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Analysis of linear elastic fracture mechanics for cracked functionally graded composites by enhanced local enriched consecutive-interpolation elements

Nguyen, Dinh Du and Nguyen, Ngoc Minh and Bui, Quoc Tinh and Nguyen, Dinh Duc (2018) Analysis of linear elastic fracture mechanics for cracked functionally graded composites by enhanced local enriched consecutive-interpolation elements. In: 2018 Theme Meeting on Multiscale Modelling of Materials for Sustainable Development (ACCMS), 7-9 September 2018, Hanoi, Vietnam. (In Press)

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Abstract

This paper reports the application of consecutive-interpolation procedure into four-node quadrilateral elements for analysis of two-dimensional cracked solids made of functionally graded composites. Compared to standard finite element method, the recently developed consecutive-interpolation has been shown to possess many desirable features, such as higher accuracy and smooth nodal gradients it still satisfies the Kronecker-delta property and keeps the total number of degrees of freedom unchanged. The discontinuity in displacement fields along the crack faces and stress singularity around the crack tips are mathematically modeled using enrichment functions. The Heaviside function is employed to describe displacement jump, while four branch functions being developed from asymptotic stress fields are taken as basis functions to capture singularities. The interesting characteristic of functionally graded composites is the spatial variation of material properties which are intentionally designed to be served for particular purposes. Such variation has to be taken into account during the computation of Stress Intensity Factors (SIFs). Performance of the proposed approach is demonstrated and verified through various numerical examples, in which SIFs are compared with reference solutions derived from other methods available in the literature.

Item Type: Conference or Workshop Item (Poster)
Subjects: Engineering Mechanics
Divisions: Faculty of Engineering Mechanics and Automation (FEMA)
Depositing User: Prof. Dinh Duc Nguyen
Date Deposited: 12 Dec 2018 15:18
Last Modified: 12 Dec 2018 15:18
URI: http://eprints.uet.vnu.edu.vn/eprints/id/eprint/3223

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