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Partition of mixed modes in double cantilever beams with non-rigid elastic interfaces
The authors’ existing mixed-mode partition theories for rigid interfaces are extended to non-rigid cohesive interfaces for layered isotropic double cantilever beams. Within the context of Euler beam theory, it is shown that the two sets of orthogonal pure modes coincide at the first set of pure mode...
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| Format: | Default Article |
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2013
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| Online Access: | https://hdl.handle.net/2134/9169 |
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| _version_ | 1818175738122076160 |
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| author | Simon Wang Christopher Harvey Liangliang Guan |
| author_facet | Simon Wang Christopher Harvey Liangliang Guan |
| author_sort | Simon Wang (1250952) |
| collection | Figshare |
| description | The authors’ existing mixed-mode partition theories for rigid interfaces are extended to non-rigid cohesive interfaces for layered isotropic double cantilever beams. Within the context of Euler beam theory, it is shown that the two sets of orthogonal pure modes coincide at the first set of pure modes due to the absence of any crack tip stress singularity for a non-rigid interface. The total energy release rate in a mixed mode is then partitioned using this first set of pure modes without considering any ‘stealthy interaction’. Within the context of Timoshenko beam theory, it is shown that the mode II component of energy release rate is the same as that in Euler beam theory while the mode I component is different due to the through-thickness shear effect. Within the context of 2D elasticity, a mixed-mode partition theory is developed using the two sets of orthogonal pure modes from Euler beam theory with rigid interfaces and a powerful orthogonal pure mode methodology. Numerical simulations are conducted to verify the theories. |
| format | Default Article |
| id | rr-article-9224693 |
| institution | Loughborough University |
| publishDate | 2013 |
| record_format | Figshare |
| spelling | rr-article-92246932013-01-01T00:00:00Z Partition of mixed modes in double cantilever beams with non-rigid elastic interfaces Simon Wang (1250952) Christopher Harvey (1256223) Liangliang Guan (7119455) Other engineering not elsewhere classified Energy release rate Mixed mode partitions Orthogonal pure modes Engineering not elsewhere classified The authors’ existing mixed-mode partition theories for rigid interfaces are extended to non-rigid cohesive interfaces for layered isotropic double cantilever beams. Within the context of Euler beam theory, it is shown that the two sets of orthogonal pure modes coincide at the first set of pure modes due to the absence of any crack tip stress singularity for a non-rigid interface. The total energy release rate in a mixed mode is then partitioned using this first set of pure modes without considering any ‘stealthy interaction’. Within the context of Timoshenko beam theory, it is shown that the mode II component of energy release rate is the same as that in Euler beam theory while the mode I component is different due to the through-thickness shear effect. Within the context of 2D elasticity, a mixed-mode partition theory is developed using the two sets of orthogonal pure modes from Euler beam theory with rigid interfaces and a powerful orthogonal pure mode methodology. Numerical simulations are conducted to verify the theories. 2013-01-01T00:00:00Z Text Journal contribution 2134/9169 https://figshare.com/articles/journal_contribution/Partition_of_mixed_modes_in_double_cantilever_beams_with_non-rigid_elastic_interfaces/9224693 CC BY-NC-ND 4.0 |
| spellingShingle | Other engineering not elsewhere classified Energy release rate Mixed mode partitions Orthogonal pure modes Engineering not elsewhere classified Simon Wang Christopher Harvey Liangliang Guan Partition of mixed modes in double cantilever beams with non-rigid elastic interfaces |
| title | Partition of mixed modes in double cantilever beams with non-rigid elastic interfaces |
| title_full | Partition of mixed modes in double cantilever beams with non-rigid elastic interfaces |
| title_fullStr | Partition of mixed modes in double cantilever beams with non-rigid elastic interfaces |
| title_full_unstemmed | Partition of mixed modes in double cantilever beams with non-rigid elastic interfaces |
| title_short | Partition of mixed modes in double cantilever beams with non-rigid elastic interfaces |
| title_sort | partition of mixed modes in double cantilever beams with non-rigid elastic interfaces |
| topic | Other engineering not elsewhere classified Energy release rate Mixed mode partitions Orthogonal pure modes Engineering not elsewhere classified |
| url | https://hdl.handle.net/2134/9169 |