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| Content Provider | Springer Nature Link |
|---|---|
| Author | Wang, Xu Schiavone, Peter |
| Copyright Year | 2015 |
| Abstract | We consider the deformation of a nanocomposite by incorporating the effect of surface elasticity on the finite plane deformations of a circular inhomogeneity embedded in a particular class of compressible hyperelastic materials of harmonic type subjected to uniform remote Piola stresses. We incorporate the surface mechanics by using a version of the continuum-based surface/interface model of Gurtin and Murdoch. A complete solution is derived by reducing the original boundary value problem to two coupled first-order differential equations which can be solved analytically. The solution clearly demonstrates that the stress fields in the composite are size dependent and that the stress field inside a circular inhomogeneity is, in general, non-uniform. Two special cases which admit an internal uniform, yet size-dependent stress field, are discussed. |
| Ending Page | 2879 |
| Page Count | 9 |
| Starting Page | 2871 |
| File Format | |
| ISSN | 00442275 |
| e-ISSN | 14209039 |
| Journal | Zeitschrift für angewandte Mathematik und Physik |
| Issue Number | 5 |
| Volume Number | 66 |
| Language | English |
| Publisher | Springer Basel |
| Publisher Date | 2015-04-16 |
| Publisher Place | Basel |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Micromechanics PDEs in connection with mechanics of deformable solids Mathematical Methods in Physics Harmonic material Finite deformation Analytic continuation Size-dependent elastic field Inhomogeneity Surface elasticity Nonlinear elasticity Theoretical and Applied Mechanics Differential equations on complex manifolds |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics Physics and Astronomy |
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