TY  - INPR
ID  - SisLab3223
UR  - https://eprints.uet.vnu.edu.vn/eprints/id/eprint/3223/
A1  - Nguyen, Dinh Du
A1  - Nguyen, Ngoc Minh
A1  - Bui, Quoc Tinh
A1  - Nguyen, Dinh Duc
Y1  - 2018/09//
N2  - 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.
TI  - Analysis of linear elastic fracture mechanics for cracked functionally graded composites by enhanced local enriched consecutive-interpolation elements
M2  - Hanoi, Vietnam
AV  - none
T2  - 2018 Theme Meeting on Multiscale Modelling of Materials for  Sustainable Development (ACCMS)
ER  -