Unified finite element methodology for gradient elasticity. (November 2015)

• Record Type: Journal Article
• Authors: Bagni, Cristian; Askes, Harm
• Is Part Of: Computers & structures. Volume 160(2015)
• Page Start: 100
• Page End: 110
• Publication Date: 2015-11
• Subjects: Finite element methodology -- Gradient elasticity -- Internal length scale -- Fracture mechanics -- Removal of singularity -- 2D and 3D finite elements; Structural engineering -- Data processing -- Periodicals; Electronic data processing -- Structures, Theory of -- Periodicals; 624.171
• DOI: 10.1016/j.compstruc.2015.08.008
• Languages: English
• ISSNs: 0045-7949

Abstract

Highlights: Finite elements for gradient elasticity. Removal of singularities. Optimal element size for gradient elasticity. Abstract: In this paper a unified finite element methodology based on gradient-elasticity is proposed for both two- and three-dimensional problems, along with some considerations about the best integration rules to be used and a comprehensive convergence study. From the convergence study it has emerged that for both two and three-dimensional problems, the implemented elements show a convergence rate virtually equal to the corresponding theoretical values. Recommendations on optimal element size are also provided. Furthermore, the ability of the proposed methodology to remove singularities in statics has been demonstrated through a couple of examples, in both two and three dimensions.