| dc.identifier.uri | http://hdl.handle.net/1951/55525 | |
| dc.identifier.uri | http://hdl.handle.net/11401/72583 | |
| dc.description.sponsorship | This work is sponsored by the Stony Brook University Graduate School in compliance with the requirements for completion of degree. | en_US |
| dc.format | Monograph | |
| dc.format.medium | Electronic Resource | en_US |
| dc.language.iso | en_US | |
| dc.publisher | The Graduate School, Stony Brook University: Stony Brook, NY. | |
| dc.type | Thesis | |
| dcterms.abstract | Lopez-Pamies and Idiart [Lopez-Pamies, O., Idiart, M.I., 2010, Fiber-reinforced hyperelastic solids: A realizable homogenization constitutive theory. Journal of Engineering Mathematics, doi:10.1007/s10665-009-9359-y.] have recently put forward a homogenization theory with the capability to generate exact results not only for the macroscopic response and stability, but also for the evolution of the microstructure in fiber-reinforced hyperelastic solids subjected to finite deformations. In this thesis, we make use of this new theory to construct exact, closed-form solutions for the change in size, shape, and orientation undergone by the underlying fibers in a model class of fiber-reinforced hyperelastic solids along arbitrary 3D loading conditions. Making use of these results we then establish connections between the evolution of the microstructure and the overall stress-strain relation and macroscopic stability in fiber-reinforced elastomers. In particular, we show that the rotation of the fibers may lead to the softening of the overall stiffness of fiber-reinforced elastomers under certain loading conditions. Furthermore, we show that this geometric mechanism is intimately related to the development of long-wavelength instabilities. These findings are discussed in light of comparisons with recent results for related material systems. | |
| dcterms.available | 2012-05-15T18:04:54Z | |
| dcterms.available | 2015-04-24T14:52:42Z | |
| dcterms.contributor | Goldman, Vladimir J. | en_US |
| dcterms.contributor | Robert Kukta | en_US |
| dcterms.contributor | Chad Korach. | en_US |
| dcterms.creator | Li, Zhiyun | |
| dcterms.dateAccepted | 2012-05-15T18:04:54Z | |
| dcterms.dateAccepted | 2015-04-24T14:52:42Z | |
| dcterms.dateSubmitted | 2012-05-15T18:04:54Z | |
| dcterms.dateSubmitted | 2015-04-24T14:52:42Z | |
| dcterms.description | Department of Mechanical Engineering | en_US |
| dcterms.format | Monograph | |
| dcterms.format | Application/PDF | en_US |
| dcterms.identifier | http://hdl.handle.net/1951/55525 | |
| dcterms.identifier | Li_grad.sunysb_0771M_10117.pdf | en_US |
| dcterms.identifier | http://hdl.handle.net/11401/72583 | |
| dcterms.issued | 2010-05-01 | |
| dcterms.language | en_US | |
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Previous issue date: 1 | en |
| dcterms.publisher | The Graduate School, Stony Brook University: Stony Brook, NY. | |
| dcterms.subject | Finite Strain, Hamilton-Jacobi Equation, Homogenization, Instabilities, Microstructures | |
| dcterms.subject | Engineering, Mechanical | |
| dcterms.title | On Microstructure Evolution in Fiber-reinforced Elastomers and Implications for Their Mechanical Response and Stability | |
| dcterms.type | Thesis | |
