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Non-periodic homogenization of bending-torsion theory for inextensible rods from 3D elasticity
| Content Provider | Semantic Scholar |
|---|---|
| Author | Marohnić, Maroje |
| Copyright Year | 2015 |
| Abstract | We derive, by means of Γ-convergence, the equations of homogenized bending rod starting from 3D nonlinear elasticity equations. The main assumption is that the energy behaves like h (after dividing by h, the order of vanishing volume), where h is the thickness of the body. We do not presuppose any kind of periodicity and work in the general framework. The result shows that, on a subsequence, we always obtain the equations of the same type as in bending-torsion rod theory and identifies, in an abstract formulation, the limiting quadratic form connected with that model. This result is the generalization of periodic homogenization of bending-torsion rod theory already present in literature. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | https://www.fer.unizg.hr/images/50017435/VelMargenhomfinal5.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
