Analysis of a dilatation in a non-linearly elastic sphere
A 2nd order non-linear elastic material has been successfully modeled as a 2-layered spherical shell bonded to a rigid core. Based on this model, the mechanical state described by 5 elastic parameters, λ, μ, l, m, and n is investigated. These parameters can be numerically manipulated to give desired...
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| Format: | Final Year Project (FYP) |
| Language: | English |
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2009
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| Online Access: | http://hdl.handle.net/10356/16185 |
| _version_ | 1811689212391456768 |
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| author | Zhang, Qingxian |
| author2 | Wu Mao See |
| author_facet | Wu Mao See Zhang, Qingxian |
| author_sort | Zhang, Qingxian |
| collection | NTU |
| description | A 2nd order non-linear elastic material has been successfully modeled as a 2-layered spherical shell bonded to a rigid core. Based on this model, the mechanical state described by 5 elastic parameters, λ, μ, l, m, and n is investigated. These parameters can be numerically manipulated to give desired properties for various functions. An application requiring minimal swelling of the bio-gel can be optimised by making the l and n values positive, while decreasing µ, l, m and n. On the other hand, an application requiring maximum swelling can be optimised by increasing λ and µ, while decreasing l and m.
A spherical gel with no core has been found to be radially and tangentially stress free in both its linear and non-linear capacities. Its displacement, independent of the elastic parameters, is a function of only the thermal properties and radial position. This is compared to the case of a spherical shell bonded to a rigid core, which has non-zero stresses. This implies that the presence of a rigid core act as a constraint to the material. |
| first_indexed | 2024-10-01T05:44:31Z |
| format | Final Year Project (FYP) |
| id | ntu-10356/16185 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T05:44:31Z |
| publishDate | 2009 |
| record_format | dspace |
| spelling | ntu-10356/161852023-03-04T18:26:19Z Analysis of a dilatation in a non-linearly elastic sphere Zhang, Qingxian Wu Mao See School of Mechanical and Aerospace Engineering DRNTU::Engineering::Materials::Biomaterials DRNTU::Engineering::Materials::Mechanical strength of materials A 2nd order non-linear elastic material has been successfully modeled as a 2-layered spherical shell bonded to a rigid core. Based on this model, the mechanical state described by 5 elastic parameters, λ, μ, l, m, and n is investigated. These parameters can be numerically manipulated to give desired properties for various functions. An application requiring minimal swelling of the bio-gel can be optimised by making the l and n values positive, while decreasing µ, l, m and n. On the other hand, an application requiring maximum swelling can be optimised by increasing λ and µ, while decreasing l and m. A spherical gel with no core has been found to be radially and tangentially stress free in both its linear and non-linear capacities. Its displacement, independent of the elastic parameters, is a function of only the thermal properties and radial position. This is compared to the case of a spherical shell bonded to a rigid core, which has non-zero stresses. This implies that the presence of a rigid core act as a constraint to the material. Bachelor of Engineering (Mechanical Engineering) 2009-05-22T04:35:28Z 2009-05-22T04:35:28Z 2009 2009 Final Year Project (FYP) http://hdl.handle.net/10356/16185 en Nanyang Technological University 105 p. application/pdf |
| spellingShingle | DRNTU::Engineering::Materials::Biomaterials DRNTU::Engineering::Materials::Mechanical strength of materials Zhang, Qingxian Analysis of a dilatation in a non-linearly elastic sphere |
| title | Analysis of a dilatation in a non-linearly elastic sphere |
| title_full | Analysis of a dilatation in a non-linearly elastic sphere |
| title_fullStr | Analysis of a dilatation in a non-linearly elastic sphere |
| title_full_unstemmed | Analysis of a dilatation in a non-linearly elastic sphere |
| title_short | Analysis of a dilatation in a non-linearly elastic sphere |
| title_sort | analysis of a dilatation in a non linearly elastic sphere |
| topic | DRNTU::Engineering::Materials::Biomaterials DRNTU::Engineering::Materials::Mechanical strength of materials |
| url | http://hdl.handle.net/10356/16185 |
| work_keys_str_mv | AT zhangqingxian analysisofadilatationinanonlinearlyelasticsphere |