Elastic fields of a wedge disclination in a functionally graded cylinder
In this paper, the elastic fields of a wedge disclination in a functionally graded cylinder are obtained in closed-form by directly solving the equilibrium equations. The cylinder material is graded radially according to a power law characterized by a gradient index. The disclination has a small fix...
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2022
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| Online Access: | https://hdl.handle.net/10356/159932 |
| _version_ | 1826129012593786880 |
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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 | In this paper, the elastic fields of a wedge disclination in a functionally graded cylinder are obtained in closed-form by directly solving the equilibrium equations. The cylinder material is graded radially according to a power law characterized by a gradient index. The disclination has a small fixed core of nanometer dimension. The results show that: (1) the displacement, radial and transverse stresses vary with the radial coordinate according to a sum of power laws, (2) the gradient index changes the elastic fields through modification of the elastic parameters, and modification of the power law indices of the field dependence on (i) the radial coordinate and (ii) the cylinder dimensions, (3) the stresses at and near the disclination core are generally reduced by both positive and negative gradients, (4) the transverse stress at the disclination core can be reduced to zero and even compressive for small negative gradients, (5) a significant size effect exists for the disclination stresses, and the effect is influenced strongly by the gradient index, (6) the energy of the disclination is a strong, non-monotonic function of the gradient. These results suggest that various relaxation phenomena such as crack nucleation and disclination splitting may be controlled by selecting a suitable gradient for the material variation. |
| first_indexed | 2024-10-01T07:34:14Z |
| format | Journal Article |
| id | ntu-10356/159932 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T07:34:14Z |
| publishDate | 2022 |
| record_format | dspace |
| spelling | ntu-10356/1599322022-07-06T01:51:31Z Elastic fields of a wedge disclination in a functionally graded cylinder Wu, Mao See School of Mechanical and Aerospace Engineering Engineering::Mechanical engineering Wedge Disclination Functionally Graded Cylinder In this paper, the elastic fields of a wedge disclination in a functionally graded cylinder are obtained in closed-form by directly solving the equilibrium equations. The cylinder material is graded radially according to a power law characterized by a gradient index. The disclination has a small fixed core of nanometer dimension. The results show that: (1) the displacement, radial and transverse stresses vary with the radial coordinate according to a sum of power laws, (2) the gradient index changes the elastic fields through modification of the elastic parameters, and modification of the power law indices of the field dependence on (i) the radial coordinate and (ii) the cylinder dimensions, (3) the stresses at and near the disclination core are generally reduced by both positive and negative gradients, (4) the transverse stress at the disclination core can be reduced to zero and even compressive for small negative gradients, (5) a significant size effect exists for the disclination stresses, and the effect is influenced strongly by the gradient index, (6) the energy of the disclination is a strong, non-monotonic function of the gradient. These results suggest that various relaxation phenomena such as crack nucleation and disclination splitting may be controlled by selecting a suitable gradient for the material variation. 2022-07-06T01:51:31Z 2022-07-06T01:51:31Z 2021 Journal Article Wu, M. S. (2021). Elastic fields of a wedge disclination in a functionally graded cylinder. Mechanics of Materials, 157, 103835-. https://dx.doi.org/10.1016/j.mechmat.2021.103835 0167-6636 https://hdl.handle.net/10356/159932 10.1016/j.mechmat.2021.103835 2-s2.0-85102802557 157 103835 en Mechanics of Materials © 2021 Elsevier Ltd. All rights reserved. |
| spellingShingle | Engineering::Mechanical engineering Wedge Disclination Functionally Graded Cylinder Wu, Mao See Elastic fields of a wedge disclination in a functionally graded cylinder |
| title | Elastic fields of a wedge disclination in a functionally graded cylinder |
| title_full | Elastic fields of a wedge disclination in a functionally graded cylinder |
| title_fullStr | Elastic fields of a wedge disclination in a functionally graded cylinder |
| title_full_unstemmed | Elastic fields of a wedge disclination in a functionally graded cylinder |
| title_short | Elastic fields of a wedge disclination in a functionally graded cylinder |
| title_sort | elastic fields of a wedge disclination in a functionally graded cylinder |
| topic | Engineering::Mechanical engineering Wedge Disclination Functionally Graded Cylinder |
| url | https://hdl.handle.net/10356/159932 |
| work_keys_str_mv | AT wumaosee elasticfieldsofawedgedisclinationinafunctionallygradedcylinder |