| EPSRC Reference: |
GR/R37418/01 |
| Title: |
Nonlinear anisotropic elasticity, instability and surface phenomena in solids |
| Principal Investigator: |
Ogden, Professor RW |
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| Department: |
School of Mathematics & Statistics |
| Organisation: |
University of Glasgow |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
12 November 2001 |
Ends: |
11 November 2002 |
Value (£): |
27,261
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| Healthcare |
No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
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The research is concerned with the description of the anisotropic properties of materials capable of large elastic strains, such as fibre-reinforced polymeric materials and biological soft tissues. In particular, it will be concerned with a general characterization of loss of ellipticity for classes of anisotropic elastic solids, with particular reference to materials with one or two preferred directions characterizing the symmetry of the material. This characterization will be used in a study of equilibrium shock and fibre kinking in polymeric composites. At the same time issues of material stability w be addressed with reference to connections between local aspects of stability and ellipticity and the influence of different anisotropies vis-a-vis isotrop The local analysis will then be extended to consideration of the stability of solutions for specific prototype boundary-value problems, especially in situations where the material admits local stability loss. Throughout, we shall identify specific and relatively simple forms of strain-energy function whi reflect both the general character of the type of anisotropy under consideration and the response that distinguishes the material behaviour from that found in isotropic materials. A second, but in part related, aspect of the research will be to develop a mechanical theory of a substrate material coated with a thin film of 'active material', involving, for example, oxide expansion or phase transformation of the surface film.
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Key Findings |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Potential use in non-academic contexts |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Impacts |
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| Description |
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk |
| Summary |
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| Date Materialised |
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Sectors submitted by the Researcher |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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| Project URL: |
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| Further Information: |
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| Organisation Website: |
http://www.gla.ac.uk |