Inverse problems of mixed type in linear plate theory
UNSPECIFIED. (2004) Inverse problems of mixed type in linear plate theory. EUROPEAN JOURNAL OF APPLIED MATHEMATICS, 15 (Part 2). pp. 129-146. ISSN 0956-7925Full text not available from this repository.
Official URL: http://dx.doi.org/10.1017/S0956792503005345
The characterisation of those shapes that can be made by the gravity sag-bending manufacturing process used to produce car windscreens and lenses is modelled as an inverse problem in linear plate theory. The corresponding second-order partial differential equation for the Young's modulus is shown to change type (possibly several times) for certain target shapes. We consider the implications of this behaviour for the existence and uniqueness of solutions of the inverse problem for some frame geometries. In particular, we show that no general boundary conditions for the inverse problem can be prescribed if it is desired to achieve certain kinds of target shapes.
|Item Type:||Journal Article|
|Subjects:||Q Science > QA Mathematics|
|Journal or Publication Title:||EUROPEAN JOURNAL OF APPLIED MATHEMATICS|
|Publisher:||CAMBRIDGE UNIV PRESS|
|Number of Pages:||18|
|Page Range:||pp. 129-146|
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