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Theory of dynamic mode-II delamination in end-loaded split tests
The dynamic mode-II energy release rate (ERR) of the end-loaded split (ELS) test with applied time-dependent displacement is derived for the first time with the effect of vibration included. Dynamic Euler-Bernoulli beams are used together with a deflection condition to simulate contact. To understan...
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| Format: | Default Article |
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2020
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| Online Access: | https://hdl.handle.net/2134/13143641.v1 |
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| _version_ | 1818167142297632768 |
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| author | Tianyu Chen Christopher Harvey Simon Wang Vadim Silberschmidt |
| author_facet | Tianyu Chen Christopher Harvey Simon Wang Vadim Silberschmidt |
| author_sort | Tianyu Chen (3393230) |
| collection | Figshare |
| description | The dynamic mode-II energy release rate (ERR) of the end-loaded split (ELS) test with applied time-dependent displacement is derived for the first time with the effect of vibration included. Dynamic Euler-Bernoulli beams are used together with a deflection condition to simulate contact. To understand the dynamic effect and the relative dynamic contribution from each vibration mode, a ‘dynamic factor’ and a ‘spatial factor’ are defined. It is found that the contribution of the ith vibration mode is dependent on the spatial factor, which is a function of the delamination length and the total length of the ELS specimen. Certain vibration modes are dominant dependent on the spatial factor. In addition, for a given spatial factor, there may be a certain vibration mode, which makes approximately zero contribution to the ERR. The developed theory is verified against results from finite-element method (FEM) simulations and it is in excellent agreement. This work now allows the loading rate-dependent mode-II delamination toughness of materials to be determined by using ELS tests. In addition, it provides understanding of the structural dynamic response in the presence of mode-II delamination and can guide the design of structures to mitigate against vibration-driven delamination. |
| format | Default Article |
| id | rr-article-13143641 |
| institution | Loughborough University |
| publishDate | 2020 |
| record_format | Figshare |
| spelling | rr-article-131436412020-10-31T00:00:00Z Theory of dynamic mode-II delamination in end-loaded split tests Tianyu Chen (3393230) Christopher Harvey (1256223) Simon Wang (1250952) Vadim Silberschmidt (1248129) Vibration Mode-II Delamination Dynamic mode-II energy release rate (ERR) End-loaded split (ELS) test Beam dynamics The dynamic mode-II energy release rate (ERR) of the end-loaded split (ELS) test with applied time-dependent displacement is derived for the first time with the effect of vibration included. Dynamic Euler-Bernoulli beams are used together with a deflection condition to simulate contact. To understand the dynamic effect and the relative dynamic contribution from each vibration mode, a ‘dynamic factor’ and a ‘spatial factor’ are defined. It is found that the contribution of the ith vibration mode is dependent on the spatial factor, which is a function of the delamination length and the total length of the ELS specimen. Certain vibration modes are dominant dependent on the spatial factor. In addition, for a given spatial factor, there may be a certain vibration mode, which makes approximately zero contribution to the ERR. The developed theory is verified against results from finite-element method (FEM) simulations and it is in excellent agreement. This work now allows the loading rate-dependent mode-II delamination toughness of materials to be determined by using ELS tests. In addition, it provides understanding of the structural dynamic response in the presence of mode-II delamination and can guide the design of structures to mitigate against vibration-driven delamination. 2020-10-31T00:00:00Z Text Journal contribution 2134/13143641.v1 https://figshare.com/articles/journal_contribution/Theory_of_dynamic_mode-II_delamination_in_end-loaded_split_tests/13143641 CC BY 4.0 |
| spellingShingle | Vibration Mode-II Delamination Dynamic mode-II energy release rate (ERR) End-loaded split (ELS) test Beam dynamics Tianyu Chen Christopher Harvey Simon Wang Vadim Silberschmidt Theory of dynamic mode-II delamination in end-loaded split tests |
| title | Theory of dynamic mode-II delamination in end-loaded split tests |
| title_full | Theory of dynamic mode-II delamination in end-loaded split tests |
| title_fullStr | Theory of dynamic mode-II delamination in end-loaded split tests |
| title_full_unstemmed | Theory of dynamic mode-II delamination in end-loaded split tests |
| title_short | Theory of dynamic mode-II delamination in end-loaded split tests |
| title_sort | theory of dynamic mode-ii delamination in end-loaded split tests |
| topic | Vibration Mode-II Delamination Dynamic mode-II energy release rate (ERR) End-loaded split (ELS) test Beam dynamics |
| url | https://hdl.handle.net/2134/13143641.v1 |