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On microstructure evolution in fiber...

Li, Zhiyun.

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On microstructure evolution in fiber-reinforced elastomers and implications for their mechanical response and stability.

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	On microstructure evolution in fiber-reinforced elastomers and implications for their mechanical response and stability./
作者:	Li, Zhiyun.
面頁冊數:	43 p.
附註:	Source: Masters Abstracts International, Volume: 48-06, page: 3849.
Contained By:	Masters Abstracts International48-06.
標題:	Engineering, Mechanical. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=1477799
ISBN:	9781124063409

On microstructure evolution in fiber-reinforced elastomers and implications for their mechanical response and stability.
Li, Zhiyun.

On microstructure evolution in fiber-reinforced elastomers and implications for their mechanical response and stability. - 43 p.

Source: Masters Abstracts International, Volume: 48-06, page: 3849.

Thesis (M.S.)--State University of New York at Stony Brook, 2010.

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.

ISBN: 9781124063409Subjects--Topical Terms:

783786
Engineering, Mechanical.

On microstructure evolution in fiber-reinforced elastomers and implications for their mechanical response and stability.
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500 $a Adviser: Oscar Lopez-Pamies.
502 $a Thesis (M.S.)--State University of New York at Stony Brook, 2010.
520 $a 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.
520 $a Key words: Finite Strain; Microstructures, Instabilities, Homogenization, Hamilton-Jacobi Equation
590 $a School code: 0771.
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