Extended isogeometric analysis of cracks in a plate
An Extended Isogeometric Analysis (XIGA) formulation has been implemented on MATLAB platform to compute mixed-mode stress intensity factors (SIFs) and displacements for cracks in homogenous material and bimaterial plate, specifically for center and edge crack samples and simula...
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| Other Authors: | |
| Format: | Final Year Project (FYP) |
| Language: | English |
| Published: |
2017
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| Online Access: | http://hdl.handle.net/10356/72353 |
| _version_ | 1826128963958734848 |
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| author | Wong, Wai Mun |
| author2 | Zhou Kun |
| author_facet | Zhou Kun Wong, Wai Mun |
| author_sort | Wong, Wai Mun |
| collection | NTU |
| description | An Extended Isogeometric Analysis (XIGA) formulation has been implemented
on MATLAB platform to compute mixed-mode stress intensity factors (SIFs) and
displacements for cracks in homogenous material and bimaterial plate, specifically for
center and edge crack samples and simulate single crack propagation in homogenous
material with voids and inclusions. The proposed method confirms numerically that it
outperforms the Extended Finite Element Method (XFEM) in accuracy and
computational efficiency. NURBS (non-uniform rational B-splines) based XIGA does
not require remeshing thus reducing significant computation time has already been
applied to material modelling as well as discrete and diffuse modelling of crack
propagation which allow efficient local refinement while maintaining higher-order
continuity and exact geometry. The crack faces are modelled by the discontinuous
Heaviside function. The stress singularity of the crack tip is modelled by the
enrichment function. The voids and inclusions are modelled by the Heaviside function
and the distance function. The interaction integral for homogeneous materials is used
to compute the SIFs of the crack tip. The improved performance of the method is
confirmed by numerical examples and compared with those of other methods available
in the literature. |
| first_indexed | 2024-10-01T07:33:06Z |
| format | Final Year Project (FYP) |
| id | ntu-10356/72353 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T07:33:06Z |
| publishDate | 2017 |
| record_format | dspace |
| spelling | ntu-10356/723532023-03-04T19:25:27Z Extended isogeometric analysis of cracks in a plate Wong, Wai Mun Zhou Kun School of Mechanical and Aerospace Engineering DRNTU::Engineering An Extended Isogeometric Analysis (XIGA) formulation has been implemented on MATLAB platform to compute mixed-mode stress intensity factors (SIFs) and displacements for cracks in homogenous material and bimaterial plate, specifically for center and edge crack samples and simulate single crack propagation in homogenous material with voids and inclusions. The proposed method confirms numerically that it outperforms the Extended Finite Element Method (XFEM) in accuracy and computational efficiency. NURBS (non-uniform rational B-splines) based XIGA does not require remeshing thus reducing significant computation time has already been applied to material modelling as well as discrete and diffuse modelling of crack propagation which allow efficient local refinement while maintaining higher-order continuity and exact geometry. The crack faces are modelled by the discontinuous Heaviside function. The stress singularity of the crack tip is modelled by the enrichment function. The voids and inclusions are modelled by the Heaviside function and the distance function. The interaction integral for homogeneous materials is used to compute the SIFs of the crack tip. The improved performance of the method is confirmed by numerical examples and compared with those of other methods available in the literature. Bachelor of Engineering (Mechanical Engineering) 2017-06-12T04:39:09Z 2017-06-12T04:39:09Z 2017 Final Year Project (FYP) http://hdl.handle.net/10356/72353 en Nanyang Technological University 62 p. application/pdf |
| spellingShingle | DRNTU::Engineering Wong, Wai Mun Extended isogeometric analysis of cracks in a plate |
| title | Extended isogeometric analysis of cracks in a plate |
| title_full | Extended isogeometric analysis of cracks in a plate |
| title_fullStr | Extended isogeometric analysis of cracks in a plate |
| title_full_unstemmed | Extended isogeometric analysis of cracks in a plate |
| title_short | Extended isogeometric analysis of cracks in a plate |
| title_sort | extended isogeometric analysis of cracks in a plate |
| topic | DRNTU::Engineering |
| url | http://hdl.handle.net/10356/72353 |
| work_keys_str_mv | AT wongwaimun extendedisogeometricanalysisofcracksinaplate |