A wedge disclination in a nonlinear elastic cylinder
The stress and displacement fields and the energy of a wedge disclination in a nonlinear elastic cylinder under finite deformation are derived. A second-order elastic theory, which is based on the solutions of the first-order theory, is used for this purpose. It is found that the second-order Cauchy...
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
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2021
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| Online Access: | https://hdl.handle.net/10356/151733 |
| _version_ | 1811676933667160064 |
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| author | Wu, Mao See |
| author2 | School of Mechanical and Aerospace Engineering |
| author_facet | School of Mechanical and Aerospace Engineering Wu, Mao See |
| author_sort | Wu, Mao See |
| collection | NTU |
| description | The stress and displacement fields and the energy of a wedge disclination in a nonlinear elastic cylinder under finite deformation are derived. A second-order elastic theory, which is based on the solutions of the first-order theory, is used for this purpose. It is found that the second-order Cauchy stresses are ratios of quadratic polynomials of ln(R/ρ), where R is the referential radial coordinate and ρ is the cylinder radius. The numerical results for steel suggest that the first-order theory is insufficiently accurate for disclinations with strength greater than 1°. Parametric studies of the elastic constants show that the second-order circumferential stress on the cylinder boundary is sensitive to the Lamé constants and one of the third-order elastic constants. |
| first_indexed | 2024-10-01T02:29:21Z |
| format | Journal Article |
| id | ntu-10356/151733 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T02:29:21Z |
| publishDate | 2021 |
| record_format | dspace |
| spelling | ntu-10356/1517332021-07-21T09:48:11Z A wedge disclination in a nonlinear elastic cylinder Wu, Mao See School of Mechanical and Aerospace Engineering Engineering::Mechanical engineering Wedge Disclination Second-order Elasticity The stress and displacement fields and the energy of a wedge disclination in a nonlinear elastic cylinder under finite deformation are derived. A second-order elastic theory, which is based on the solutions of the first-order theory, is used for this purpose. It is found that the second-order Cauchy stresses are ratios of quadratic polynomials of ln(R/ρ), where R is the referential radial coordinate and ρ is the cylinder radius. The numerical results for steel suggest that the first-order theory is insufficiently accurate for disclinations with strength greater than 1°. Parametric studies of the elastic constants show that the second-order circumferential stress on the cylinder boundary is sensitive to the Lamé constants and one of the third-order elastic constants. 2021-07-21T09:48:11Z 2021-07-21T09:48:11Z 2019 Journal Article Wu, M. S. (2019). A wedge disclination in a nonlinear elastic cylinder. Mathematics and Mechanics of Solids, 24(7), 2030-2046. https://dx.doi.org/10.1177/1081286518811399 1081-2865 0000-0001-7448-0826 https://hdl.handle.net/10356/151733 10.1177/1081286518811399 2-s2.0-85060531790 7 24 2030 2046 en Mathematics and Mechanics of Solids © 2018 The Author(s). All rights reserved. |
| spellingShingle | Engineering::Mechanical engineering Wedge Disclination Second-order Elasticity Wu, Mao See A wedge disclination in a nonlinear elastic cylinder |
| title | A wedge disclination in a nonlinear elastic cylinder |
| title_full | A wedge disclination in a nonlinear elastic cylinder |
| title_fullStr | A wedge disclination in a nonlinear elastic cylinder |
| title_full_unstemmed | A wedge disclination in a nonlinear elastic cylinder |
| title_short | A wedge disclination in a nonlinear elastic cylinder |
| title_sort | wedge disclination in a nonlinear elastic cylinder |
| topic | Engineering::Mechanical engineering Wedge Disclination Second-order Elasticity |
| url | https://hdl.handle.net/10356/151733 |
| work_keys_str_mv | AT wumaosee awedgedisclinationinanonlinearelasticcylinder AT wumaosee wedgedisclinationinanonlinearelasticcylinder |