thin FGM plates.
Files in this item
- Name:
- LEM3_MATERIALS_2018_CHALAL.pdf
- Size:
- 1.293Mb
- Format:
- Description:
- Article principal
Related items
Showing items related by title, author, creator and subject.
-
Article dans une revue avec comité de lectureThe localization of deformation into planar bands is often considered as the ultimate stage of strain prior to ductile fracture. In this study, ductility limits of metallic materials are predicted using the Gurson–Tverga ...
-
Article dans une revue avec comité de lectureThin structures are commonly designed and employedin engineering industries to save material, reduce weight and improve the overall performance of products. The finite element (FE) simulation of such thin structural ...
-
Ductility limit prediction using a GTN damage model coupled with localization bifurcation analysis Article dans une revue avec comité de lectureBecause the localization of deformation into narrow planar bands is often precursor to material failure, several approaches have been proposed to predict this phenomenon. In this paper, the Gurson–Tvergaard– Needleman (GTN) ...
-
Article dans une revue avec comité de lectureThis paper proposes two linear solid‒shell finite elements for the three-dimensional modeling of thin structures in the context of explicit dynamic analysis. These solid‒shell formulations, which are extensions of their ...
-
Article dans une revue avec comité de lectureThe current contribution proposes two quadratic, prismatic and hexahedral, solid–shell elements for the geometric nonlinear analysis of laminated composite structures. The formulation of the proposed solid–shell elements ...