Vacuum moulding of a superplastic in two dimensions
A mathematical model is proposed for the process of vacuum superplastic forming. The model exploits the fact that in most industrial applications the sheet aspect ratio (thickness/sheet width) is small. After an initial consideration of some of the more general properties and the literature of super...
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| Format: | Journal article |
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1999
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| _version_ | 1826289424213737472 |
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| author | Chapman, S |
| author_facet | Chapman, S |
| author_sort | Chapman, S |
| collection | OXFORD |
| description | A mathematical model is proposed for the process of vacuum superplastic forming. The model exploits the fact that in most industrial applications the sheet aspect ratio (thickness/sheet width) is small. After an initial consideration of some of the more general properties and the literature of superplastic materials, the elastic/plastic deformation of an internally-inflated thin-walled cylinder is examined. Plates of arbitrary geometry are then considered. A quasisteady model in which the sheet moves through a sequence of steady states is developed. Some simplified closed-form solutions are examined, but for general cases a system of nonlinear partial differential equations must be solved numerically. An efficient and accurate semi-explicit numerical scheme is proposed and a simplified stability analysis is presented; the method is then used to compute properties of superplastic vacuum moulded sheets in a number of practically motivated cases. |
| first_indexed | 2024-03-07T02:28:40Z |
| format | Journal article |
| id | oxford-uuid:a67b05df-80e6-438e-abd6-d9c49e8aa629 |
| institution | University of Oxford |
| last_indexed | 2024-03-07T02:28:40Z |
| publishDate | 1999 |
| record_format | dspace |
| spelling | oxford-uuid:a67b05df-80e6-438e-abd6-d9c49e8aa6292022-03-27T02:47:38ZVacuum moulding of a superplastic in two dimensionsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:a67b05df-80e6-438e-abd6-d9c49e8aa629Mathematical Institute - ePrints1999Chapman, SA mathematical model is proposed for the process of vacuum superplastic forming. The model exploits the fact that in most industrial applications the sheet aspect ratio (thickness/sheet width) is small. After an initial consideration of some of the more general properties and the literature of superplastic materials, the elastic/plastic deformation of an internally-inflated thin-walled cylinder is examined. Plates of arbitrary geometry are then considered. A quasisteady model in which the sheet moves through a sequence of steady states is developed. Some simplified closed-form solutions are examined, but for general cases a system of nonlinear partial differential equations must be solved numerically. An efficient and accurate semi-explicit numerical scheme is proposed and a simplified stability analysis is presented; the method is then used to compute properties of superplastic vacuum moulded sheets in a number of practically motivated cases. |
| spellingShingle | Chapman, S Vacuum moulding of a superplastic in two dimensions |
| title | Vacuum moulding of a superplastic in two dimensions |
| title_full | Vacuum moulding of a superplastic in two dimensions |
| title_fullStr | Vacuum moulding of a superplastic in two dimensions |
| title_full_unstemmed | Vacuum moulding of a superplastic in two dimensions |
| title_short | Vacuum moulding of a superplastic in two dimensions |
| title_sort | vacuum moulding of a superplastic in two dimensions |
| work_keys_str_mv | AT chapmans vacuummouldingofasuperplasticintwodimensions |