On the application of a Baecklund transformation to linear isotropic elasticity
| dc.contributor.author | Clements, D. | |
| dc.contributor.author | Rogers, C. | |
| dc.date.issued | 1974 | |
| dc.description.abstract | Baecklund transformations have been employed in gas-dynamics to reduce the hodograph equations to appropriate canonical forms in subsonic, transonic and supersonic flows; thus, for example, the important Kàrmàn-Tsien approximation may be generated as a consequence of a simple Baecklund transformation of the hodograph system. Here, it is shown that Weinstein's correspondence principle in generalized axially symmetric potential theory emerges as a particular member of a class of Baecklund transformations of the Stokes-Beltrami equations. An iterated form of the correspondence principle may be used to obtain solutions to certain boundary-value problems involving axiallysymmetric deformations of an incompressible isotropic linear elastic material. Such solutions assume an added importance in the light of recent work by Selvadurai & Spencer, where the first order theory serves as the basis for solutions in second order incompressible finite elasticity. © 1974 by Academic Press Inc. (London) Limited. | |
| dc.identifier.citation | IMA Journal of Applied Mathematics, 1974; 14(1):23-30 | |
| dc.identifier.doi | 10.1093/imamat/14.1.23 | |
| dc.identifier.issn | 0272-4960 | |
| dc.identifier.issn | 1464-3634 | |
| dc.identifier.uri | http://hdl.handle.net/2440/465 | |
| dc.language.iso | en | |
| dc.publisher | Oxford University Press (OUP) | |
| dc.source.uri | https://doi.org/10.1093/imamat/14.1.23 | |
| dc.title | On the application of a Baecklund transformation to linear isotropic elasticity | |
| dc.type | Journal article | |
| pubs.publication-status | Published |